Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References

The Political Economy of Economic Complexity: Theory, Data, Methods Section 2 Introducing the Economic Complexity Index (ECI)

Claudius Gräbner 1,2,3

1University of Duisburg-Essen Institute for Socioeconomics

2Johannes Kepler University Linz Institute for Comprehensive Analysis of the Economy

3ZOE. Institute for Future-Fit Economies

EAEPE Pre-Conference September 11-12 2019

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 1 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References Outline

1. General introduction & motivation: drivers of economic development

2. Introducing the Economic Complexity Index (ECI)

2.1 Historical genesis

2.2 How to compute economic complexity

2.3 Theories underlying economic complexity

2.4 Advantages and critiques of the measure

3. Practice: using data from the Atlas of Economic Complexity

4. Selected applications

5. Outlook: using economic complexity in your own research

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 2 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References What is economic complexity?

• Distinction between and economic complexity as used here

• Complexity economics considers the economy as a and uses corresponding methods from various sciences

• More a school of thought or a research program a la Lakatos

• Economic complexity as used here refers to the ability of regions perform certain activities

• More a property of entities, although a general approach to development (CAD) is built upon this

• While there are important complementarities and relations we deal with the second interpretation -- and its variants -- here

• The precise definition and interpretation of `complexity' differs among methodological approaches

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 3 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References Measures

• There are a number of measures that run under to label `economic complexity'

• Many of them are used to quantify the complexity of technologies

• We focus on the Economic Complexity Index -- a slightly different thing

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 4 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References Measures of complexity - examples

The invention complicatedness(Fleming and Sorenson, 2001)

• Comes from innovation research and quantifies difficulty of making technologies • Technologies as combinations of ideas, the latter being proxied by patents • The less frequent we observe a technology, the more difficult it is to make

Structural complexity (Broekel, 2017)

• Originally applied to regions, but invariant w.r.t. scale • Quantifies the structure of knowledge as a network of ideas • Relies on patent data

The Economic Complexity Index

• Developed in the context of countries and their productive capabilities • Underlying data: exports of products (as obtained by e.g. UN COMTRADE) • Main interest: relationship between complexity, development and inequality

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 5 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References Introductory remarks

• The Economic Complexity Index is the result of applying the method of reflections to international trade data

• Resulting measure of complexity at the heart of a broader theory of development

• A whole research program with micro- and macroeconomic research is built around this concept

• We will refer to this as the complexity approach to economic development (CAD)

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 6 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References

The fundamental questions of the CAD is straightforward:

Why are some countries rich, and some countries poor?

Why do some poorer countries catch up, and other not?

The CAD is yet another – but promising – attempt to answer these questions.

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 7 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References What the CAD is not (mainly) about

• The CAD contends having identified a main source for the dynamics just sketched

• This source...

• ... is not physical capital or land

• ... is not human capital or education

• ...is not power

• ... is not (strictly) about export growth or diversification

• Rather, the CAD relates the path to prosperity to collective knowledge

• Societies prosper if they manage to facilitate collective learning such that members do things that require many person bytes

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 8 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References The complexity approach - quick history I

• At Harvard, and Rodrik (2003) develop the idea of development as a discovery process • Ricardo Hausmann and Klinger (2006) extend this to the idea of the product space as a formalization of knowledge spillovers • At that time, Cesar Hidalgo was a physicist doing his PhD in network science with Albert-Làszlò Barabàsi in Notre Dame • Originally he looks for ways to visualize trade data as a network • Thereby he started to work with Ricardo Hausmann and developed the idea of the product space (Cesar A Hidalgo et al., 2007) • This work gets extended into a general measure of economic Cesar Hidalgo (MIT) complexity (C A Hidalgo and Hausmann, 2009)

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 9 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References The complexity approach - quick history II

• Hausmann and Hidalgo stopped collaborating a few years ago • Hidalgo continues to work on complexity, but in a broader way and mainly with economic geographers • There much empirical work done on the microfoundations and policy implications of complexity at Hausmann's CID • The method as has been constructively criticized (and somehow re-interpreted) by Tacchella et al. (2012) • Now very popular in interdisciplinary discourse and economic geography, less so in economics Ricardo Hausmann (Harvard)

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 10 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References The fundamental building blocks

• We approach the ECI via its fundamental theoretical building blocks:

1. The idea that person bytes are a major determinant of development

2. The idea of how to measure person bytes

3. The idea of diversity and ubiquity of products and ideas

4. The idea of the product space

5. The definition of the ECI and the PCI

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 11 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References The fundamental building blocks

• We approach the ECI via its fundamental theoretical building blocks:

1. The idea that person bytes are a major determinant of development

2. The idea of how to measure person bytes

3. The idea of diversity and ubiquity of products and ideas

4. The idea of the product space

5. The definition of the ECI and the PCI

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 12 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References Fundamental idea I: Information, person bytes, and development

• Originally, Hidalgo was interested in how (physical) information in an economy and economic development relate (Cesar A Hidalgo, 2015)

• He argues that a good measure for the information accumulated by an economy are the products the economy can make

• Products are `crystallized information' because they store the knowledge required for their creation

• But why bother about this information?

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 13 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References

• As it is common, HH consiter technology to be essential for development, but for them technology consists of knowledge, recipes and tools

• So HH claim that the source for development lies in the collective knowledge accumulated in an economy

• It is not about individual knowledge:

• Individual knowledge of a person is referred to as a person byte

• If this were decisive, better education would imply positive development

• But the key is that people learn how to create and use knowledge together,

• This allows them to do things that require more than one person byte

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 14 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References The fundamental building blocks

• We approach the ECI via its fundamental theoretical building blocks:

1. The idea that person bytes are a major determinant of development

2. The idea of how to measure person bytes

3. The idea of diversity and ubiquity of products and ideas

4. The idea of the product space

5. The definition of the ECI and the PCI

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 15 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References Fundamental idea II: Measuring person bytes • How can the person bytes of an economy be measured? • Anecdotal evidence: median firm sizes • HH argue that looking at the outcomes of exploiting collective knowledge is informative • Products are `crystallized information': store knowledge required for their creation • Products produced in a society provide information about collective knowledge

A Countries Capabilities Products c1 a1 p1 MYS PAK c2 a2 p2

c3 a3 p3

Countries Products

c1 p1

c2 p2 JPN PHL c3 p3

Source: C A Hidalgo and Hausmann (2009, p. 10571) B Node Color SITC-4 Category Name • → Data on the production of products0-999 Food & basically live animals unavailable export data • 1000-1999 Beverages & tobacco For each product p: has country2000-2999c haveRaw materials a Revealed Comparative Advantage 3000-3999 Mineral fuels, lubricants & related materials 35 4000-4999 Animal & vegetable oils, fats & waxes MWI FJI Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019MDG 16 / 47 5000-5999 Chemicals HTIHND WSM SLV GTM 6000-6999 Manufactured goods by material GMB NIC GIN GUY JAM 7000-7999 Machinery & transport equipment TGO MUSBGD 8000-8999 Miscellanous manufactured articles CAF SDN MAC 30 TKMMNGCRI DOM UGASYRKEN 9000-9999 Miscellaneous CMR SENNPLMOZ ALB MAR BDI BLZ TZA GAB LVAPAK ETH BLR NCL TJKBHR MDA LTU Fig. 1. Quantifying countries’ economic complexity. NGATTOGHA LKA PNG AZEBOL EGY BFACIV LBN EST ZMBVEN ECUZWE CYP c,1 (A) A country will be able to produce a product if it has BENISLARM PHLPAN

c,1 KGZ 25 DZA BHS GEO JOR PER HRV TUR RWA SLEMLT COL ROM k SAUKNA PRY IDNGRC all of the available capabilities, hence the bipartite OMN MLI C Non-Diversified Diversified NERIRN BRB CHL NZL PRT URY THA network connecting countries to products is a result of ZAFUKR SVKIND POL Countries Countries MEX SVN KAZ NOR ARG HUN Producing Producing AUSHKG CHN the tripartite network connecting countries to their RUS BRADNK ESP Standard Standard 20 ISR CAN CZE FIN KOR ITA available capabilities and products to the capabilities Products Products MYS NLD AUT c,1 IRL SWE they require. (B) Network visualization of a subset of k Non-Diversified Diversified SGP GBR DEU USA Mcp in which we show Malaysia (MYS), Pakistan (PAK), Countries Countries 15

Producing Philippines (PHL), Japan (JPN), and all of the products STATISTICS Producing JPN Exclusive Exclusive exported by them in the year 2000 (colored circles), Products Products illustrating how countries and products are connected 10 kc,0 0 100 200 300 400 in Mcp.(C) kc,0–kc,1 diagram divided into 4 quadrants defined by the empirically observed averages ͗kc,0͘ and kc,0 ͗kc,1͘.

productspace/data.html); second, the COMTRADE Harmonized kc,0 ϭ ͸ Mcp, [3] System at the 4-digit level; and third, the North American Industry p

Classification System (NAICS) at the 6-digit level (SI Appendix, ECONOMIC SCIENCES Section 1). We interpret these data as bipartite networks in which kp,0 ϭ ͸ Mcp. [4] countries are connected to the products they export (Fig. 1B). c Mathematically, we represent this network using the adjacency matrix Mcp,whereMcp ϭ 1ifcountryc is a significant exporter of kc,0 and kp,0 represent, respectively, the observed levels of diversi- product p and 0 otherwise. We consider country c to be a significant fication of a country (the number of products exported by that exporter of product p if its Revealed Comparative Advantage country), and the ubiquity of a product (the number of countries (RCA) (the share of product p in the export basket of country c to exporting that product). Hence, we characterize each country the share of product p in world trade) is greater than some threshold through the vector kជc ϭ (kc,0, kc,1, kc,2 ...kc,N)andeachproductby value, which we take as 1 in this exercise (RCAcp Ն 1) (see SI the vector kជp ϭ (kp,0,kp,1,kp,2,...,kp,N). Appendix,Section2). For countries, even variables (kc,0,kc,2,kc,4,...) are generalized measures of diversification, whereas odd variables (kc,1,kc,3,kc,5,...) Method of Reflections. We characterize countries and products by are generalized measures of the ubiquity of their exports. For introducing a family of variables capturing the structure of the products, even variables are related to their ubiquity and the network defined by Mcp (SI Appendix,Section3).Becauseofthe ubiquity of other related products, whereas odd variables are symmetry of the bipartite network, we refer to this technique as the related to the diversification of countries exporting those products. ‘‘Method of Reflections,’’ as the method produces a symmetric set In network terms, kc,1 and kp,1 are known as the average nearest of variables for the 2 types of nodes in the network (countries and neighbor degree (9,10). Higher order variables, however, (N Ͼ 1) products). can be interpreted as a linear combination of the properties of all The Method of Reflections consists of iteratively calculating the of the nodes in the network with coefficients given by the proba- average value of the previous-level properties of a node’s neighbors bility that a random walker that started at a given node ends up at and is defined as the set of observables: another node after N steps (see SI Appendix,Section4).

1 Results kc,N ϭ ͸ Mcpkp,NϪ1, [1] We can begin understanding the type of information about coun- kc,0 p tries captured by the Method of Reflections by looking at where 1 countries are located in the space defined by the first two sets of variables produced by our method: k and k .Fig.1C shows that kp,N ϭ ͸ Mcpkc,NϪ1, [2] c,0 c,1 kp,0 c there is a strong negative correlation between kc,0 and kc,1 (10, 11), meaning that diversified countries tend to export less ubiquitous for N Ն 1. With initial conditions given by the degree, or number products. Deviations from this behavior, however, are informative. of links, of countries and products: For example, whereas Malaysia and Pakistan export the same

Hidalgo and Hausmann PNAS ͉ June 30, 2009 ͉ vol. 106 ͉ no. 26 ͉ 10571 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References The Revealed Comparative Advantage • Is share of p in export basket of c larger than in the total exports of the world market? • Let P be the set of all products, and C the set of all countries

Xcp P (1) p0∈P Xcp0

• The share of product p ∈ P in the export basket of country c ∈ C

P c0∈C Xc0p P P (2) c0∈C p0∈P Xc0p0

• Share of the product in total exports in the world • RCA of country c in product p is given by:

P Xcp/ p0∈P Xcp0 RCAcp = P P P (3) c0∈C Xc0p/ c0∈C p0∈P Xc0p0

• If RCAcp > 1, c has a RCA in a product p and is a `notable' exporter of p

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 17 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References

• How do you think the RCA is distributed across countries and products?

• Consider a matrix M with rows denoting countries, and columns products

• mcp = 1 ↔ RCAcp > 1 Countries

Products

• We call this a lower-triangular matrix

• What would be the Ricardian prediction?

• A block-diagonal matrix

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 18 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References The fundamental building blocks

• We approach the ECI via its fundamental theoretical building blocks:

1. The idea that person bytes are a major determinant of development

2. The idea of how to measure person bytes

3. The idea of diversity and ubiquity of products and ideas

4. The idea of the product space

5. The definition of the ECI and the PCI

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 19 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References Fundamental idea III: Diversity and ubiquity

• The MoR is build upon the concepts of diversity and ubiquity • The diversity of a country refers to the number of products it exports with RCA • Row sum of matrix M:

X kc,0 = Mcp (4) p

• Diversity of a country's export basket • The ubiquity of a product refers to the number of countries that export it with RCA • Column sums of matrix M:

X κp,0 = Mcp (5) c

• Ubiquity of a product • Its a good idea to compute these on your own (although packages for R and Python are available on the course homepage)

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 20 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References Fundamental idea III: Diversity and ubiquity

• The diversity of a country refers to the number of products it exports with RCA • The ubiquity of a product refers to the number of countries that export it with RCA • How do the two relate?

1 X kc,1 = Mcpκp,0 (6) kc,0 p 1 X κ ,1 = M k ,0 (7) p κ cp c p,0 c

• For the first iteration remember the clear-cut interpretations:

Explanation

kc,0 Number of products exported by country c. kc,1 Average ubiquity of the products exported by country c.

κp,0 Number of countries exporting product p. κp,1 Average diversification of the countries exporting product p.

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 21 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References

• The diversity of a country refers to the number of products it exports with RCA • The ubiquity of a product refers to the number of countries that export it with RCA • How do the two relate? k_c_0 vs. k_c_1 k_p_0 vs. k_p_1 35

400

30

300

25 k.c.1 k.c.1

200

20

100

0 200 400 0 10 20 30 40 50 k.c.0 k.c.0

Negative relationship between kc,0 and kc,1 I More diversified countries tend to export less ubiquitous products.

Negative relationship between kp,0 and kp,1 I More ubiquitous products tend to be exported by less diversified countries.

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 22 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References

An important lesson

• This approach is data-driven and rough, so derivations from relationships occur frequently. • However, such derivations are usually interesting and make us think!

Example • Two countries that are similarly diversified are Finland (kFIN,0 = 252) and Kenya (kKEN,0 = 250) • Yet the products exported by Finland are exported on average by kFIN,1 = 24 countries • The products exported by Kenya are exported on average by kKEN,1 = 36 countries • Products exported by Finland are exported by fewer countries than those exported by Kenya • By considering kFIN,3 we can then make the statement that products exported by Finland are exported by more diversified countries than those exported by Kenya - this is where the ECI measure is heading to • So, diversification in itself does not seem to be very attractive • Rather, it is important, what kind of products you produce • Ricardo Hausmann, Hwang, and Rodrik (2007): ``What you export matters``

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 23 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References The fundamental building blocks

• We approach the ECI via its fundamental theoretical building blocks:

1. The idea that person bytes are a major determinant of development

2. The idea of how to measure person bytes

3. The idea of diversity and ubiquity of products and ideas

4. The idea of the product space

5. The definition of the ECI and the PCI

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 24 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References Fundamental idea IV: The product space

• The product space is a network where... • ... each node is a product • ... each link captures the proximity of two products • What is meant by proximity? → Boschma (2005) • For two products i and j, proximity is given by:

 φi,j = min P(RCAi |RCAj ), P(RCAj |RCAi ) (8)

• φi,j is high if... • ...countries that have an RCA for product i also have an RCA for product j • Example: apples and oranges, or microprocessors and transistors

• φi,j is low if... • ...countries that have an RCA for product i are rather unlikely to also have an RCA for j • Example: apples and microprocessors, or oranges and transistors • Cesar A Hidalgo et al. (2007) represent this as a network • Interpretation: close products require similar knowledge

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 25 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References The product space

Source: Ricardo Hausmann, Cesar A Hidalgo, et al. (2014)

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 26 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References The product space

Industrialized Latin American African countries countries countries

Source: Ricardo Hausmann, Cesar A Hidalgo, et al. (2014)

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 27 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References Some remarks on the product space

• The product space is outcome-based

• Two products are close if they require similar inputs

• It says little about what these inputs are and how they can be acquired

• Infrastructure, institutions, human capital... • Capabilities of individual people... • ...and ability of organizations to bring them together

• How such capability accumulation takes place is one of the major research frontiers of the CAD • Taking the product space seriously implies accepting a number of political economy issues:

• Do countries in the core really have an incentive to let other countries enter the core? • Isn't international trade much more zero-sum than commonly believed? • Doesn't this imply that dependency theories, infant industry protection, and technology gap research has much more merit than commonly believed?

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 28 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References The fundamental building blocks

• We approach the ECI via its fundamental theoretical building blocks:

1. The idea that person bytes are a major determinant of development

2. The idea of how to measure person bytes

3. The idea of diversity and ubiquity of products and ideas

4. The idea of the product space

5. The definition of the ECI and the PCI

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 29 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References An ECI and an PCI

• When talking about the ECI we are actually talking about two distinct measures

• First, the ECI is a measure for countries

• Second, the PCI is a measure for products

• In theory, it takes a complex country to manufacture a complex product...

• ...and complex products are those that can only be manufactured in complex countries

• This mutual dependency entails the key to compute these measures

• But in practice they can be used for quite distinct purposes

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 30 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References Fundamental idea V: The ECI and PCI

• The economic complexity index (ECI) and the product complexity indec (PCI) wrap up all the above-set into single numbers • We begin with our measures for ubiquity and diversity

1 X kc,N = Mcpκp,N−1 (9) kc,0 p 1 X κ = M k (10) p,N κ cp c,N−1 p,0 c

• For the first iterations remember the clear-cut interpretations:

Explanation

kc,0 Number of products exported by country c. kc,1 Average ubiquity of the products exported by country c. kc,2 Average diversification of countries with an export basket similar to country c.

κp,0 Number of countries exporting product p. κp,1 Average diversification of the countries exporting product p. κp,2 Average ubiquity of the products exported by countries that export product p.

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 31 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References Deriving the ECI

• We can drive the recursions of kc,N and κp,N to the limit:

• Inserting equation (10) into (9):

1 X 1 X kc,N = Mcp Mc0pkc0,N−2 (11) kc,0 κp,0 p c0

• which corresponds to:

X X McpMc0p kc,N = kc0,N−2 . (12) kc,0κp,0 c0

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 32 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References Deriving the ECI

• We can drive the recursions of kc,N and κp,N to the limit:

• Inserting equation (10) into (9):

1 X 1 X kc,N = Mcp Mc0pkc0,N−2 (13) kc,0 κp,0 p c0

• which corresponds to:

X X McpMc0p kc,N = kc0,N−2 . (14) kc,0κp,0 c0 p

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 33 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References

P McpMc0p • Setting M˜ 0 = : cc p kc,0κp,0

X ˜ kc,N = kc0,N−2Mcc0 . (15) c0

• Recursion (15) reaches an equilibrium whenever kc,N = kc,N−2 = 1. • Taking the eigenvector K~ that corresponds to the second-largest eigenvalue of ˜ Mcc0 in equilibrium yields after normalization:

K~ − mean(K~ ) ECI = (16) sd(K~ )

• Equivalent reasoning and assuming that Q~ is the product equivalent to K~ :

Q~ − mean(Q~ ) PCI = (17) sd(Q~ )

• If not directly digestible, I suggest you calculate one of the examples outlined in C A Hidalgo and Hausmann (2009) • Have a look at the R and Python code on the course homepage

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 34 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References Overview

• The ECI and PCI are outcome-based measures

• They did not emerge from a clearly demarcated theoretical framework

• Given their focus on knowledge and discovery they are inspired by evolutionary theories

• At the same time, the lack of concrete theoretical underpinning is one of the greatest weaknesses of the approach

• Here I want to highlight three interesting complementary stream of literature:

1. Hidalgo's work on the role of information in economics

2. The theoretical affinity to Latin American structuralism

3. The affinity to the evolutionary theory of technology gaps

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 35 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References An underlying theory?

1. Hidalgo's work on the role of information in economics

2. The theoretical affinity to Latin American structuralism

3. The affinity to the evolutionary theory of technology gaps

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 36 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References Hidalgo on economic growth as growth of information I

• Cesar A Hidalgo (2015) presents an sketch of a theory underlying complexity • Inspired by Hidalgo's education as a physicist it rethinks economic growth as growth of information • For him, the fundamental question of economics (and social sciences in general) is: where does the order in our society come from? • According to the second law of thermodynamics, we should observe increasing disorder • The counter-forces are information and computation • Information is the order embodied in codified sequences such as DNA • To grow, information needs energy to emerge, matter to be stored, and computational abilities of matter to adapt and evolve

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 37 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References Hidalgo on economic growth as growth of information II

• Economies grow and evolve through the embodiment of increasingly large amounts of information into increasingly complex physical objects

• But a single human has limited computational power - that of a person byte

• But as social animals humans can distribute their computational power in networks • They can also `cristalyze' their computations and imaginations in products -- which are considered ``crystalized imagination''

• This implies that the stronger the ties between humans in a society, the more they can counter-act the natural tendency to disorder

• Complex activities tend to be concentrated to regions with a diverse set of knowledge

• Key conclusion: ``over the long run a region's level of income will approach the complexity of its economy'' (p. 180).

• Unfortunately, what remains open is the answer to the most important questions:

• Why are knowledge and knowhow distributed in such a specific way?

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 38 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References An underlying theory?

1. Hidalgo's work on the role of information in economics

2. The theoretical affinity to Latin American structuralism

3. The affinity to the evolutionary theory of technology gaps

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 39 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References The affinity between the CAD & structualism I

• Structualism as a theoretical framework emerged in Latin America in the 1950s

• Continues to thrive today, particularly within the Economic Commission for Latin America and the Caribbean (ECLAC)

• Posits that the industrial structure determines the direction of economics development

• Development process reallocation from low productivity to high productivity sectors where increasing returns to scale

• Globally, there are dominant cores and dependent peripheries, related to each other via global trade and payment flows

• The only way for the peripheries to escape their situation is technological upgrading

• The theoretical claims have been very difficult to test

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 40 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References The affinity between the CAD & structualism II

• Just as Hidalgo, the structualists emphasize the role of production structures and the unequal distribution of technological capabilities

• The product space seems to be the vehicel to test stuctualist conjectures

• The product space is a core-periphery network

• The richer countries are located in the core, the poorer countries in the periphery

• The struggle to reach the centre is one of technological upgrading

• But it is also a struggle of interests -- with asymmetric power relations playing an essential role

• Moreover, structualism is a very systemic theory, Hidalgo's theory is not

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• The combination of complexity and structualism seems particularly promising for the European Union The european trade network in 2016

• Core-periphery thinking has some LTU ● DNK ● tradition here ESP ● ITA ● • Today the core-periphery thinking LUX ●

SVK ● enjoys a revival (Simonazzi, NLD ● Ginzburg, and Nocella, 2013; ROU ● EST ● Gräbner et al., 2017; Celi et al., DEU IRL ● AUT ●

2018; Gräbner et al., 2019, e.g.) ● BEL ● LVA SWE ● • Also indicates that the dichotomy ● between core and periphery SVN ● CZE PRT ● becomes difficult to sustain (Gräbner FIN ●

● et al., 2019, e.g.) BGR ● HUN MLT ● • CYP ● The ability to produce complex POL ● products seems to be one important FRA ● GRC ● explanation for the polarization between rich and poor • Discuss in more detail during applications section

Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 42 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References An underlying theory?

1. Hidalgo's work on the role of information in economics

2. The theoretical affinity to Latin American structuralism

3. The affinity to the evolutionary theory of technology gaps

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• Technological change and innovation has been a central topic in evolutionary economics

• The idea of knowledge as a central diver of economic development led to a critical view on the idea of comparative advantage

• It has frequently been argued for the relevance of absolute advantages and the relevance of technology gaps (Dosi, Grazzi, and Moschella, 2015)

• The resulting theories of economic development were mostly applicable on the regional level

• Today strong overlap with economic geography

• Current focus is on empirics of knowledge flows and spillovers

• The relation to the theory of economic complexity are natural and bear the potential for a clearer theoretical foundation

• Less attention is put on the macroeconomic level and the political economy dimension, though

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• There are two related measures associated with the CAD: • The Economic Complexity Index (ECI) • The Economic Complexity Index (PCI) • The ECI measures the amount of technological capabilities accumulated in a country (or region...) • The PCI measure the amount of tech capabilities required to manufacture a product • One starts with an export matrix, with the rows being countries and the columns products • The nb of countries exporting a product denote its ubiquity • The nb of products a country exports denotes its diversity • By correcting ubiquity by the diversity of the exporting countries and vice versa we eventually come the ECI and PCI • The structure of the matrix can also be formalized as a network - the product space • Products in the center are most attractive -- countries exporting these countries tend to be rich • The theoretical underpinning of the approach is poor, but there are affinities to structualist and evolutionary theory

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Ron Boschma. “Proximity and Innovation: A Critical Assessment”. In: Regional Studies 39.1 (Feb. 2005), pp. 61–74. Tom Broekel. “Measuring technological complexity - Current approaches and a new measure of structural complexity”. In: (2017). Giuseppe Celi et al. Crisis in the European Monetary Union. A Core-Periphery Perspective. London: Routledge, 2018. Giovanni Dosi, Marco Grazzi, and Daniele Moschella. “Technology and costs in international competitiveness: From countries and sectors to firms”. In: Research Policy 44.10 (Dec. 2015), pp. 1795–1814. Lee Fleming and Olav Sorenson. “Technology as a complex adaptive system: evidence from patent data”. In: Research Policy 30.7 (Aug. 2001), pp. 1019–1039. Claudius Gräbner et al. “Is Europe disintegrating? Macroeconomic divergence, structural polarization, trade and fragility”. In: ICAE Working Paper 64 (July 2017). Claudius Gräbner et al. “Structural change in times of increasing openness: assessing path dependency in European economic integration”. In: Journal of Evolutionary Economics forthcoming (2019). Ricardo Hausmann, Cesar A Hidalgo, et al. The Atlas of Economic Complexity. Cambridge, MA: Puritan Press, 2014. C A Hidalgo and R Hausmann. “The building blocks of economic complexity”. In: Proceedings of the National Academy of Sciences 106.26 (2009), pp. 10570–10575. Ricardo Hausmann, Jason Hwang, and Dani Rodrik. “What you export matters”. In: Journal of Economic Growth 12.1 (2007), pp. 1–25. Cesar A Hidalgo et al. “The Product Space Conditions the Development of Nations”. In: Science 317.7 (2007), pp. 482–487. Cesar A Hidalgo. Why Information Grows. The Evolution of Order, from Atoms to Economies. New York, NY: Basic Books, 2015. Gräbner Economic Complexity 2: Intro to the ECI 11-12.09.2019 46 / 47 Introductory remarks The fundamental building blocks Computing the ECI Underlying theory Summary References References II Ricardo Hausmann and Bailey Klinger. “Structural Transformation and Patterns of Comparative Advantage in the Product Space”. In: CID Working Papers (Aug. 2006).

Ricardo Hausmann and Dani Rodrik. “Economic development as self-discovery”. In: Journal of Development Economics 72.2 (Dec. 2003), pp. 603–633.

Annamaria Simonazzi, Andrea Ginzburg, and Gianluigi Nocella. “Economic Relations Between Germany and Southern Europe”. In: Cambridge Journal of Economics 37.3 (2013), pp. 653–675.

Andrea Tacchella et al. “A New Metrics for Countries’ Fitness and Products’ Complexity”. In: Scientific Reports 2.723 (Oct. 2012), pp. 1–7.

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