General Equilibrium and Economic Welfare
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General Equilibrium Theory and Welfare Economics: Theory Vs
General Equilibrium Theory and Welfare Economics: Theory vs. Praxis The development of economic thought after World War II has been nothing short of protean in character, yet it can be traced, at least in part, by following a number of lines resulting from attempts to flesh-out, resolve, or simply come to terms with general equilibrium theory. As you might recall from subunit 4.1.2, general equilibrium theory came about in the latter half of the 19th century explicitly in the form of Leon Walras’s 1874 work, Elements of Pure Economics, and subsequently with the addition of graphical representation in his 1892 paper “Geometrical Theory of the Determination of Prices”: It follows from the nature of the [supply and demand] curves, that we shall obtain the provisional current price of (B) by raising it in case of a surplus of effective demand over effective supply, and lowering it, on the contrary, in case of a surplus of effective supply over effective demand. Passing then to the determination of the current price of (C), then to the current price of (D) ..., we obtain them by the same means. It is quite true that, in determining the price of (C), we may destroy the equilibrium in respect to (B); that, in determining the price of (D), we may destroy the equilibrium in respect to (B), and in respect to (C), and so on. But as the determinations of the prices of (C), (D) ... in respect to the demand and supply of (B), will result in a contrary way, we shall always be nearer the equilibrium at the second trial than at the first. -
2B Tax Incidence : Partial Equilibrium the Most Simple Way of Analyzing
2b Tax Incidence : Partial Equilibrium The most simple way of analyzing tax incidence is to use demand curves and supply curves. This analysis is an example of a partial equilibrium model. Partial equilibrium models look at individual markets in isolation. They are appropriate when the effects of the tax change are | for the most part | confined to one market. They are inappropriate when there are changes in other markets. Why might partial equilibrium analysis be misleading in many cases? Recall that a demand curve for some commodity expresses the quantity consumers wish to buy of a good as a function of the price they pay for that good | holding constant a bunch of stuff. In particular, when drawing an ordinary [as opposed to a compensated] demand curve for socks, we are holding constant the prices buyers pay for all other goods (other than socks), and the incomes of all the buyers. Very often, a tax will change not only the price that consumers pay for socks, but the prices they pay for other goods. For example, an 8 percent sales tax should have some effects on the market for socks. But since a sales tax also applies to many more goods than socks, the sales tax will also probably affect the equilibrium price of shoes, pants, and many other commodities. All these changes will shift the demand curve for socks, if there are any important substitutabilities or complementarities in the demand for socks with the prices of other goods. So partial equilibrium analysis of the market for some commodity, or group of commodities, will be useful, and reasonably accurate, only when looking at at tax which applies only to that group of commodities. -
PARTIAL EQUILIBRIUM Positive Analysis
PARTIAL EQUILIBRIUM Positive Analysis [See Chap 12 ] 1 Equilibrium • How are prices determined? • Partial equilibrium – Look at one market. – In equilibrium, supply equals demand. – Prices in all other markets are fixed. • General Equilibrium – Look at all markets at once. – Consider interactions. 2 Example: Car Market • What happens if the Chinese Govt builds more roads? • Partial equilibrium – Demand for cars rises. – Quantity of cars rises. – Price of cars rises. • General equilibrium – Price of inputs rises. Increases car costs. – Value of car firms rises. Shareholders richer and buy more cars. 3 1 Model • We are interested in market 1. – Price is denoted by p 1, or p. – Firms/Consumers face same price (law of one price). – Firms/Consumers are price takers. 4 Model • There are J agents who demand good 1. – Agent j has income m j – Utility u j(x 1,…,x N) – Prices {p 1,…,p N}, with {p 2,…,p N} exogenous. • There are K firms who supply good 1. – Firm k has technology f k(z 1,…,z M) – Input prices {r 1,…,r M} exogenous. 5 Competitive Market • To understand how the market functions we consider consumers’ and firms’ decisions. • The consumers’ decisions are summarized by the market demand function. • The firms’ decisions are summarized by the market supply function. 6 2 MARKET DEMAND 7 Market Demand • Market demand is the quantity demanded by all consumers as a function of the price of the good. – Hold constant price of the other goods. – Hold constant agents’ incomes. 8 Market Demand • Assume there are two goods, x1 and x2. -
On Welfare Economics in the Principles Course
THE JOURNAL OF ECONOMIC EDUCATION , VOL. , NO. , – http://dx.doi.org/./.. CONTENT ARTICLES IN ECONOMICS On welfare economics in the principles course N. Gregory Mankiw Department of Economics, Harvard University, Cambridge, MA, USA ImuchenjoyedreadingthesearticlesbySteveSchmidtandJonathanB.Wightonthenormativeunder- pinningsofhowweteachintroductoryeconomics.Ihavelongbelievedthatteachingthefundamentalsof economics to the next generation of voters is among the highest callings of our profession. It is therefore useful to regularly reflect on whether we are doing it well and how we might do it better. I agree with many of the substantive points raised in the articles, although I think that the current crop of textbooks (including my own) do a better job than Schmidt and Wight sometimes give them credit for. Rather than quibble with details, however, let me lay out five of the main lessons that I emphasize as Iteachthismaterial: (1) Efficiency is a useful lens through which to view outcomes. Understanding market success and market failure is a central feature of my course, especially in the microeconomics half. Adam Smith’s invisible hand is best understood as the proposition that the equilibrium of supply and demand maximizes the sum of producer and consumer surplus. The market failures that arise from externalities or monopoly power are best understood as the departure of the unregulated outcome from the surplus-maximizing allocation of resources. (2) Efficiency is not the only goal of policy.Whenintroducingthenotionofefficiency,Imakeclear that policymakers have other objectives as well. In chapter 1 of my text (Mankiw 2015, 12),I wrote, “Even when the invisible hand yields efficient outcomes, it can nonetheless leave sizable disparities in economic well-being. … The invisible hand does not ensure that everyone has suf- ficient food, decent clothing, and adequate healthcare. -
Extended Second Welfare Theorem for Nonconvex Economies With
Wayne State University Mathematics Research Reports Mathematics 6-1-2010 Extended Second Welfare Theorem for Nonconvex Economies with Infinite Commodities and Public Goods Aychiluhim Habte Benedict College, Columbia, SC, [email protected] Boris S. Mordukhovich Wayne State University, [email protected] Recommended Citation Habte, Aychiluhim and Mordukhovich, Boris S., "Extended Second Welfare Theorem for Nonconvex Economies with Infinite Commodities and Public Goods" (2010). Mathematics Research Reports. Paper 77. http://digitalcommons.wayne.edu/math_reports/77 This Technical Report is brought to you for free and open access by the Mathematics at DigitalCommons@WayneState. It has been accepted for inclusion in Mathematics Research Reports by an authorized administrator of DigitalCommons@WayneState. EXTENDED SECOND WELFARE THEOREM FOR NONCONVEX ECONOMIES WITH INFINITE COMMODITIES AND PUBLIC GOODS AYCHILUHIM HABTE and BORIS S. MORDUKHOVICH WAYNE STATE UNIVERSITY Detroit, Ml 48202 Department of Mathematics Research Report 2010 Series #6 This research was partly supported by the US National Science Foundation EXTENDED SECOND WELFARE THEOREM FOR NONCONVEX ECONOMIES WITH INFINITE COMMODITIES AND PUBLIC GOODS AYCHILUHIM HABTE1 and BORIS S. MORDUKHOVICH2 Abstract. Thi~ paper is devoted to the study of non convex models of welfare economics with public gooclH and infinite-dimensional commodity spaces. Our main attention i~ paid to new extensions of the fundamental second welfare theorem to the models under consideration. Based on advanced -
A Pure Theory of Aggregate Price Determination Masayuki Otaki
DBJ Discussion Paper Series, No.0906 A Pure Theory of Aggregate Price Determination Masayuki Otaki (Institute of Social Science, University of Tokyo) June 2010 Discussion Papers are a series of preliminary materials in their draft form. No quotations, reproductions or circulations should be made without the written consent of the authors in order to protect the tentative characters of these papers. Any opinions, findings, conclusions or recommendations expressed in these papers are those of the authors and do not reflect the views of the Institute. A Pure Theory of Aggregate Price Determinationy Masayuki Otaki Institute of Social Science, University of Tokyo 7-3-1 Hongo Bukyo-ku, Tokyo 113-0033, Japan. E-mail: [email protected] Phone: +81-3-5841-4952 Fax: +81-3-5841-4905 yThe author thanks Hirofumi Uzawa for his profound and fundamental lessons about “The General Theory of Employment, Interest and Money.” He is also very grateful to Masaharu Hanazaki for his constructive discussions. Abstract This article considers aggregate price determination related to the neutrality of money. When the true cost of living can be defined as the function of prices in the overlapping generations (OLG) model, the marginal cost of a firm solely depends on the current and future prices. Further, the sequence of equilibrium price becomes independent of the quantity of money. Hence, money becomes non-neutral. However, when people hold the extraneous be- lief that prices proportionately increase with money, the belief also becomes self-fulfilling so far as the increment of money and the true cost of living are low enough to guarantee full employment. -
Lecture Notes General Equilibrium Theory: Ss205
LECTURE NOTES GENERAL EQUILIBRIUM THEORY: SS205 FEDERICO ECHENIQUE CALTECH 1 2 Contents 0. Disclaimer 4 1. Preliminary definitions 5 1.1. Binary relations 5 1.2. Preferences in Euclidean space 5 2. Consumer Theory 6 2.1. Digression: upper hemi continuity 7 2.2. Properties of demand 7 3. Economies 8 3.1. Exchange economies 8 3.2. Economies with production 11 4. Welfare Theorems 13 4.1. First Welfare Theorem 13 4.2. Second Welfare Theorem 14 5. Scitovsky Contours and cost-benefit analysis 20 6. Excess demand functions 22 6.1. Notation 22 6.2. Aggregate excess demand in an exchange economy 22 6.3. Aggregate excess demand 25 7. Existence of competitive equilibria 26 7.1. The Negishi approach 28 8. Uniqueness 32 9. Representative Consumer 34 9.1. Samuelsonian Aggregation 37 9.2. Eisenberg's Theorem 39 10. Determinacy 39 GENERAL EQUILIBRIUM THEORY 3 10.1. Digression: Implicit Function Theorem 40 10.2. Regular and Critical Economies 41 10.3. Digression: Measure Zero Sets and Transversality 44 10.4. Genericity of regular economies 45 11. Observable Consequences of Competitive Equilibrium 46 11.1. Digression on Afriat's Theorem 46 11.2. Sonnenschein-Mantel-Debreu Theorem: Anything goes 47 11.3. Brown and Matzkin: Testable Restrictions On Competitve Equilibrium 48 12. The Core 49 12.1. Pareto Optimality, The Core and Walrasian Equiilbria 51 12.2. Debreu-Scarf Core Convergence Theorem 51 13. Partial equilibrium 58 13.1. Aggregate demand and welfare 60 13.2. Production 61 13.3. Public goods 62 13.4. Lindahl equilibrium 63 14. -
Values in Welfare Economics Antoinette Baujard
Values in Welfare economics Antoinette Baujard To cite this version: Antoinette Baujard. Values in Welfare economics. 2021. halshs-03244909 HAL Id: halshs-03244909 https://halshs.archives-ouvertes.fr/halshs-03244909 Preprint submitted on 1 Jun 2021 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. WP 2112 – June 2021 Values in Welfare economics Antoinette Baujard Abstract: This chapter focuses on the inner rationale and consequences of four different archetypal positions regarding how ethical and political values are tackled in welfare economics. Welfare economics is standardly associated with the welfarist framework, for which social welfare is based on individual utility only. Beyond this, we distinguish the value-neutrality claim – for which ethical values should be and are out of the scope of welfare economics –, the value confinement ideal – for which ethical values are acceptable if they are minimal and consensual–, the transparency requirement – for which any ethical values may be acceptable in the welfare economics framework if explicit and formalized –, and the entanglement claim – which challenges the very possibility of demarcation between facts and values. Keywords: Welfare economics, facts and values, value judgement, welfarism, transparency, demarcation, normative and positive, neutrality JEL codes: B41, D60, D63 Values in Welfare economics1 By Antoinette Baujard2 Abstract. -
Estimating Impact in Partial Vs. General Equilibrium: a Cautionary Tale from a Natural Experiment in Uganda∗
Estimating Impact in Partial vs. General Equilibrium: A Cautionary Tale from a Natural Experiment in Uganda∗ Jakob Svensson† David Yanagizawa-Drott‡ Preliminary. August 2012 Abstract This paper provides an example where sensible conclusions made in partial equilibrium are offset by general equilibrium effects. We study the impact of an intervention that distributed information on urban market prices of food crops through rural radio stations in Uganda. Using a differences-in-differences approach and a partial equilibrium assumption of unaffected urban market prices, the conclusion is the intervention lead to a substantial increase in average crop revenue for farmers with access to the radio broadcasts, due to higher farm-gate prices and a higher share of output sold to traders. This result is consistent with a simple model of the agricultural market, where a small-scale policy intervention affects the willingness to sell by reducing information frictions between farmers and rural-urban traders. However, as the radio broadcasts were received by millions of farmers, the intervention had an aggregate effect on urban market prices, thereby falsifying the partial equilibrium assumption and conclusion. Instead, and consistent with the model when the policy intervention is large-scale, market prices fell in response to the positive supply response by farmers with access to the broadcasts, while crop revenues for farmers without access decreased as they responded to the lower price level by decreasing market participation. When taking the general equilibrium effect on prices and farmers without access to the broadcasts into account, the conclusion is the intervention had no impact on average crop revenue, but large distributional consequences. -
Introduction
APPLIED GENERAL EQUILIBRIUM MODELS: AN ASSESSMENT OF THEIR USEFULNESS FOR POLICY ANALYSIS Antonio M. Borges CONTENTS Introduction . ..... .. 8 I. History and brief survey . ..... .. 9 II. Strengths and weaknesses of the general equilibrium approach .. 15 A. Strengths . .... .. 15 B. Weaknesses . .... .. 19 111. The "state of the art" - directions of current research .. .. 23 IV. Operational aspects and constraints . .... .. 26 Conclusion: Assessment of general equilibrium models for policy analysis ............................ .. 30 Bibliography ............................ .. 33 Antonio M. Borges is Professor of Economics at INSEAD; he has prepared this paper under contract with the OECD Economics and Statistics Department. 7 INTRODUCTION Applied general equilibrium modelling is nowadays one of the most active areas of research in economics. It has generated much interest among policy makers and policy analysts as a new methodology capable of providing coherent answers to complicated questions in a systematic way. The popularity and prestige of this fairly new approach in applied economics have occasionally led to exagerated optimism about its usefulness to handle any issue or answer any question. Applied general equilibrium models are a powerful and informative tool to deal with important practical policy issues; but they should be developed with great care and used with prudence. A careful and comprehensive model requires substantial resources, which certainly does not make it a fast and ready instrument to handle trivial problems. Its usefulness is unquestionable for certain types of issues, while dubious for others. Based on the Walrasian tradition, applied general equilibrium models describe the allocation of resources in a market economy as the result of the interaction of supply and demand, leading to equilibrium prices. -
Chapter 3 the Basic OLG Model: Diamond
Chapter 3 The basic OLG model: Diamond There exists two main analytical frameworks for analyzing the basic intertem- poral choice, consumption versus saving, and the dynamic implications of this choice: overlapping-generations (OLG) models and representative agent models. In the first type of models the focus is on (a) the interaction between different generations alive at the same time, and (b) the never-ending entrance of new generations and thereby new decision makers. In the second type of models the household sector is modelled as consisting of a finite number of infinitely-lived dynasties. One interpretation is that the parents take the utility of their descen- dants into account by leaving bequests and so on forward through a chain of intergenerational links. This approach, which is also called the Ramsey approach (after the British mathematician and economist Frank Ramsey, 1903-1930), will be described in Chapter 8 (discrete time) and Chapter 10 (continuous time). In the present chapter we introduce the OLG approach which has shown its usefulness for analysis of many issues such as: public debt, taxation of capital income, financing of social security (pensions), design of educational systems, non-neutrality of money, and the possibility of speculative bubbles. We will focus on what is known as Diamond’sOLG model1 after the American economist and Nobel Prize laureate Peter A. Diamond (1940-). Among the strengths of the model are: The life-cycle aspect of human behavior is taken into account. Although the • economy is infinitely-lived, the individual agents are not. During lifetime one’s educational level, working capacity, income, and needs change and this is reflected in the individual labor supply and saving behavior. -
Chapter 4 the Overlapping Generations (OG) Model
Chapter 4 The overlapping generations (OG) model 4.1 The model Now we will briefly discuss a macroeconomic model which has most of the important features of the RA model, but one - people die. This small con- cession to reality will have a big impact on implications. Recall that the RA model had a few special characteristics: 1. An unique equilibrium exists. 2. The economy follows a deterministic path. 3. The equilibrium is Pareto efficient. The overlapping generations model will not always have these characteristics. So my presentation of this model will have two basic goals: to outline a model that appears frequency in the literature, and to use the model to illustrate some features that appear in other models and that some macroeconomists think are important to understanding business cycles. 1 2 CHAPTER 4. THE OVERLAPPING GENERATIONS (OG) MODEL 4.1.1 The model Time, information, and demography Discrete, indexed by t. In each period, one worker is born. The worker lives two periods, so there is always one young worker and one old worker. We’re going to assume for the time being that workers have perfect foresight, so we’ll dispense with the Et’s. Workers Each worker is identified with the period of her birth - we’ll call the worker born in period t “worker t”. Let c1,t be worker t’s consumption when young, and let c2,t+1 be her consumption when old. She only cares about her own consumption. Her utility is: Ut = u(c1,t) + βu(c2,t+1) (4.1) The worker is born with no capital or bond holdings.