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Modern Coding Theory: the Statistical Mechanics and Computer Science Point of View
Modern Coding Theory: The Statistical Mechanics and Computer Science Point of View Andrea Montanari1 and R¨udiger Urbanke2 ∗ 1Stanford University, [email protected], 2EPFL, ruediger.urbanke@epfl.ch February 12, 2007 Abstract These are the notes for a set of lectures delivered by the two authors at the Les Houches Summer School on ‘Complex Systems’ in July 2006. They provide an introduction to the basic concepts in modern (probabilistic) coding theory, highlighting connections with statistical mechanics. We also stress common concepts with other disciplines dealing with similar problems that can be generically referred to as ‘large graphical models’. While most of the lectures are devoted to the classical channel coding problem over simple memoryless channels, we present a discussion of more complex channel models. We conclude with an overview of the main open challenges in the field. 1 Introduction and Outline The last few years have witnessed an impressive convergence of interests between disciplines which are a priori well separated: coding and information theory, statistical inference, statistical mechanics (in particular, mean field disordered systems), as well as theoretical computer science. The underlying reason for this convergence is the importance of probabilistic models and/or probabilistic techniques in each of these domains. This has long been obvious in information theory [53], statistical mechanics [10], and statistical inference [45]. In the last few years it has also become apparent in coding theory and theoretical computer science. In the first case, the invention of Turbo codes [7] and the re-invention arXiv:0704.2857v1 [cs.IT] 22 Apr 2007 of Low-Density Parity-Check (LDPC) codes [30, 28] has motivated the use of random constructions for coding information in robust/compact ways [50]. -
Political Economy in Macroeconomics I Allan Drazen
account libcralization as a signal of commitmcnt to economic reform. Wc also summarizc thc empirical rcscarch on political determinants of capital Political Economy in controls. Another major issue in open-economy macroeconomics is sovereign Macroeconomics debt, that is, the debt owed by a government to foreign creditors. hsucs of sovereign debt arc substantially different than those concerning nonsovereign debt and arc inherently political. For example, since it is oWed by the government, repayment decisions are not connectcd with any question of the ability to repay. With few exceptions, a borrower country has the technical ability to repay the debt, so that non-repayment is a ALLAN DRAZEN political issue. In Section 12.8, we analyze basic models of sovereign ,c,, borrowing and its repayment, especially the role of penalties in enforcing repayment. We also consider the importance of political versus nonpoliti cal penalties in the decision of whether to issue debt at home or abroad. Copyright © 2000 by Princeton University Press The final topic considered is foreign assistance, especially lending by Published by Princeton University Press, 41 William Street, governments and international financial organizations to developing coun Princeton, New Jersey 08540 tries for the purpose of structural adjustment. Our point of departure is In the United Kingdom: Princeton University Press, the strikingly disappointing results that foreign aid programs have had in Chichester, West Sussex alleviating poverty and stimulating growth in the recipient countries, a All Rights Resm;ed failure that we argue reflects the political nature of aid. Foreign assistance is inherently political for a number of reasons. First, the incentives of the donors may be political, not only in the obvious sense that aid is often given for strategic political reasons, but also because the nature of aid (and Library of Congress Cataloging-in-Publication Data especially its ineffectiveness) often reflects political and bureaucratic con flicts within the donor organizations. -
A WILPF Guide to Feminist Political Economy
A WILPF GUIDE TO FEMINIST POLITICAL ECONOMY Brief for WILPF members Table of Contents Advancing WILPF’s approach to peace . 2 Political economy as a tool . 4 A feminist twist to understanding political economy . 4 Feminist political economy in the context of neoliberal policies . 5 Gendered economy of investments . 7 Feminist political economy analysis - How does WILPF do it? . 9 What questions do we need to ask? . 10 Case study . 12 © 2018 Women’s International League for Peace and Freedom August 2018 A User Guide to Feminist Political Economy 2nd Edition 13 pp. Authors: Nela Porobic Isakovic Editors: Nela Porobic Isakovic, Nina Maria Hansen, Cover photo Madeleine Rees, Gorana Mlinarevic Brick wall painting of faces by Design: Nadia Joubert Oliver Cole (@oliver_photographer) www.wilpf.org on Unsplash.com 1 Advancing WILPF’s approach to peace HOW CAN FEMINIST UNDERSTANDING OF POLITICAL ECONOMY IN CONFLICT OR POST-CONFLICT CONTEXT HELP ADVANCE WILPF’S APPROACH TO PEACE? Political economy makes explicit linkages between political, economic and social factors. It is concerned with how politics can influence the economy. It looks at the access to, and distribution of wealth and power in order to understand why, by whom, and for whom certain decisions are taken, and how they affect societies – politically, economically and socially. It combines different sets of academic disciplines, most notably political science, economy and sociology, but also law, history and other disciplines. By using feminist political economy, WILPF seeks to understand the broader context of war and post-conflict recovery, and to deconstruct seemingly fixed and unchangeable economic, social, and political parameters. -
The Political Economy of Adjustment and Rebalancing
May 2014 The Political Economy of Adjustment and Rebalancing Jeffry Frieden Department of Government Harvard University This essay is based on an address to the JIMF-USC Conference on Financial Adjustment in the Aftermath of the Global Crisis, Los Angeles, April 18-19, 2014. The author thanks Joshua Aizenman, Lawrence Broz, Menzie Chinn, Dani Rodrik, Kenneth Rogoff, Francesco Trebbi, and Stefanie Walter for very helpful comments and suggestions. 2 The world’s recovery from the Global Financial Crisis (GFC) was extraordinarily slow and difficult. In the United States, it took some fifty months for employment to return to pre-crisis levels. This contrasts dramatically with the norm in American recessions: since the 1930s, employment has on average taken about ten months to return to pre-recession levels. 1 Output, similarly, regained its pre-crisis levels far more slowly than in other post-Depression recessions. And five years after the crisis began, median household income was still over 8 percent below its pre-crisis level. 2 Recovery in Europe was even slower and more difficult. The region fell into a second recession soon after the first one ended; unemployment soared in many countries, and has remained extremely high for a very long time. The painful recovery was due in part to the severity of the crisis itself. The Global Financial Crisis was, after all, the longest downturn since the 1940s, and the steepest 1 Employment reached pre-recession levels in May 2014. For previous experiences, see http://www.pewresearch.org/fact-tank/2013/09/25/at-42-months-and-counting-current- job-recovery-is-slowest-since-truman-was-president/ accessed May 16, 2014 2 http://www.pewresearch.org/fact-tank/2013/09/18/four-takeaways-from-tuesdays- census-income-and-poverty-release/ accessed May 16, 2014. -
The Allais Paradox: What It Became, What It Really Was, What It Now Suggests to Us
Economics and Philosophy (2019), 35, 423–459 doi:10.1017/S0266267118000469 ARTICLE The Allais paradox: what it became, what it really was, what it now suggests to us Philippe Mongin GREGHEC, 1 rue de la Libération, F-78350 Jouy-en-Josas, France Email: [email protected] (Received 11 June 2018; revised 24 August 2018; accepted 27 August 2018; first published online 30 January 2019) Abstract Whereas many others have scrutinized the Allais paradox from a theoretical angle, we study the paradox from an historical perspective and link our findings to a suggestion as to how decision theory could make use of it today. We emphasize that Allais proposed the paradox as anormativeargument, concerned with ‘the rational man’ and not the ‘real man’,touse his words. Moreover, and more subtly, we argue that Allais had an unusual sense of the normative, being concerned not so much with the rationality of choices as with the rationality of the agent as a person. These two claims are buttressed by a detailed investigation – the first of its kind – of the 1952 Paris conference on risk, which set the context for the invention of the paradox, and a detailed reconstruction – also the first of its kind – of Allais’s specific normative argument from his numerous but allusive writings. The paper contrasts these interpretations of what the paradox historically represented, with how it generally came to function within decision theory from the late 1970s onwards: that is, as an empirical refutation of the expected utility hypothesis, and more specifically of the condition of von Neumann–Morgenstern independence that underlies that hypothesis. -
Maurice Allais on Equilibrium and Capital in Some of His 1940S Writings
QUADERNI DEL DIPARTIMENTO DI ECONOMIA POLITICA E STATISTICA Ariel Dvoskin Maurice Allais on Equilibrium and Capital in some of his 1940s Writings n. 690 – Dicembre 2013 Abstract - The article discusses M. Allais’ contributions on equilibrium and capital during the 1940s. While in his Traité (1943) Allais formalizes for the first time an intertemporal general equilibrium (IGE) in a finite- horizon economy, he subsequently abandons this notion, and in the Économie (1947) resumes, instead, the more traditional method based on the notion of stationary equilibrium. The article argues: i) that Allais’ reasons to leave the IGE framework behind, of which the most important turn round his misgivings about the sufficiently correct foresight entailed by that notion, and that reflect the impossibility to establish a correspondence between observations and theory by means of the IGE method, are well-justified; ii) that his shift to the method based on the notion of stationary equilibrium to connect the results of neoclassical theory with observations cannot be accepted, since a notion of stationary equilibrium that would make this correspondence possible must face an insurmountable difficulty in the treatment of the factor capital. Keywords: Allais, Intertemporal Equilibrium, Stationary Equilibrium, Perfect Foresight, Centre of Gravitation JelClassification: B21-B30- B41-D50-D24 The author is grateful to professors F. Petri, A. Béraud and S. Fratini for their very helpful comments to previous drafts of this article. Thanks are also due to N. Semboloni of the library of the Faculty of Economics, University of Siena. The usual disclaimers apply. Ariel Dvoskin, University of Siena (Italy) and University of Buenos Aires (Argentina). -
Cesifo Working Paper No. 9141
A Service of Leibniz-Informationszentrum econstor Wirtschaft Leibniz Information Centre Make Your Publications Visible. zbw for Economics Pakhnin, Mikhail Working Paper Collective Choice with Heterogeneous Time Preferences CESifo Working Paper, No. 9141 Provided in Cooperation with: Ifo Institute – Leibniz Institute for Economic Research at the University of Munich Suggested Citation: Pakhnin, Mikhail (2021) : Collective Choice with Heterogeneous Time Preferences, CESifo Working Paper, No. 9141, Center for Economic Studies and Ifo Institute (CESifo), Munich This Version is available at: http://hdl.handle.net/10419/236683 Standard-Nutzungsbedingungen: Terms of use: Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Documents in EconStor may be saved and copied for your Zwecken und zum Privatgebrauch gespeichert und kopiert werden. personal and scholarly purposes. Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle You are not to copy documents for public or commercial Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich purposes, to exhibit the documents publicly, to make them machen, vertreiben oder anderweitig nutzen. publicly available on the internet, or to distribute or otherwise use the documents in public. Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, If the documents have been made available under an Open gelten abweichend von diesen Nutzungsbedingungen die in der dort Content Licence (especially Creative Commons Licences), you genannten Lizenz gewährten Nutzungsrechte. may exercise further usage rights as specified in the indicated licence. www.econstor.eu 9141 2021 June 2021 Collective Choice with Hetero- geneous Time Preferences Mikhail Pakhnin Impressum: CESifo Working Papers ISSN 2364-1428 (electronic version) Publisher and distributor: Munich Society for the Promotion of Economic Research - CESifo GmbH The international platform of Ludwigs-Maximilians University’s Center for Economic Studies and the ifo Institute Poschingerstr. -
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. -
Law-And-Political-Economy Framework: Beyond the Twentieth-Century Synthesis Abstract
JEDEDIAH BRITTON- PURDY, DAVID SINGH GREWAL, AMY KAPCZYNSKI & K. SABEEL RAHMAN Building a Law-and-Political-Economy Framework: Beyond the Twentieth-Century Synthesis abstract. We live in a time of interrelated crises. Economic inequality and precarity, and crises of democracy, climate change, and more raise significant challenges for legal scholarship and thought. “Neoliberal” premises undergird many fields of law and have helped authorize policies and practices that reaffirm the inequities of the current era. In particular, market efficiency, neu- trality, and formal equality have rendered key kinds of power invisible, and generated a skepticism of democratic politics. The result of these presumptions is what we call the “Twentieth-Century Synthesis”: a pervasive view of law that encases “the market” from claims of justice and conceals it from analyses of power. This Feature offers a framework for identifying and critiquing the Twentieth-Century Syn- thesis. This is also a framework for a new “law-and-political-economy approach” to legal scholar- ship. We hope to help amplify and catalyze scholarship and pedagogy that place themes of power, equality, and democracy at the center of legal scholarship. authors. The authors are, respectively, William S. Beinecke Professor of Law at Columbia Law School; Professor of Law at Berkeley Law School; Professor of Law at Yale Law School; and Associate Professor of Law at Brooklyn Law School and President, Demos. They are cofounders of the Law & Political Economy Project. The authors thank Anne Alstott, Jack Balkin, Jessica Bulman- Pozen, Corinne Blalock, Angela Harris, Luke Herrine, Doug Kysar, Zach Liscow, Daniel Markovits, Bill Novak, Frank Pasquale, Robert Post, David Pozen, Aziz Rana, Kate Redburn, Reva Siegel, Talha Syed, John Witt, and the participants of the January 2019 Law and Political Economy Work- shop at Yale Law School for their comments on drafts at many stages of the project. -
Modern Coding Theory: the Statistical Mechanics and Computer Science Point of View
Modern Coding Theory: The Statistical Mechanics and Computer Science Point of View Andrea Montanari1 and R¨udiger Urbanke2 ∗ 1Stanford University, [email protected], 2EPFL, ruediger.urbanke@epfl.ch February 12, 2007 Abstract These are the notes for a set of lectures delivered by the two authors at the Les Houches Summer School on ‘Complex Systems’ in July 2006. They provide an introduction to the basic concepts in modern (probabilistic) coding theory, highlighting connections with statistical mechanics. We also stress common concepts with other disciplines dealing with similar problems that can be generically referred to as ‘large graphical models’. While most of the lectures are devoted to the classical channel coding problem over simple memoryless channels, we present a discussion of more complex channel models. We conclude with an overview of the main open challenges in the field. 1 Introduction and Outline The last few years have witnessed an impressive convergence of interests between disciplines which are a priori well separated: coding and information theory, statistical inference, statistical mechanics (in particular, mean field disordered systems), as well as theoretical computer science. The underlying reason for this convergence is the importance of probabilistic models and/or probabilistic techniques in each of these domains. This has long been obvious in information theory [53], statistical mechanics [10], and statistical inference [45]. In the last few years it has also become apparent in coding theory and theoretical computer science. In the first case, the invention of Turbo codes [7] and the re-invention of Low-Density Parity-Check (LDPC) codes [30, 28] has motivated the use of random constructions for coding information in robust/compact ways [50]. -
Report on H. Allais' Scientific Work
REPORT ON H. ALLAIS' SCIENTIFIC WORK * by Jean-Michel Grandmont Juin 1988 N° 8819 * CNRS and CEPREMAP, 142, rue du Chevaleret, 75013 Paris, France. REPORT ON H. ALLAIS' SCIENTIFIC tlORK ABSTRACT The report reviews brfefly the main scientific contributions in economics of Maurice ALLAIS, with specific emphasis on theory. KeYWords Maurice ALLAIS, equilibrium, welfare, uncertainty JEL code 020, 131 - - - - -- - -- - -- - - - -- - RAPPORT SUR L 'OEUVRE SCIENTIFIQUE DE H. ALLAIS RESUHE Le rapport évalue brièvement les principales contributions scientifiques en économie de Maurice ALLAIS, en portant l'accent sur la théorie. Mots clés Maurice ALLAIS, équilibre, bien-être, incertitude Code JEL 020, 131 REPORT ON H. ALLAIS' SCIENTIFIC tlORK J.M. Grandmont, June 1988 Maurice ALLAIS is without any doubt one of the most outstanding economists of his generation. He has had in particular a decisive direct and indirect influence from 1945 onward, on the development of economic research in France, and its subsequent opening to the international scientific community. Being initially an engineer himself, he has been teaching economics at the Ecole des Mines in Paris until the seventies, and managed to attract around him after World War II a brilliant cadre of young economists or gradua tes, such as Marcel BOITEUX, Gérard DEBREU, Jacques LESOURNE, Edmond MALINVAUD, André NATAF ••• The impact of Maurice ALLAIS on the state of our di sc ip l ine in France and at ·the international leve 1, has been indeed trèmendous, not only through his own great scientific achievements but also those of his students or disciples. 1. An anecdote circulates among French economists, claiming that the respective careers of two students of ALLAIS, i.e. -
Three Essays in Mechanism Design
THREE ESSAYS IN MECHANISM DESIGN Andrei Rachkov A DISSERTATION PRESENTED TO THE FACULTY OF PRINCETON UNIVERSITY IN CANDIDACY FOR THE DEGREE OF DOCTOR OF PHILOSOPHY RECOMMENDED FOR ACCEPTANCE BY THE DEPARTMENT OF ECONOMICS Adviser: Stephen Morris January 2013 c Copyright by Andrei Rachkov, 2012. All rights reserved. iii Abstract In the first and second chapters we study whether the current trend of using stronger solution concepts is justified for the optimal mechanism design. In the first chapter, we take a simple auction model and allow for type-dependent outside options. We argue that Bayesian foundation for dominant strategy mechanisms is valid when symmetry conditions are satisfied. This contrasts with monotonicity constraints used before in the literature. In the second chapter we develop the idea further by looking into the practical application of type-dependency of outside options in auctions - namely, a possibility of collusion between agents. We show that in this environment for a certain range of primitives no maxmin foundation for dominant strategy mechanisms will exist. Finally, in the last chapter we study a voting environment and non-transferable utility mechanism design. We argue that strategic voting as opposed to truthful voting may lead to higher total welfare through better realization of preference intensities in the risky environment. We also study optimal mechanisms rules, that are sufficiently close to the first best for the uniform distribution, and argue that strategic voting may be a proxy for information transmission if the opportunities to communicate preference intensities are scarce. iv Acknowledgments To my mother who imbued me with a strong sense of fairness and my father who taught me to always strive for the ideal.