The Rationality of Preference Construction (And the Irrationality of Rational Choice)
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Best Experienced Payoff Dynamics and Cooperation in the Centipede Game
Theoretical Economics 14 (2019), 1347–1385 1555-7561/20191347 Best experienced payoff dynamics and cooperation in the centipede game William H. Sandholm Department of Economics, University of Wisconsin Segismundo S. Izquierdo BioEcoUva, Department of Industrial Organization, Universidad de Valladolid Luis R. Izquierdo Department of Civil Engineering, Universidad de Burgos We study population game dynamics under which each revising agent tests each of his strategies a fixed number of times, with each play of each strategy being against a newly drawn opponent, and chooses the strategy whose total payoff was highest. In the centipede game, these best experienced payoff dynamics lead to co- operative play. When strategies are tested once, play at the almost globally stable state is concentrated on the last few nodes of the game, with the proportions of agents playing each strategy being largely independent of the length of the game. Testing strategies many times leads to cyclical play. Keywords. Evolutionary game theory, backward induction, centipede game, computational algebra. JEL classification. C72, C73. 1. Introduction The discrepancy between the conclusions of backward induction reasoning and ob- served behavior in certain canonical extensive form games is a basic puzzle of game the- ory. The centipede game (Rosenthal (1981)), the finitely repeated prisoner’s dilemma, and related examples can be viewed as models of relationships in which each partic- ipant has repeated opportunities to take costly actions that benefit his partner and in which there is a commonly known date at which the interaction will end. Experimen- tal and anecdotal evidence suggests that cooperative behavior may persist until close to William H. -
Uniqueness and Symmetry in Bargaining Theories of Justice
Philos Stud DOI 10.1007/s11098-013-0121-y Uniqueness and symmetry in bargaining theories of justice John Thrasher Ó Springer Science+Business Media Dordrecht 2013 Abstract For contractarians, justice is the result of a rational bargain. The goal is to show that the rules of justice are consistent with rationality. The two most important bargaining theories of justice are David Gauthier’s and those that use the Nash’s bargaining solution. I argue that both of these approaches are fatally undermined by their reliance on a symmetry condition. Symmetry is a substantive constraint, not an implication of rationality. I argue that using symmetry to generate uniqueness undermines the goal of bargaining theories of justice. Keywords David Gauthier Á John Nash Á John Harsanyi Á Thomas Schelling Á Bargaining Á Symmetry Throughout the last century and into this one, many philosophers modeled justice as a bargaining problem between rational agents. Even those who did not explicitly use a bargaining problem as their model, most notably Rawls, incorporated many of the concepts and techniques from bargaining theories into their understanding of what a theory of justice should look like. This allowed them to use the powerful tools of game theory to justify their various theories of distributive justice. The debates between partisans of different theories of distributive justice has tended to be over the respective benefits of each particular bargaining solution and whether or not the solution to the bargaining problem matches our pre-theoretical intuitions about justice. There is, however, a more serious problem that has effectively been ignored since economists originally J. -
SEF Working Paper: 11/2012 April 2012
SEF Working paper: 11/2012 April 2012 Behavioural economics perspectives: Implications for policy and financial literacy Morris Altman The Working Paper series is published by the School of Economics and Finance to provide staff and research students the opportunity to expose their research to a wider audience. The opinions and views expressed in these papers are not necessarily reflective of views held by the school. Comments and feedback from readers would be welcomed by the author(s). Enquiries to: The Administrator School of Economics and Finance Victoria University of Wellington P O Box 600 Wellington 6140 New Zealand Phone: +64 4 463 5353 Email: [email protected] Working Paper 11/2012 ISSN 2230-259X (Print) ISSN 2230-2603 (Online) Behavioural Economics Perspectives: Implications for Policy and Financial Literacy* Morris Altman Professor of Behavioural and Institutional Economics Head, School of Economics & Finance Victoria University of Wellington Editor, Journal of Socio-Economics (Elsevier Science) Email: [email protected] Homepage: http://www.victoria.ac.nz/sef/about/staff/morris-altman Amazon page: http://www.amazon.com/Morris-Altman/e/B001H6N3V4 Keywords: Financial literacy, behavioral economics, imperfect information, heuristics, trust, nudging, decision-making environment JEL Codes: A11, B26, B41, D00, D14, D62, D8, H4, K4 *Originally appears as a Research paper prepared for the Task Force on Financial Literacy (Canada): http://publications.gc.ca/collections/collection_2011/fin/F2-202-2011-eng.pdf 1 Behavioural Economics Perspectives: Implications for Policy and Financial Literacy* Morris Altman Executive Summary This paper summarizes and highlights different approaches to behavioural economics. It includes a discussion of the differences between the “old” behavioural economics school, led by scholars like Herbert Simon, and the “new” behavioural economics, which builds on the work of Daniel Kahneman and Amos Tversky and is best exemplified by Richard Thaler and Cass Sunstein’s recent book, Nudge. -
The Evolutionary Biology of Decision Making
University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Faculty Publications, Department of Psychology Psychology, Department of 2008 The Evolutionary Biology of Decision Making Jeffrey R. Stevens University of Nebraska-Lincoln, [email protected] Follow this and additional works at: https://digitalcommons.unl.edu/psychfacpub Part of the Psychiatry and Psychology Commons Stevens, Jeffrey R., "The Evolutionary Biology of Decision Making" (2008). Faculty Publications, Department of Psychology. 523. https://digitalcommons.unl.edu/psychfacpub/523 This Article is brought to you for free and open access by the Psychology, Department of at DigitalCommons@University of Nebraska - Lincoln. It has been accepted for inclusion in Faculty Publications, Department of Psychology by an authorized administrator of DigitalCommons@University of Nebraska - Lincoln. Published in BETTER THAN CONSCIOUS? DECISION MAKING, THE HUMAN MIND, AND IMPLICATIONS FOR INSTITUTIONS, ed. Christoph Engel and Wolf Singer (Cambridge, MA: The MIT Press, 2008), pp. 285-304. Copyright 2008 Massachusetts Institute of Technology & the Frankfurt Institute for Advanced Studies. Used by permission. 13 The Evolutionary Biology of Decision Making Jeffrey R. Stevens Center for Adaptive Behavior and Cognition, Max Planck Institute for Human Development, 14195 Berlin, Germany Abstract Evolutionary and psychological approaches to decision making remain largely separate endeavors. Each offers necessary techniques and perspectives which, when integrated, will aid the study of decision making in both humans and nonhuman animals. The evolutionary focus on selection pressures highlights the goals of decisions and the con ditions under which different selection processes likely influence decision making. An evolutionary view also suggests that fully rational decision processes do not likely exist in nature. -
Comparative Statics and Perfect Foresight in Infinite Horizon Economies
Digitized by the Internet Archive in 2011 with funding from Boston Library Consortium IVIember Libraries http://www.archive.org/details/comparativestatiOOkeho working paper department of economics Comparative Statics And Perfect Foresight in Infinite Horizon Economies Timothy J. Kehoe David K. Levine* Number 312 December 1982 massachusetts institute of technology 50 memorial drive Cambridge, mass. 02139 Comparative Statics And Perfect Foresight in Infinite Horizon Economies Timothy J. Kehoe David K. Levine* Number 312 December 1982 Department of Economics, M.I.T. and Department of Economics, U.C.L.A., respectively. Abstract This paper considers whether infinite horizon economies have determinate perfect foresight equilibria. ¥e consider stationary pure exchange economies with both finite and infinite numbers of agents. When there is a finite number of infinitely lived agents, we argue that equilibria are generically determinate. This is because the number of equations determining the equilibria is not infinite, but is equal to the number of agents minus one and must determine the marginal utility of income for all but one agent. In an overlapping generations model with infinitely many finitely lived agents, this reasoning breaks down. ¥e ask whether the initial conditions together with the requirement of convergence to a steady state locally determine an equilibrium price path. In this framework there are many economies with isolated equilibria, many with continue of equilibria, and many with no equilibria at all. With two or more goods in every period not only can the price level be indeterminate but relative prices as well. Furthermore, such indeterminacy can occur whether or not there is fiat money in the economy. -
Satisficing Consequentialism Author(S): Michael Slote and Philip Pettit Source: Proceedings of the Aristotelian Society, Supplementary Volumes, Vol
Satisficing Consequentialism Author(s): Michael Slote and Philip Pettit Source: Proceedings of the Aristotelian Society, Supplementary Volumes, Vol. 58 (1984), pp. 139-163+165-176 Published by: Blackwell Publishing on behalf of The Aristotelian Society Stable URL: http://www.jstor.org/stable/4106846 Accessed: 15/10/2008 09:26 Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/page/info/about/policies/terms.jsp. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, non-commercial use. Please contact the publisher regarding any further use of this work. Publisher contact information may be obtained at http://www.jstor.org/action/showPublisher?publisherCode=black. Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printed page of such transmission. JSTOR is a not-for-profit organization founded in 1995 to build trusted digital archives for scholarship. We work with the scholarly community to preserve their work and the materials they rely upon, and to build a common research platform that promotes the discovery and use of these resources. For more information about JSTOR, please contact [email protected]. The Aristotelian Society and Blackwell Publishing are collaborating with JSTOR to digitize, preserve and extend access to Proceedings of the Aristotelian Society, Supplementary Volumes. -
Kahneman's Thinking, Fast and Slow from the Standpoint of Old
Kahneman’s Thinking, Fast and Slow from the Standpoint of Old Behavioural Economics (For the 2012 HETSA Conference) Peter E. Earl School of Economics, University of Queensland, St Lucia, Brisbane, QLD 4072, Australia, email: [email protected] Abstract Daniel Kahneman’s bestseller Thinking, Fast and Slow presents an account of his life’s work on judgment and decision-making (much of it conducted with Amos Tversky) that has been instrumental in the rise of what Sent (2004) calls ‘new behavioural economics’. This paper examines the relationship between Kahneman’s work and some key contributions within the ‘old behavioural’ literature that Kahneman fails to discuss. It show how closely aligned he is to economic orthodoxy, examining his selective use of Herbert Simon’s work in relation to his ‘two systems’ view of decision making and showing how Shackle’s model of choice under uncertainty provided an alternative way of dealing with some of the issues that Kahneman and Tversky sought to address, three decades after Shackle worked out his model, via their Prospect Theory. Aside from not including ‘loss aversion’, it was Shackle’s model that was the more original and philosophically well-founded. Keywords: Prospect Theory, satisficing, bounded rationality, choice under uncertainty JEL Classification Codes: B31, D03, D81 1. Introduction In his highly successful 2011 book Thinking, Fast and Slow Daniel Kahneman offers an excellent account of his career-long research on judgment and decision- making, much of it conducted with the late Amos Tversky. Kahneman was awarded the 2002 Bank of Sweden PriZe in Economic Sciences in Memory of Alfred Nobel for this work. -
Introduction to Game Theory
Economic game theory: a learner centred introduction Author: Dr Peter Kührt Introduction to game theory Game theory is now an integral part of business and politics, showing how decisively it has shaped modern notions of strategy. Consultants use it for projects; managers swot up on it to make smarter decisions. The crucial aim of mathematical game theory is to characterise and establish rational deci- sions for conflict and cooperation situations. The problem with it is that none of the actors know the plans of the other “players” or how they will make the appropriate decisions. This makes it unclear for each player to know how their own specific decisions will impact on the plan of action (strategy). However, you can think about the situation from the perspective of the other players to build an expectation of what they are going to do. Game theory therefore makes it possible to illustrate social conflict situations, which are called “games” in game theory, and solve them mathematically on the basis of probabilities. It is assumed that all participants behave “rationally”. Then you can assign a value and a probability to each decision option, which ultimately allows a computational solution in terms of “benefit or profit optimisation”. However, people are not always strictly rational because seemingly “irrational” results also play a big role for them, e.g. gain in prestige, loss of face, traditions, preference for certain colours, etc. However, these “irrational" goals can also be measured with useful values so that “restricted rational behaviour” can result in computational results, even with these kinds of models. -
Daniel Kahneman Curriculum Vitae August 2016
Daniel Kahneman Curriculum Vitae August 2016 Born: 1934, Tel Aviv, Israel Citizenship: US, Israel Education Ph.D. University of California, Berkeley, 1961 (Psychology) B.A. The Hebrew University, Jerusalem, 1954, (Psychology and Mathematics) Professional Positions Held 2007- Professor of Psychology and Public Affairs, Emeritus, Woodrow Wilson School, Princeton University 2007- Eugene Higgins Professor of Psychology, Emeritus, Princeton University 2000- Fellow, Center for Rationality, Hebrew University, Jerusalem 1993-2007 Eugene Higgins Professor of Psychology, Princeton University 1993-2007 Professor of Psychology and Public Affairs, Woodrow Wilson School, Princeton University 1991-1992 Visiting Scholar, Russell Sage Foundation 1986-1994 Professor of Psychology, University of California, Berkeley 1984-1986 Associate Fellow, Canadian Institute for Advanced Research 1978-1986 Professor of Psychology, The University of British Columbia 1977-1978 Fellow, Center for Advanced Studies in the Behavioral Sciences 1968-1969 Visiting Scientist (summers), Applied Psychological Research Unit, Cambridge, England 1966-1967 Fellow, Center for Cognitive Studies; Lecturer in Psychology, Harvard University 1965-1966 Visiting Scientist, Department of Psychology, University of Michigan 1961-1978 Lecturer to Professor, The Hebrew University, Jerusalem, Israel LINKS TO RECENT LECTURES Video and Audio Links “Interview with Leif Nelson,” The Society for Judgment and Decision Making, November 2015. “Thinking That We Know”, Sackler Colloquium to the National Academy -
511795 Chicago LR 73#3.Ps
Judges as Rulemakers Emily Sherwin† In Do Cases Make Bad Law?, Frederick Schauer raises some se- rious questions about the process of judicial lawmaking.1 Schauer takes issue with the widely held assumption that judge-made law benefits from the court’s focus on a particular real-world dispute.2 Writing with characteristic eloquence, Schauer argues that the need to resolve a concrete dispute does not enhance the ability of judges to craft sound rules, but instead generates cognitive biases that distort judicial development of legal rules. Schauer’s observations about the risks of rulemaking in an adju- dicatory setting are very persuasive. Yet his overall assessment of the common law process may be too severe. In this Essay, I shall suggest that common law decisionmaking, at least in its more traditional forms, has features that can counteract the biases that worry Schauer and provide at least some protection from the errors his theory pre- dicts. Specifically, the common judicial practices of consulting prece- dent decisions and seeking analogies in the facts of prior cases broaden the perspective of judges and allow them to better assess the consequences of proposed rules. This is so even if following precedent and reasoning by analogy are not otherwise defensible. I. SCHAUER’S CASE AGAINST COMMON LAW RULEMAKING Schauer begins with the premise that judges do in fact make law.3 Prior to the twentieth century, jurists often characterized their task as discovery of rules embedded in legal tradition and common practice.4 †Professor of Law, Cornell Law School. 1 See generally Frederick Schauer, Do Cases Make Bad Law?, 73 U Chi L Rev 883 (2006). -
Study of the Evolution of Symbiosis at the Metabolic Level Using Models from Game Theory and Economics Martin Wannagat
Study of the evolution of symbiosis at the metabolic level using models from game theory and economics Martin Wannagat To cite this version: Martin Wannagat. Study of the evolution of symbiosis at the metabolic level using models from game theory and economics. Quantitative Methods [q-bio.QM]. Université de Lyon, 2016. English. NNT : 2016LYSE1094. tel-01394107v2 HAL Id: tel-01394107 https://hal.inria.fr/tel-01394107v2 Submitted on 22 Nov 2016 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. No d’ordre NNT : xxx THÈSE DE DOCTORAT DE L’UNIVERSITÉ DE LYON opérée au sein de l’Université Claude Bernard Lyon 1 École Doctorale ED01 E2M2 Spécialité de doctorat : Bioinformatique Soutenue publiquement/à huis clos le 04/07/2016, par : Martin Wannagat Study of the evolution of symbiosis at the metabolic level using models from game theory and economics Devant le jury composé de : Nom Prénom, grade/qualité, établissement/entreprise Président(e) Bockmayr Alexander, Prof. Dr., Freie Universität Berlin Rapporteur Jourdan Fabien, CR1, INRA Toulouse Rapporteur Neves Ana Rute, Dr., Chr. Hansen A/S Rapporteure Charles Hubert, Prof., INSA Lyon Examinateur Andrade Ricardo, Dr., INRIA Rhône-Alpes Examinateur Sagot Marie-France, DR, LBBE, INRIA Rhône-Alpes Directrice de thèse Stougie Leen, Prof., Vrije Universiteit, CWI Amsterdam Co-directeur de thèse Marchetti-Spaccamela Alberto, Prof., Sapienza Univ. -
Efficient Algorithms for Computing Approximate Equilibria in Bimatrix
Efficient Algorithms for Computing Approximate Equilibria in Bimatrix, Polymatrix and Lipschitz Games Thesis submitted in accordance with the requirements of the University of Liverpool for the degree of Doctor in Philosophy by Argyrios Deligkas July 2016 Abstract In this thesis, we study the problem of computing approximate equilibria in sev- eral classes of games. In particular, we study approximate Nash equilibria and approximate well-supported Nash equilibria in polymatrix and bimatrix games and approximate equilibria in Lipschitz games, penalty games and biased games. We construct algorithms for computing approximate equilibria that beat the cur- rent best algorithms for these problems. In Chapter 3, we present a distributed method to compute approximate Nash equilibria in bimatrix games. In contrast to previous approaches that analyze the two payoff matrices at the same time (for example, by solving a single LP that combines the two players' payoffs), our algorithm first solves two independent LPs, each of which is derived from one of the two payoff matrices, and then computes an approximate Nash equilibrium using only limited communication between the players. In Chapter 4, we present an algorithm that, for every δ in the range 0 < δ ≤ 0:5, finds a (0:5+δ)-Nash equilibrium of a polymatrix game in time polynomial in 1 the input size and δ . Note that our approximation guarantee does not depend on the number of players, a property that was not previously known to be achievable for polymatrix games, and still cannot be achieved for general strategic-form games. In Chapter 5, we present an approximation-preserving reduction from the problem of computing an approximate Bayesian Nash equilibrium (-BNE) for a two-player Bayesian game to the problem of computing an -NE of a polymatrix game and thus show that the algorithm of Chapter 4 can be applied to two-player Bayesian games.