3 Rational-Choice Theory
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Journal of Risk and Financial Management Article The Standard Model of Rational Risky Decision-Making Kazem Falahati Glasgow School for Business and Society, Glasgow Caledonian University, 70 Cowcaddens Road, Glasgow G4 0BA, UK; [email protected]; Tel.: +44-141-331-3708 Abstract: Expected utility theory (EUT) is currently the standard framework which formally defines rational decision-making under risky conditions. EUT uses a theoretical device called von Neumann– Morgenstern utility function, where concepts of function and random variable are employed in their pre-set-theoretic senses. Any von Neumann–Morgenstern utility function thus derived is claimed to transform a non-degenerate random variable into its certainty equivalent. However, there can be no certainty equivalent for a non-degenerate random variable by the set-theoretic definition of a random variable, whilst the continuity axiom of EUT implies the existence of such a certainty equivalent. This paper also demonstrates that rational behaviour under utility theory is incompatible with scarcity of resources, making behaviour consistent with EUT irrational and justifying persistent external inconsistencies of EUT. A brief description of a new paradigm which can resolve the problems of the standard paradigm is presented. These include resolutions of such anomalies as instant endowment effect, asymmetric valuation of gains and losses, intransitivity of preferences, profit puzzle as well as the St. Petersburg paradox. Keywords: decision-making; rationality; risk; expected utility; behavioural puzzles MSC Codes: 62Cxx; 90B50; 91A26; 91B02; 91B06; 91B16; 91B30 Citation: Falahati, Kazem. 2021. The JEL Codes: C00; D01; D81 Standard Model of Rational Risky Decision-Making. Journal of Risk and Financial Management 14: 158. -
Updating Rules for Non-Bayesian Preferences
Updating Rules for Non-Bayesian Preferences. Tan Wang∗ December, 1999 Abstract We axiomatize updating rules for preferences that are not necessarily in the expected utility class. Two sets of results are presented. The first is the axiomatization and representation of conditional preferences. The second consists of the axiomatization of three updating rules: the traditional Bayesian rule, the Dempster-Shafer rule, and the generalized Bayesian rule. The last rule can be regarded as the updating rule for the multi-prior expected utility (Gilboa and Schmeidler (1989)). The operational merit of it is that it is equivalent to updating each prior by the traditional Bayesian rule. ∗Tan Wang is with the Faculty of Commerce and Business Administration, University of British Columbia, Van- couver, British Columbia, Canada, V6T 1Z2. [email protected]. The author is grateful to the Social Sciences and Humanities Research Council of Canada for financial support. 1 Introduction The traditional approach to updating is the Bayesian rule. This approach is justified by the ax- iomatic treatment of Savage (1954), where it is shown that, in situations of uncertainty, if a decision maker’s preference satisfies a certain set of axioms, his preference can be represented by an expected utility with respect to a subjective probability measure and that probability measure represents the decision maker’s belief about the likelihood of events. Moreover, in light of new information, the decision maker updates his belief according the Bayesian rule. This Savage paradigm has been the foundation of much of the economic theories under uncertainty. At the same time, however, the Savage paradigm has been challenged by behavior exhibited in Ellsberg paradox (Ellsberg (1961)), which seems to question the very notion of representing a decision maker’s belief by a probability measure and hence by implication the validity of the Bayesian rule. -
Economics 142: Choice Under Uncertainty (Or Certainty) Winter 2008 Vincent Crawford (With Very Large Debts to Matthew Rabin and Especially Botond Koszegi)
Economics 142: Choice under Uncertainty (or Certainty) Winter 2008 Vincent Crawford (with very large debts to Matthew Rabin and especially Botond Koszegi) Background: Classical theory of choice under certainty Rational choice (complete, transitive, and continuous preferences) over certain outcomes and representation of preferences via maximization of an ordinal utility function of outcomes. The individual makes choices “as if” to maximize the utility function; utility maximization is just a compact, tractable way for us to describe the individual’s choices in various settings. We can view the utility function as a compact way of storing intuition about behavior from simple experiments or though-experiments and transporting it to new situations. The preferences represented can be anything—self-interested or not, increasing in intuitive directions (more income or consumption) or not—although there are strong conventions in mainstream economics about what they are normally defined over—own income or consumption rather than both own and others’, levels of final outcomes rather than changes. Thus if you think the mainstream approach is narrow or wrong-headed, it may make as much or more sense to complain about those conventions than about the idea of rationality per se. Background: Classical “expected utility” theory of choice under uncertainty This is the standard way to describe people’s preferences over uncertain outcomes. The Marschak reading on the reading list, linked on the course page, is a readable introduction. The basic idea is that -
Rational Choice, Deterrence, and Identity: Modeling Life Course Transitions and Desistance
The author(s) shown below used Federal funding provided by the U.S. Department of Justice to prepare the following resource: Document Title: Rational Choice, Deterrence, and Identity: Modeling Life Course Transitions and Desistance Author(s): Ross L. Matsueda Document Number: 251546 Date Received: February 2018 Award Number: 2014-R2-CX-0018 This resource has not been published by the U.S. Department of Justice. This resource is being made publically available through the Office of Justice Programs’ National Criminal Justice Reference Service. Opinions or points of view expressed are those of the author(s) and do not necessarily reflect the official position or policies of the U.S. Department of Justice. NIJ GRANT: FINAL SUMMARY OVERVIEW NIJ Grant #2014-R2-CX-0018 Project Title: Rational Choice, Deterrence, and Identity: Modeling Life Course Transitions and Desistance Project Period: January 1, 2015 to December 31, 2017 Principal Investigator: Ross L. Matsueda Project Purpose and Goals Using longitudinal survey data, we specify models of life course transitions, offender decision-making, and crime, to answer four research questions: (1) Under what conditions do high-risk young adults undergo life course transitions, such as high school graduation, transitioning to work, becoming a parent, cohabiting, and marrying? (2) Do the effects of life course transitions constitute turning points in criminal careers, and if so, under what social conditions? (3) What are the causal mechanisms—changing peers and gangs, changing perceived costs and returns to crime, changing perceived opportunities, or changing criminal identities—that explain why life course transitions affect desistance. (4) Can we identify, from our empirical models, the specific conditions under which a treatment intervention is likely to succeed? Aspects of the theoretical framework we adopt for this project were published in two Encyclopedia articles. -
A Brief Appraisal of Behavioral Economists' Plea for Light Paternalism
Brazilian Journal of Political Economy, vol 32, nº 3 (128), pp 445-458, July-September/2012 Freedom of choice and bounded rationality: a brief appraisal of behavioral economists’ plea for light paternalism ROBERTA MURAMATSU PATRÍCIA FONSECA* Behavioral economics has addressed interesting positive and normative ques- tions underlying the standard rational choice theory. More recently, it suggests that, in a real world of boundedly rational agents, economists could help people to im- prove the quality of their choices without any harm to autonomy and freedom of choice. This paper aims to scrutinize available arguments for and against current proposals of light paternalistic interventions mainly in the domain of intertemporal choice. It argues that incorporating the notion of bounded rationality in economic analysis and empirical findings of cognitive biases and self-control problems cannot make an indisputable case for paternalism. Keywords: freedom; choice; bounded rationality; paternalism; behavioral eco- nomics. JEL Classification: B40; B41; D11; D91. So the immediate problem in Libertarian Paternalism is the fatuity of its declared motivation Very few libertarians have maintained what Thaler and Sunstein suggest they maintain, and indeed many of the leading theorists have worked with ideas in line with what Thaler and Sunstein have to say about man’s nature Thaler and Sunstein are forcing an open door Daniel Klein, Statist Quo Bias, Economic Journal Watch, 2004 * Professora doutora da Universidade Presbiteriana Mackenzie e do Insper, e-mail: rmuramatsu@uol. com.br; Pesquisadora independente na área de Economia Comportamental e Psicologia Econômica, e-mail [email protected]. Submetido: 23/fevereiro/2011. Aprovado: 12/março/2011. Revista de Economia Política 32 (3), 2012 445 IntrodUCTION There is a long-standing methodological tradition stating that economics is a positive science that remains silent about policy issues and the complex determi- nants of human ends, values and motives. -
Welfare Goal in Antitrust Journals.Sagepub.Com/Home/Abx
The Antitrust Bulletin 1-39 ª The Author(s) 2018 The Unsound Theory Behind Article reuse guidelines: sagepub.com/journals-permissions the Consumer (and Total) DOI: 10.1177/0003603X18807802 Welfare Goal in Antitrust journals.sagepub.com/home/abx Mark Glick* Abstract This is the first installment of a two-part commentary on the New Brandeis School (the “New Brandeisians”) in Antitrust. In this first part, I examine why the New Brandeisians are correct to reject the consumer welfare standard. Instead of arguing, as the New Brandeisians do, that the consumer welfare standard leads to unacceptable outcomes, I argue that the consumer or total welfare standard was theoretically flawed and unrigorous from the start. My basic argument is that antitrust law addresses the impact of business strategies in markets where there are winners and losers. For example, in the classical exclusionary monopolist case, the monopolist’s conduct is enjoined to increase competition in the affected market or markets. As a result of the intervention, consumers benefit, but the monopolist is worse off. One hundred years of analysis by the welfare economists themselves shows that in such situations “welfare” or “consumer welfare” cannot be used as a reliable guide to assess the results of antitrust policy. Pareto Optimality does not apply in these situations because there are losers. Absent an ability to divine “cardinal utility” from obser- vations of market behavior, other approaches such as consumer surplus, and compensating and equivalent variation cannot be coherently extended from the individual level to markets. The Kaldor-Hicks compensation principle that is in standard use in law and economics was created to address problems of interpersonal comparisons of utility and the existence of winners and losers. -
Economic Theory, Ideal Types, and Rationality
Lansana Keita Economic Theory, Ideal Types, and Rationality Abstract: Contemporary economic theory is generally regarded as a scien tific or at least potentially so. The replacing of the cardinal theory of utility measurement by the ordinal theory was supposed to prepare the groundwork for economics as a genuine science. But in adopting the ordinal approach, theorists saw fit to anchor ordinal theory to axioms of choice founded on principles of rational behavior. Behavior according to these axioms was embodied in the ideal type model of rational economic man. This model served the basis for scientific explanation of the choices made by actual economic agents. I argue though that the postulate of rationality is a normative principle and that this compromises the scientific pre tensions of economic theory. Yet the theorist must rely on this principle to formulate predictive and explanatory theories. This raises questions as to whether it is possible that economic theory satisfy the same kind of scientific criteria set down for research in the natural sciences. I. It is generally assumed that of all the social sciences, econom ics is the most promising candidate for acceptance as a science. Theories in economics conform to the formal requirements de manded of theories in natural science in the sense that they possess basic postulates, axioms and laws whose function is to describe at a fundamental level some segment of the empir ical world particular to the discipline itself. Predictive and explanatory theories are then constructed from these posited axioms and postulates. For example, microeconomic theory which is founded on a set of axioms of choice purports to predict and explain the behavior of the consumer and that of the entre preneur. -
Ordinal Utility and the Traditional Theory of Consumer Demand1 Donald W
real-world economics review, issue no. 67 subscribe for free Ordinal utility and the traditional theory of consumer demand1 Donald W. Katzner [University of Massachusetts/Amherst, USA] Copyright: Donald W. Katzner, 2014 You may post comments on this paper at http://rwer.wordpress.com/comments-on-rwer-issue-no-67/ In an earlier issue of this Journal, Jonathan Barzilai, in a paper entitled, “Inapplicable Operations on Ordinal, Cardinal, and Expected Utility” [see reference 2], has raised important issues regarding ordinal utility, and correctly clarified the meaning of the general notion of ordinality in terms of the mathematical theory of measurement. In that process, he has also subjected the traditional theory of consumer demand to serious attack. Barzilai's assault on traditional consumer theory, which is based on the mathematical theory of measurement, is useful because it brings to the fore the fact that, for economists, there is a second notion of ordinal utility, older than and independent of the mathematical-theory-of-measurement concept, and which is the relevant one for the traditional theory of consumer demand. That older approach seems to have had widespread acceptance among economists before the newer mathematical approach was known to them. The essence of Barzilai's attack consists of the claims that: 1. The function values of the utility function in that theory are ordinal and cannot, according to the mathematical theory of measurement, be subjected to arithmetic operations. This means that, since the reckoning of derivatives requires subtraction and division of function values, the derivatives of the ordinal utility function cannot be calculated. -
0710 Rational Choice Theory in Law and Economics | Findlaw
0710 RATIONAL CHOICE THEORY IN LAW AND ECONOMICS Thomas S. Ulen Alumni Distinguished Professor of Law, College of Law, University of Illinois at Urbana-Champaign and Professor, University of Illinois Institute of Government and Public Affairs © Copyright 1999 Thomas S. Ulen Abstract The great appeal of law and economics has been its use of a coherent theory of human decision making (rational choice theory) to examine legal rules and institutions. While the innovations and accomplishments of that theory in the analysis of the law have been many and important, there has been a great deal of dissatisfaction among more traditional legal scholars with the rational-choice foundation of law and economics. This chapter, first, explains rational choice theory and its importance in the economic analysis of law; second, summarizes some of the literature from economics, cognitive psychology, and other disciplines that have been critical of rational choice theory; and, third, speculates on the impact of those criticisms on the economic analysis of law. JEL classification: K00 Keywords: Rationality, Bargaining, Human Decision Making, Methodological Criticism 1. Introduction When law and economics was a new field in the legal curriculum and just becoming a regular part of academic legal discourse, the use of microeconomic theory to discuss traditional legal topics aroused interest but also suspicion and hostility. Prominent among the reasons for this suspicion and hostility was the feeling that the economist’s account of human decision making - rational choice theory - was so deeply flawed that conclusions derived from that account ought to be taken with a very large grain of salt, if not rejected outright. -
On Ordinal Utility, Cardinal Utility, and Random Utility
This is a repository copy of On ordinal utility, cardinal utility, and random utility . White Rose Research Online URL for this paper: http://eprints.whiterose.ac.uk/2544/ Article: Batley, R. (2007) On ordinal utility, cardinal utility, and random utility. Theory and Decision, Online. ISSN 1573-7187 https://doi.org/10.1007/s11238-007-9046-2 Reuse See Attached Takedown If you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing [email protected] including the URL of the record and the reason for the withdrawal request. [email protected] https://eprints.whiterose.ac.uk/ White Rose Research Online http://eprints.whiterose.ac.uk/ Institute of Transport Studies University of Leeds This is an author produced version of a paper published in Theory and Decision Journal. It has been peer reviewed but does not include the final publishers formatting and pagination. White Rose Repository URL for this paper: http://eprints.whiterose.ac.uk/2544/ Published paper Batley, Richard (2007) On ordinal utility, cardinal utility, and random utility. Theory and Decision, Online First, May 2007 White Rose Consortium ePrints Repository [email protected] Onordinalutility,cardinalutility,andrandomutility RichardBatley InstituteforTransportStudies,UniversityofLeeds,UK [email protected] ABSTRACT ThoughtheRandomUtilityModel(RUM)wasconceivedentirelyintermsof ordinal utility, the apparatus through which it is widely practised exhibits properties of cardinal utility.The adoption of cardinal utility as a working operation of ordinal is perfectly valid, provided interpretations drawnfrom thatoperationremainfaithfultoordinalutility.Thepaperconsiderswhether the latter requirement holds true for several measurements commonly derivedfromRUM.Inparticularitisfoundthatmeasurementsofconsumer surplus change may depart from ordinal utility, and exploit the cardinality inherentinthepracticalapparatus. -
Were the Ordinalists Wrong About Welfare Economics?
journal of Economic Literature Vol. XXII (June 1984), pp. 507-530 Were the Ordinalists Wrong About Welfare Economics? By ROBERT COOTER University of California, Berkeley and PETER RAPPOPORT New York University Useful comments on earlier drafts were provided by Sean Flaherty, Marcia Marley, Tim Scanlon, Andrew Schotter, Mark Schankerman, Lloyd Ulman and two anonymous referees. We are grateful to the National Science Foundation and the C. V. Starr Center at New York University for financial support. Responsibility for accuracy rests with the authors. pE DEVELOPMENT of utility theory has economics.1 The intuitive idea of scientific experienced two definitive episodes: progress is that new theories are discov the "marginalist revolution" of the 1870s ered that explain more than old theories. and the "Hicksian" or "ordinalist revolu We shall contend that the ordinalist revo tion" of the 1930s. While the first event lution was not scientific progress in this established a central place for utility the sense. For example, the older school was ory in economics, the second restricted concerned with economic policies to the concept of utility acceptable to eco bring about income redistribution and al nomics. The term "ordinalist revolution" leviate poverty, and the ordinalists did not refers to the rejection of cardinal notions offer a more general theory for solving of utility and to the general acceptance these problems. Instead, the trick that car of the position that utility was not compa ried the day for the ordinalists was to ar rable across individuals. The purpose gue that the questions asked by the older of this paper is to analyze the events school, and the answers which they gave, comprising the ordinalist revolution with 1 For example, Kenneth Arrow, referring to the a view to determining whether they earlier school, wrote: achieved the advances in economic sci . -
Ordinal Space, Utility, and Consumer Demand: a Clarifying Note
Munich Personal RePEc Archive Ordinal Space, Utility, and Consumer Demand: A Clarifying Note Dominique, C-Rene Laval University (ret.) 11 November 2016 Online at https://mpra.ub.uni-muenchen.de/75030/ MPRA Paper No. 75030, posted 12 Nov 2016 07:06 UTC ORDINAL SPACE, UTILITY, AND CONSUMER DEMAND: A CLARIFYING NOTE C-René Dominique Laval University (ret.), Cité Universitaire, Québec, Canada G1K SUMMARY: Concepts such as marginal utility, expected-utility, etc. are severely criticized in some quarters where economists are accused of performing mathematical operations in ordinal spaces. Haplessly, economists’ counter- claims are far from being substantive. This note shows that there exists an order-isomorphism relating preference ordering to a substantive set of real numbers and thus obviates the need for a utility index. KEYWORDS: Ordinal Spaces, Binary Relation, Poset, Total Pre-ordering, Isomorphisms. JEL Classification: D10, D11. INTRODUCTION: In a few recent papers, Barzilai (2010, 2011, 2013) reminds us that on ordinal spaces (non Euclidean) only relations are defined and, therefore, all elementary mathematical operations are inapplicable, including concepts of algebra and calculus. Thus, if norms, metrics, derivatives, convexity concepts, etc. are undefined in ordinal spaces, then ordinal utility functions are not differentiable. Consequently, works on decision theory by von Neumann and Morgenstern (1944), Pareto (1971), Hicks (1946), Samuelson (1948), and Debreu (1954) are based on fundamental errors. So stated, Barzilai then accuses these economists and their followers of misidentifying mathematical spaces, and of drawing erroneous conclusions such as the derivation of individual demand functions and their properties from constrained utility maximization. Katzner (2014) took issue with these claims, arguing in return that Barzilai’s criticism is founded on the general notion of ordinality arising out of the mathematical theory of measurement.