Do Rational People Make Mistakes

Research Article| December 01 1992 New Insights into the Collaboration between John von Neumann and Oskar Morgenstern on the Theory of Games and Economic Behavior Urs Rellstab Urs Rellstab Search for other works by this author on: This Site Google History of Political Economy (1992) 24 (Supplement): 77–93. https://doi.org/10.1215/00182702-24-Supplement-77 Cite Icon Cite Share Icon Share Facebook Twitter LinkedIn MailTo Permissions Search Site Citation Urs Rellstab; New Insights into the Collaboration between John von Neumann and Oskar Morgenstern on the Theory of Games and Economic Behavior. History of Political Economy 1 December 1992; 24 (Supplement): 77–93. doi: https://doi.org/10.1215/00182702-24-Supplement-77 Download citation file: Zotero Reference Manager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search Books & JournalsAll JournalsHistory of Political Economy Search Advanced Search The text of this article is only available as a PDF. Copyright © 1992 by Duke University Press1992 Article PDF first page preview Close Modal You do not currently have access to this content.

Introduction Since the seminal book by Von Neumann and Morgenstern (1944), Theory of Games and Economic Behavior , game theory has progressively permeated all fields of economics (industrial organization, labor, financial and international economics) and extended its influence on the other social sciences (politics, sociology, and law). It has become an essential tool for studying interpersonal relationships and provides a rigorous and useful methodology for modeling and analyzing strategic decisions. Game theory methodology has also incited profound and far-reaching changes in the way markets, organizations, and institutions are viewed; it has contributed to better understanding the rationale of many private and public institutions, such as contracts, franchising, insurance, certification agencies, and standardization committees. This chapter is aimed at revealing the contribution of game theory to the analysis of institutions. The goal herein is not to propose an exhaustive course in game theory (for good introductions to game theory, see Gibbons 1992 or Osborne and Rubinstein 1995), but rather to focus on the main results and lessons that can be drawn from game theory with respect to institutions. Institutions may basically be characterized in two ways. They can, first, be defined as the set of fundamental political, social, and legal ground rules that establish the bases for production, exchange, and distribution (Davis and North 1971). From this perspective, institutions appear as the rules of the game imposed on all economic actors.

'Game Theory' is a mathematical concept, which deals with the formulation of the correct strategy that will enable an individual or entity (i.e., player), when confronted by a complex challenge, to succeed in addressing that challenge. It was developed based on the premise that for whatever circumstance, or for whatever 'game', there exists a strategy that will allow one player to 'win'. Any business can be considered as a game played against competitors, or even against customers. Economists have long used it as a tool for examining the actions of economic agents such as firms in a market. The ideas behind game theory have appeared through-out history [1], apparent in the bible, the Talmud, the works of Descartes and Sun Tzu, and the writings of Charles Darwin [2]. However, some argue that the first actual study of game theory started with the work of Daniel Bernoulli, A mathematician born in 1700 [3]. Although his work, the “Bernoulli’s Principles” formed the basis of jet engine production and operations, he is credited with introducing the concepts of expected utility and diminishing returns. Others argue that the first mathematical tool was presented in England in the 18

The theory of games recently proposed by John C. Harsanyi in ‘A General Theory of Rational Behavior in Game Situations’, (Econometrica, Vol. 34, No. 3) has one anomalous feature, viz., that it generates for a special class of non-cooperative games solutions which are not equilibrium points. It is argued that this feature of the theory turns on an argument concerning the instability of weak equilibrium points, and that this argument, in turn, involves appeal to an unrestricted version of a postulate subsequently included in the theory in restricted form. It is then shown that if this line of reasoning is permitted, then one must, by parity of reasoning, permit another instability argument. But, if both of these instability arguments are permitted in the construction of the theory, the resultant theory must be incomplete, in the sense that there will be simple non-cooperative games for which such a theory cannot yield solutions. This result is then generalized and shown to be endemic to all theories which have made the equilibrium condition central to the treatment of non-cooperative games. Some suggestions are then offered concerning how this incompleteness problem can be resolved, and what one might expect concerning the postulate structure and implications of a theory of games which embodies the revisions necessitated by a resolution of this problem.

Distributed Coding of Actual and Hypothetical Outcomes in the Orbital and Dorsolateral Prefrontal Cortex

The von Neumann-Morgenstern ‘expected utility hypothesis’ as presented in Chapter I of The Theory of Games and Economic Behavior (1944) was the first attempt at a rigorous axiomatization of a fundamental concept of economics, namely, a general theory of utility. There is no a priori notion of ‘rationality’ in the theory; rather, that is a concept to be derived and given meaning to from the theory. The theory is ‘absolutely convincing’ in the sense that if behavior deviates from that predicated by the theory, after explanation of the theory, behavior would be adjusted. The von Neumann-Morgenstern ‘expected utility theory’ was the first approximation to an undoubtedly much richer and far more complicated reality. Critics of the theory, such as Allais and others, have centered their criticism of the theory not on the internal consistency of the axioms of which the theory is composed but rather on the validity of the axioms themselves. In that sense, the attacks on the theory are misplaced. It is common knowledge throughout scientific circles that axiomatic systems are often modified as axioms are more precisely specified, qualified, or, at times, replaced, as our understanding of physical laws is expanded. Not unexpectedly, the evolution of the von Neumann-Morgenstern ‘expected utility theory’ over the past thirty years is in complete concordance with scientific progress.

There is a tendency for some economists who are less familiar with game theory (GT) to comment that it has never fulfilled its early promise and that it essentially has little to offer as a tool to understand, predict and guide human, social and economic behaviour. For instance in Sylvia Nasar’s book ‘A Beautiful Mind’, she recounts the remarkable controversy that surrounded the award of a nobel prize for GT, including one committee member apparently asking for ‘a single major example that game theory had any empirical validity whatsoever’ (p. 371). An excellent reply to such sceptics would be to present them with a copy of Colin Camerer’s new book, ‘Behavioral Game Theory’. This is not to say that his book catalogues an unbroken string of successes for the theory, as we shall see neither GT nor human behaviour emerges unscathed from the body of work reported therein.

Oyun teorisi, bir rekabet ortamında bir birey ya da grubun elde ettiği kazancın, bu rekabet ortamına katılan diğer birey ve grupların kararlarına bağlı olduğunu savunan matematiksel yaklaşım olarak tanımlanmaktadır. Bu açıdan değerlendirilince de oyun teorisi rekabetin matematiği olarak da ifade edilen bir stratejik karar alma aracı olarak karşımıza çıkmaktadır. Günümüz şartlarında rekabetin daha da artmasıyla birlikte oyun kuramı olarak da bilinen oyun teorisi öne çıkmaya başlamıştır. Özellikle de son zamanlarda asimetrik bilginin piyasalarda kendini göstermesiyle birlikte oyun teorisinin önemi daha da anlaşılmıştır. Bu açıdan değerlendirilince de oyun teorisi özellikle de asimetrik bilginin yaygınlık kazandığı bankacılık sektöründe, kredi alıp vermede bankaların kredi alan müşterinin yatırımı ve bu yatırımın geleceğiyle ilgili tam bilgiye sahip olmadıklarından dolayı, büyük bir önem arz etmeye başlamıştır. Bu doğrultuda bu çalışmada bankalar tarafında verilen kredilere yönelik genel stratejik yaklaşımlar geliştirilerek oyun teorisi çerçevesinde incelemelerde bulunulmuştur. Sonuçta en doğru stratejinin her iki tarafa da kredi uygulaması ve bunların da aldıkları kredileri geri ödemesi durumunda ortaya çıktığı anlaşılmıştır.

Game-theoretic models have been used to analyze design problems ranging from multi-objective design optimization to decentralized design and from design for market systems (DFMS) to policy design. However, existing studies are primarily analytical in nature, which start with a number of assumptions about the individual decisions, the information available to the players, and the solution concept (generally, the Nash equilibrium). There is a lack of studies related to engineering design, which rigorously evaluate the validity of these assumptions or that of the predictions from the models. Hence, the usefulness of these models to realistic engineering systems design has been severely limited. In this paper, we take a step toward addressing this gap. Using an example of crowdsourcing for engineering design, we illustrate how the analytical game-theoretic models and behavioral experimentation can be synergistically used to gain a better understanding of design situations. Analytical models describe what players with assumed behaviors and cognitive capabilities would do under specified conditions, and the behavioral experiments shed light on how individuals actually behave. The paper contributes to the design literature in multiple ways. First, to the best of our knowledge, it is a first attempt at integrated theoretical and experimental game-theoretic analysis in design. We illustrate how the analytical models can be used to design behavioral experiments, which, in turn, can be used to estimate parameters, refine models, and inform further development of the theory. Second, we present a simple experiment to understand behaviors of individuals in a design crowdsourcing problem. The results of the experiment show new insights on using crowdsourcing contests for design.

We study a multiperiod bargaining mechanism in which a seller negotiates with a buyer over the price of an indivisible good. It is common knowledge that the good has zero value to the seller. Its value to the buyer is privately known, distributed independently of the seller’s value according to a distribution that is common knowledge. Bargaining proceeds as follows. The seller sets a price and offers the buyer an opportunity to purchase the good. The buyer either waits for at least one more period or agrees to purchase the good at the given price. If the buyer refuses the offer, then the process is repeated with seller making a new offer on the next period. Our findings reveal several behavioral regularities, which do not support the sequential equilibrium for this bargaining mechanism. In line with recent developments in behavioral decision theory and game theory, which assume bounded rationality, we find that subjects follow simple rules of thumb in choosing strategies, reflected in the behavioral consistencies observed in the study.

This article examines the relationship between strategic management and game theory, and how game-theoretic tools can guide strategic decision-making. onsidering the interdependence between competitors and the dynamism of the corporate world, the article explores how game-theoretic tools help in selecting effective strategies that maximize company outcomes. It does so by reviewing the historical development of both fields and examining relevant literature on their intersection. To further explore the relationship between the two concepts, an R-based simulation is employed to compare the outcomes of game-theoretic strategies with those formed independently by firms, without accounting for competition. The study showed that when decisions were made using game-theoretic principles, specifically those derived from the prisoner's dilemma framework, market outcomes were consistently more favorable. This was achieved by simulating a duopolistic market with two competitors adopting either aggressive or conservative marketing strategies. The simulations run in R Studio showed that both players had larger average market shares when they took into account their competitors' expected reactions and strategic foresight. These findings highlight the importance of game theory in sectors where the behavior of rivals is highly interrelated.

The most relevant figure associated with game theory is, without any doubt, John von Neumann, the Hungarian-American mathematician—one of the greatest of the twentieth century. Although others preceded him in formulating concepts connected to game theory (notably Emile Borel), it was von Neumann who in 1928 published the paper that laid the foundation for the theory of two-person zero-sum games. His work culminated in an essential book on game theory written in collaboration with Oskar Morgenstern and titled Theory of Games and Economic Behavior (1944).

Game theory models interactive decision making in terms of players, strategies, and payoffs. Conventional (individual) decision theory cannot prescribe rational choice in games, because a player cannot maximize expected utility without knowing how the coplayer(s) will act. Game theory, therefore, incorporates assumptions of common knowledge in addition to rationality. Rational players choose dominant strategies whenever possible, but many games lack such strategies. Every finite game has a Nash equilibrium, and this is the key solution concept of game theory, but the theory is indeterminate, because many games have multiple equilibria. Various criteria for equilibrium selection have been proposed. Experimental games provide information about the strategic behavior of human decision makers with bounded rationality. Evolutionary game theory helps to explain the evolution of cooperation and altruism and adaptive learning in repeated games.

The aim of this study is to examine the literature on game theory, behavioral game theory, and bargaining method, and to find out the role of game bargaining in the employer-employee relationship by using a case study. To achieve the objectives, the author researched scientific articles published in reputable scientific journals and analyzed the case study by using a systematic trial-and-error method along with game theory and the bargaining method. This study makes a significant contribution to our understanding of negotiations and decision-making processes in labor markets. The methodology applied combines the principles of game theory, which analyzes strategic interactions between employer and employee, with the systematic trial-and-error method, which involves iteratively testing different negotiation strategies to identify the most effective ones. By using this method, employer-employee relationships can benefit from improved communication, collaboration, and more mutually satisfactory agreements.

‘Interactive Decision Theory’ would perhaps be a more descriptive name for the discipline usually called Game Theory. This discipline concerns the behaviour of decision makers (players) whose decisions affect each other. As in non-interactive (one-person) decision theory, the analysis is from a rational, rather than a psychological or sociological viewpoint. The term ‘Game Theory’ stems from the formal resemblance of interactive decision problems (games) to parlour games such as chess, bridge, poker, monopoly, diplomacy or battleship. The term also underscores the rational, ‘cold’, calculating nature of the analysis.