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Doubts and Equilibria

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Author Info
Antonio Cabrales () (Universidad Carlos III-Madrid)
José Ramón Uriarte Ayo () (Universidad del País Vasco)

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Abstract

In real life strategic interactions decision-makers are likely to entertain doubts about the degree of optimality of their play. To capture this feature of real choice-making, we present here a model based on the doubts felt by an agent about how well is playing a game. The doubts are coupled with (and mutually reinforced by) imperfect discrimination capacity, which we model here by means of similarity relations. We assume that each agent builds procedural preferences defined on the space of expected payoffs-strategy frequencies attached to his current strategy. These preferences, together with an adaptative learning process lead to doubt-based selection dynamic systems. We introduce the concepts of Mixed Strategy Doubt Equilibria, Mixed Strategy Doubt-Full Equilibria and Mixed Strategy Doubtless Equilibria and show the theoretical and the empirical relevance of these concepts.

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Publisher Info
Paper provided by Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I in its series IKERLANAK with number 200831.

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Date of creation: 23 Apr 2008
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Handle: RePEc:ehu:ikerla:200831

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Postal: Dpto. de Fundamentos del Análisis Económico I, Facultad de CC. Económicas y Empresariales, Universidad del País Vasco, Avda. Lehendakari Aguirre 83, 48015 Bilbao, Spain
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  1. Ignacio Palacios-Huerta & Oscar Volij, 2008. "Experientia Docet: Professionals Play Minimax in Laboratory Experiments," Econometrica, Econometric Society, vol. 76(1), pages 71-115, 01. [Downloadable!] (restricted)
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  2. Ignacio Palacios-Huerta, 2003. "Professionals Play Minimax," Review of Economic Studies, Blackwell Publishing, vol. 70(2), pages 395-415, 04. [Downloadable!] (restricted)
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  3. Binmore, Ken & Samuelson, Larry, 1999. "Evolutionary Drift and Equilibrium Selection," Review of Economic Studies, Blackwell Publishing, vol. 66(2), pages 363-93, April. [Downloadable!] (restricted)
  4. Smallwood, Dennis E & Conlisk, John, 1979. "Product Quality in Markets Where Consumers are Imperfectly Informed," The Quarterly Journal of Economics, MIT Press, vol. 93(1), pages 1-23, February. [Downloadable!] (restricted)
  5. Schlag, Karl H., 1998. "Why Imitate, and If So, How?, : A Boundedly Rational Approach to Multi-armed Bandits," Journal of Economic Theory, Elsevier, vol. 78(1), pages 130-156, January. [Downloadable!] (restricted)
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  6. JosÊ RamÕn Uriarte, 1999. "Decision-making under risk: Editing procedures based on correlated similarities, and preference overdetermination," Review of Economic Design, Springer, vol. 4(1), pages 1-12. [Downloadable!] (restricted)
  7. Aizpurua, J M, et al, 1993. " Similarity and Preferences in the Space of Simple Lotteries," Journal of Risk and Uncertainty, Springer, vol. 6(3), pages 289-97, June.
  8. Tang, Fang-Fang, 2001. "Anticipatory learning in two-person games: some experimental results," Journal of Economic Behavior & Organization, Elsevier, vol. 44(2), pages 221-232, February. [Downloadable!] (restricted)
  9. Cabrales, Antonio, 2000. "Stochastic Replicator Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(2), pages 451-81, May.
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