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Dynamic Psychological Games

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Author Info
Pierpaolo Battigalli
Martin Dufwenberg

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Abstract

Building on recent work on dynamic interactive epistemology, we extend the analysis of extensive-form psychological games (Geneakoplos, Pearce & Stacchetti, Games and Economic Behavior, 1989) to include conditional higher-order beliefs and enlarged domains of payoff functions. The approach allows modeling dynamic psychological effects (such as sequential reciprocity, psychological forward induction, and regret) that are ruled out when epistemic types are identified with hierarchies of initial beliefs. We define a notion of psychological sequential equilibrium, which generalizes the sequential equilibrium notion for traditional games, for which we prove existence under mild assumptions. Our framework also allows us to directly formulate assumptions about ‘dynamic’ rationality and interactive beliefs in order to explore strategic interaction without assuming that players beliefs are coordinated on an equilibrium. In particular, we provide an exploration of (extensive-form) rationalizability in psychological games.

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Paper provided by IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University in its series Working Papers with number 287.

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Date of creation: 2005
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Handle: RePEc:igi:igierp:287

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  1. Ernst Fehr & Simon Gaechter, . "Fairness and Retaliation: The Economics of Reciprocitys," IEW - Working Papers iewwp040, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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  2. Battigalli, Pierpaolo & Siniscalchi, Marciano, 2002. "Strong Belief and Forward Induction Reasoning," Journal of Economic Theory, Elsevier, vol. 106(2), pages 356-391, October. [Downloadable!] (restricted)
  3. Dufwenberg, Martin & Gneezy, Uri, 2000. "Measuring Beliefs in an Experimental Lost Wallet Game," Games and Economic Behavior, Elsevier, vol. 30(2), pages 163-182, February. [Downloadable!] (restricted)
  4. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401.
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  5. Battigalli, Pierpaolo & Siniscalchi, Marciano, 1999. "Hierarchies of Conditional Beliefs and Interactive Epistemology in Dynamic Games," Journal of Economic Theory, Elsevier, vol. 88(1), pages 188-230, September. [Downloadable!] (restricted)
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  6. Faruk Gul & Wolfgang Pesendorfer, 2006. "The Canonical Type Space for Interdependent Preferences," Levine's Bibliography 321307000000000457, UCLA Department of Economics. [Downloadable!]
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  7. Battigalli, Pierpaolo, 1996. "Strategic Independence and Perfect Bayesian Equilibria," Journal of Economic Theory, Elsevier, vol. 70(1), pages 201-234, July. [Downloadable!] (restricted)
  8. Dufwenberg, Martin & Kirchsteiger, Georg, 2004. "A theory of sequential reciprocity," Games and Economic Behavior, Elsevier, vol. 47(2), pages 268-298, May. [Downloadable!] (restricted)
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  9. Michael Bacharach & Gerardo A. Guerra & Daniel John Zizzo, 2001. "Is Trust Self-Fulfilling? An Experimental Study," Economics Series Working Papers 076, University of Oxford, Department of Economics. [Downloadable!]
  10. Ruffle, Bradley J., 1999. "Gift giving with emotions," Journal of Economic Behavior & Organization, Elsevier, vol. 39(4), pages 399-420, July. [Downloadable!] (restricted)
  11. Fudenberg, Drew & Levine, David K, 1993. "Self-Confirming Equilibrium," Econometrica, Econometric Society, vol. 61(3), pages 523-45, May. [Downloadable!] (restricted)
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  12. Kolpin, Van, 1992. "Equilibrium refinement in psychological games," Games and Economic Behavior, Elsevier, vol. 4(2), pages 218-231, April. [Downloadable!] (restricted)
  13. Huang, Peter H & Wu, Ho-Mou, 1994. "More Order without More Law: A Theory of Social Norms and Organizational Cultures," Journal of Law, Economics and Organization, Oxford University Press, vol. 10(2), pages 390-406, October.
  14. Reny, Philip J, 1992. "Backward Induction, Normal Form Perfection and Explicable Equilibria," Econometrica, Econometric Society, vol. 60(3), pages 627-49, May. [Downloadable!] (restricted)
  15. Guerra, Gerardo & John Zizzo, Daniel, 2004. "Trust responsiveness and beliefs," Journal of Economic Behavior & Organization, Elsevier, vol. 55(1), pages 25-30, September. [Downloadable!] (restricted)
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  16. Gary Charness & Martin Dufwenberg, 2004. "Promises and Partnership," Levine's Bibliography 122247000000000001, UCLA Department of Economics. [Downloadable!]
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  17. Jon Elster, 1998. "Emotions and Economic Theory," Journal of Economic Literature, American Economic Association, vol. 36(1), pages 47-74, March. [Downloadable!] (restricted)
  18. Rubinstein, Ariel, 1991. "Comments on the Interpretation of Game Theory," Econometrica, Econometric Society, vol. 59(4), pages 909-24, July. [Downloadable!] (restricted)
  19. Loomes, Graham & Sugden, Robert, 1982. "Regret Theory: An Alternative Theory of Rational Choice under Uncertainty," Economic Journal, Royal Economic Society, vol. 92(368), pages 805-24, December. [Downloadable!] (restricted)
  20. Kohlberg, Elon & Reny, Philip J., 1997. "Independence on Relative Probability Spaces and Consistent Assessments in Game Trees," Journal of Economic Theory, Elsevier, vol. 75(2), pages 280-313, August. [Downloadable!] (restricted)
  21. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-50, July. [Downloadable!] (restricted)
  22. John Geanakoplos, 1996. "The Hangman's Paradox and Newcomb's Paradox as Psychological Games," Cowles Foundation Discussion Papers 1128, Cowles Foundation, Yale University. [Downloadable!]
  23. Aumann, Robert & Brandenburger, Adam, 1995. "Epistemic Conditions for Nash Equilibrium," Econometrica, Econometric Society, vol. 63(5), pages 1161-80, September. [Downloadable!] (restricted)
  24. Dufwenberg, Martin & Lundholm, Michael, 2001. "Social Norms and Moral Hazard," Economic Journal, Royal Economic Society, vol. 111(473), pages 506-25, July. [Downloadable!] (restricted)
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  25. Falk, Armin & Fischbacher, Urs, 2006. "A theory of reciprocity," Games and Economic Behavior, Elsevier, vol. 54(2), pages 293-315, February. [Downloadable!] (restricted)
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  26. Uzi Segal & Joel Sobel, 1999. "Tit for Tat: Foundations of Preferences for Reciprocity in Strategic Settings," UWO Department of Economics Working Papers 9905, University of Western Ontario, Department of Economics. [Downloadable!]
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  27. Gilboa, Itzhak & Schmeidler, David, 1988. "Information dependent games : Can common sense be common knowledge?," Economics Letters, Elsevier, vol. 27(3), pages 215-221. [Downloadable!] (restricted)
  28. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December. [Downloadable!] (restricted)
  29. Steffen Huck & Dorothea Kübler, 2000. "Social pressure, uncertainty, and cooperation," Economics of Governance, Springer, vol. 1(3), pages 199-212, December.
  30. Bernheim, B Douglas, 1994. "A Theory of Conformity," Journal of Political Economy, University of Chicago Press, vol. 102(5), pages 841-77, October. [Downloadable!] (restricted)
  31. Geanakoplos, John & Pearce, David & Stacchetti, Ennio, 1989. "Psychological games and sequential rationality," Games and Economic Behavior, Elsevier, vol. 1(1), pages 60-79, March. [Downloadable!] (restricted)
  32. Brandenburger Adam & Dekel Eddie, 1993. "Hierarchies of Beliefs and Common Knowledge," Journal of Economic Theory, Elsevier, vol. 59(1), pages 189-198, February. [Downloadable!] (restricted)
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Basu, Kaushik, 2006. "Identity, Trust and Altruism: Sociological Clues to Economic Development," Working Papers 06-05, Cornell University, Center for Analytic Economics. [Downloadable!]
  2. Khalil, Elias, 2007. "Emotions and International Conflicts: Sociological, Evolutionary and Rational Views," MPRA Paper 2279, University Library of Munich, Germany. [Downloadable!]
  3. Heike Hennig-Schmidt, 2008. "The Framing of Games and the Psychology of Play," Bonn Econ Discussion Papers bgse15_2008, University of Bonn, Germany. [Downloadable!]
  4. Vittorio Pelligra, 2007. "Intentions, Trust and Frames: A note on Sociality and the Theory of Games," Working Paper CRENoS 200702, Centre for North South Economic Research, University of Cagliari and Sassari, Sardinia. [Downloadable!]
  5. Maroš Servátka & Steven Tucker & Radovan Vadovic, 2008. "Strategic Use of Trust," Working Papers in Economics 08/11, University of Canterbury, Department of Economics. [Downloadable!]
  6. Sebald, Alexander, 2007. "Procedural Concerns and Reciprocity," MPRA Paper 4508, University Library of Munich, Germany. [Downloadable!]
  7. Penta, Antonio, 2004. "Perfect Sequential Reciprocity and Dynamic Consistency," MPRA Paper 10261, University Library of Munich, Germany, revised Sep 2007. [Downloadable!]
  8. Topi Miettinen, 2006. "Promises and Conventions - An Approach to Pre-play Agreements," Papers on Strategic Interaction 2006-29, Max Planck Institute of Economics, Strategic Interaction Group. [Downloadable!]
  9. Maroš Servátka & Radovan Vadovic, 2008. "Does Fairness of the Outside Option Matter?," Working Papers in Economics 08/06, University of Canterbury, Department of Economics. [Downloadable!]
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