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Dynamic psychological games

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  • Battigalli, Pierpaolo
  • Dufwenberg, Martin

Abstract

The motivation of decision makers who care for various emotions, intentions-based reciprocity, or the opinions of others may depend directly on beliefs (about choices, beliefs, or information). Geanakoplos, Pearce and Stacchetti [J. Geanakoplos, D. Pearce, E. Stacchetti, Psychological games and sequential rationality, Games Econ. Behav. 1 (1989) 60-79] point out that traditional game theory is ill-equipped to address such matters, and they pioneer a new framework which does. However, their toolbox - psychological game theory - incorporates several restrictions that rule out plausible forms of belief-dependent motivation. Building on recent work on dynamic interactive epistemology, we propose a more general framework. Updated higher-order beliefs, beliefs of others, and plans of action may influence motivation, and we can capture dynamic psychological effects (such as sequential reciprocity, psychological forward induction, and regret) that were previously ruled out. We develop solution concepts, provide examples, explore properties, and suggest avenues for future research.

Suggested Citation

  • Battigalli, Pierpaolo & Dufwenberg, Martin, 2009. "Dynamic psychological games," Journal of Economic Theory, Elsevier, vol. 144(1), pages 1-35, January.
    • Handle: RePEc:eee:jetheo:v:144:y:2009:i:1:p:1-35
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    1. Ernst Fehr & Simon Gächter, 2000. "Fairness and Retaliation: The Economics of Reciprocity," Journal of Economic Perspectives, American Economic Association, vol. 14(3), pages 159-181, Summer.
    2. Battigalli, Pierpaolo & Bonanno, Giacomo, 1999. "Recent results on belief, knowledge and the epistemic foundations of game theory," Research in Economics, Elsevier, vol. 53(2), pages 149-225, June.
    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.
    4. Faruk Gul & Wolfgang Pesendorfer, 2005. "The Canonical Type Space for Interdependent Preferences," Levine's Bibliography 784828000000000434, UCLA Department of Economics.
    5. Botond Kőszegi & Matthew Rabin, 2006. "A Model of Reference-Dependent Preferences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(4), pages 1133-1165.
    6. David E. Bell, 1982. "Regret in Decision Making under Uncertainty," Operations Research, INFORMS, vol. 30(5), pages 961-981, October.
    7. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.
    8. Charness, Gary & Dufwenberg, Martin, 2003. "Promises & Partnership," Research Papers in Economics 2003:3, Stockholm University, Department of Economics.
    9. Dufwenberg, Martin & Kirchsteiger, Georg, 2000. "Reciprocity and wage undercutting," European Economic Review, Elsevier, vol. 44(4-6), pages 1069-1078, May.
    10. Kolpin, Van, 1992. "Equilibrium refinement in psychological games," Games and Economic Behavior, Elsevier, vol. 4(2), pages 218-231, April.
    11. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, April.
    12. Falk, Armin & Fischbacher, Urs, 2006. "A theory of reciprocity," Games and Economic Behavior, Elsevier, vol. 54(2), pages 293-315, February.
    13. Segal, Uzi & Sobel, Joel, 2007. "Tit for tat: Foundations of preferences for reciprocity in strategic settings," Journal of Economic Theory, Elsevier, vol. 136(1), pages 197-216, September.
    14. Wulf Albers & Robin Pope & Reinhard Selten & Bodo Vogt, 2000. "Experimental Evidence for Attractions to Chance," German Economic Review, Verein für Socialpolitik, vol. 1(2), pages 113-130, May.
    15. Rubinstein, Ariel, 1991. "Comments on the Interpretation of Game Theory," Econometrica, Econometric Society, vol. 59(4), pages 909-924, July.
    16. Li, Jing, 2008. "The power of conventions: A theory of social preferences," Journal of Economic Behavior & Organization, Elsevier, vol. 65(3-4), pages 489-505, March.
    17. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
    18. John Geanakoplos, 1996. "The Hangman's Paradox and Newcomb's Paradox as Psychological Games," Cowles Foundation Discussion Papers 1128, Cowles Foundation for Research in Economics, Yale University.
    19. David K. Levine, 1998. "Modeling Altruism and Spitefulness in Experiment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(3), pages 593-622, July.
    20. D. Pearce, 2010. "Rationalizable Strategic Behavior and the Problem of Perfection," Levine's Working Paper Archive 523, David K. Levine.
    21. 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.
    22. Adam Brandenburger & Eddie Dekel, 2014. "Hierarchies of Beliefs and Common Knowledge," World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 2, pages 31-41, World Scientific Publishing Co. Pte. Ltd..
    23. Robert Aumann & Adam Brandenburger, 2014. "Epistemic Conditions for Nash Equilibrium," World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 5, pages 113-136, World Scientific Publishing Co. Pte. Ltd..
    24. Stephen Morris, 2001. "Political Correctness," Journal of Political Economy, University of Chicago Press, vol. 109(2), pages 231-265, April.
    25. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
    26. Caplin, Andrew & Eliaz, Kfir, 2003. "AIDS Policy and Psychology: A Mechanism-Design Approach," RAND Journal of Economics, The RAND Corporation, vol. 34(4), pages 631-646, Winter.
    27. Dufwenberg, Martin & Kirchsteiger, Georg, 2004. "A theory of sequential reciprocity," Games and Economic Behavior, Elsevier, vol. 47(2), pages 268-298, May.
    28. Botond Koszegi & Matthew Rabin, 2007. "Reference-Dependent Risk Attitudes," American Economic Review, American Economic Association, vol. 97(4), pages 1047-1073, September.
    29. Fudenberg, Drew & Levine, David K, 1993. "Self-Confirming Equilibrium," Econometrica, Econometric Society, vol. 61(3), pages 523-545, May.
    30. Andrew Caplin & John Leahy, 2001. "Psychological Expected Utility Theory and Anticipatory Feelings," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(1), pages 55-79.
    31. Karni, Edi & Schlee, Edward E, 1995. "Utility Theory with Probability Dependent Outcome Valuation: Extensions and Applications," Journal of Risk and Uncertainty, Springer, vol. 10(2), pages 127-142, March.
    32. Loomes, Graham & Sugden, Robert, 1982. "Regret Theory: An Alternative Theory of Rational Choice under Uncertainty," Economic Journal, Royal Economic Society, vol. 92(368), pages 805-824, December.
    33. Machina, Mark J, 1989. "Dynamic Consistency and Non-expected Utility Models of Choice under Uncertainty," Journal of Economic Literature, American Economic Association, vol. 27(4), pages 1622-1668, December.
    34. Dufwenberg, Martin & Lundholm, Michael, 2001. "Social Norms and Moral Hazard," Economic Journal, Royal Economic Society, vol. 111(473), pages 506-525, July.
    35. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, April.
    36. Abdurrahman Bekir Aydemir, 1999. "Forecast Performance of Threshold Autoregressive Models - A Monte Carlo Study," University of Western Ontario, Departmental Research Report Series 9905, University of Western Ontario, Department of Economics.
    37. MERTENS, Jean-François & ZAMIR, Shmuel, 1985. "Formulation of Bayesian analysis for games with incomplete information," LIDAM Reprints CORE 608, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    38. Geanakoplos, John & Pearce, David & Stacchetti, Ennio, 1989. "Psychological games and sequential rationality," Games and Economic Behavior, Elsevier, vol. 1(1), pages 60-79, March.
    39. John Geanakoplos & David Pearce & Ennio Stacchetti, 2010. "Psychological Games and Sequential Rationality," Levine's Working Paper Archive 587, David K. Levine.
    40. Karni, Edi, 1992. "Utility theory with probability-dependent outcome valuation," Journal of Economic Theory, Elsevier, vol. 57(1), pages 111-124.
    41. Battigalli, Pierpaolo & Siniscalchi, Marciano, 2002. "Strong Belief and Forward Induction Reasoning," Journal of Economic Theory, Elsevier, vol. 106(2), pages 356-391, October.
    42. Ruffle, Bradley J., 1999. "Gift giving with emotions," Journal of Economic Behavior & Organization, Elsevier, vol. 39(4), pages 399-420, July.
    43. Geir B. Asheim, 2006. "The Consistent Preferences Approach to Deductive Reasoning in Games," Theory and Decision Library C, Springer, number 978-0-387-26237-6, December.
    44. Huang, Peter H & Wu, Ho-Mou, 1994. "More Order without More Law: A Theory of Social Norms and Organizational Cultures," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 10(2), pages 390-406, October.
    45. Reny, Philip J, 1992. "Backward Induction, Normal Form Perfection and Explicable Equilibria," Econometrica, Econometric Society, vol. 60(3), pages 627-649, May.
    46. Gary Charness & Martin Dufwenberg, 2006. "Promises and Partnership," Econometrica, Econometric Society, vol. 74(6), pages 1579-1601, November.
    47. Jon Elster, 1998. "Emotions and Economic Theory," Journal of Economic Literature, American Economic Association, vol. 36(1), pages 47-74, March.
    48. 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.
    49. Gilboa, Itzhak & Schmeidler, David, 1988. "Information dependent games : Can common sense be common knowledge?," Economics Letters, Elsevier, vol. 27(3), pages 215-221.
    50. Marco Ottaviani & Peter Norman Sørensen, 2006. "Reputational cheap talk," RAND Journal of Economics, RAND Corporation, vol. 37(1), pages 155-175, March.
    51. David E. Bell, 1985. "Disappointment in Decision Making Under Uncertainty," Operations Research, INFORMS, vol. 33(1), pages 1-27, February.
    52. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    53. Steffen Huck & Dorothea Kübler, 2000. "Social pressure, uncertainty, and cooperation," Economics of Governance, Springer, vol. 1(3), pages 199-212, December.
    54. Bernheim, B Douglas, 1994. "A Theory of Conformity," Journal of Political Economy, University of Chicago Press, vol. 102(5), pages 841-877, October.
    55. Andrew Caplin & John Leahy, 2004. "The supply of information by a concerned expert," Economic Journal, Royal Economic Society, vol. 114(497), pages 487-505, July.
    56. Guerra, Gerardo & John Zizzo, Daniel, 2004. "Trust responsiveness and beliefs," Journal of Economic Behavior & Organization, Elsevier, vol. 55(1), pages 25-30, September.
    57. Battigalli, Pierpaolo, 1996. "Strategic Independence and Perfect Bayesian Equilibria," Journal of Economic Theory, Elsevier, vol. 70(1), pages 201-234, July.
    58. Dufwenberg, Martin, 2002. "Marital investments, time consistency and emotions," Journal of Economic Behavior & Organization, Elsevier, vol. 48(1), pages 57-69, May.
    59. Ben-Porath, Elchanan & Dekel, Eddie, 1992. "Signaling future actions and the potential for sacrifice," Journal of Economic Theory, Elsevier, vol. 57(1), pages 36-51.
    60. Matthew Rabin, 1998. "Psychology and Economics," Journal of Economic Literature, American Economic Association, vol. 36(1), pages 11-46, March.
    61. Pierpaolo Battigalli & Martin Dufwenberg, 2007. "Guilt in Games," American Economic Review, American Economic Association, vol. 97(2), pages 170-176, May.
    62. Drew Fudenberg & David K. Levine, 1998. "The Theory of Learning in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061945, April.
    63. Pope, Robin, 2004. "Biases from omitted risk effects in standard gamble utilities," Journal of Health Economics, Elsevier, vol. 23(4), pages 695-735, July.
    64. Graham Loomes & Robert Sugden, 1986. "Disappointment and Dynamic Consistency in Choice under Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(2), pages 271-282.
    65. Michael Bacharach & Gerardo Guerra & Daniel Zizzo, 2007. "The Self-Fulfilling Property of Trust: An Experimental Study," Theory and Decision, Springer, vol. 63(4), pages 349-388, December.
    66. Werlang, Sérgio Ribeiro da Costa, 1988. "Common knowledge," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 118, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
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