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Epistemic Conditions for Nash Equilibrium

In: The Language of Game Theory Putting Epistemics into the Mathematics of Games

Citations

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Cited by:

  1. Gilli, Mario, 1999. "On Non-Nash Equilibria," Games and Economic Behavior, Elsevier, vol. 27(2), pages 184-203, May.
  2. Guarino, Pierfrancesco & Tsakas, Elias, 2021. "Common priors under endogenous uncertainty," Journal of Economic Theory, Elsevier, vol. 194(C).
  3. 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.
  4. William H. Sandholm, 2002. "Evolutionary Implementation and Congestion Pricing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(3), pages 667-689.
  5. Francois Cochard & Anthony Ziegelmeyer & Kene Boun My, 2005. "The Regulation of Nonpoint Emissions in the Laboratory: A Stress Test of the Ambient Tax Mechanism," Papers on Strategic Interaction 2005-37, Max Planck Institute of Economics, Strategic Interaction Group.
  6. Stephenson, Daniel, 2019. "Coordination and evolutionary dynamics: When are evolutionary models reliable?," Games and Economic Behavior, Elsevier, vol. 113(C), pages 381-395.
  7. Alioğulları, Zeynel Harun & Barlo, Mehmet, 2012. "Entropic selection of Nash equilibrium," MPRA Paper 37132, University Library of Munich, Germany.
  8. Marek Hudik, 2020. "Equilibrium as compatibility of plans," Theory and Decision, Springer, vol. 89(3), pages 349-368, October.
  9. Chen, Yi-Chun & Kunimoto, Takashi & Sun, Yifei & Xiong, Siyang, 2021. "Rationalizable implementation in finite mechanisms," Games and Economic Behavior, Elsevier, vol. 129(C), pages 181-197.
  10. Frank Riedel & Linda Sass, 2014. "Ellsberg games," Theory and Decision, Springer, vol. 76(4), pages 469-509, April.
  11. Kuniavsky, Sergey & Smorodinsky, Rann, 2013. "Greediness and equilibrium in congestion games," Economics Letters, Elsevier, vol. 121(3), pages 499-503.
  12. Neeman, Zvika, 2004. "The relevance of private information in mechanism design," Journal of Economic Theory, Elsevier, vol. 117(1), pages 55-77, July.
  13. Renou, Ludovic & Schlag, Karl H., 2010. "Minimax regret and strategic uncertainty," Journal of Economic Theory, Elsevier, vol. 145(1), pages 264-286, January.
  14. Battigalli, Pierpaolo & Dufwenberg, Martin, 2009. "Dynamic psychological games," Journal of Economic Theory, Elsevier, vol. 144(1), pages 1-35, January.
  15. Soham R. Phade & Venkat Anantharam, 2020. "Black-Box Strategies and Equilibrium for Games with Cumulative Prospect Theoretic Players," Papers 2004.09592, arXiv.org.
  16. Eichberger, Jurgen & Kelsey, David, 2002. "Strategic Complements, Substitutes, and Ambiguity: The Implications for Public Goods," Journal of Economic Theory, Elsevier, vol. 106(2), pages 436-466, October.
  17. Aguirregabiria, Victor, 2008. "Comment: The Identification Power of Equilibrium in Simple Games," MPRA Paper 15987, University Library of Munich, Germany.
  18. Bach, C.W. & Tsakas, E., 2012. "Pairwise interactive knowledge and Nash equilibrium," Research Memorandum 008, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  19. Chen, Yi-Chun & Long, Ngo Van & Luo, Xiao, 2007. "Iterated strict dominance in general games," Games and Economic Behavior, Elsevier, vol. 61(2), pages 299-315, November.
  20. Mezzetti, Claudio & Renou, Ludovic, 2012. "Implementation in mixed Nash equilibrium," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2357-2375.
  21. 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.
  22. Tsakas, E., 2012. "Pairwise mutual knowledge and correlated rationalizability," Research Memorandum 031, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  23. Gintis, Herbert, 2004. "Modeling cooperation among self-interested agents: a critique," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 33(6), pages 695-714, December.
  24. Thomas Jungbauer & Klaus Ritzberger, 2011. "Strategic games beyond expected utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 377-398, October.
  25. Weibull, Jörgen W., 1997. "What have we learned from Evolutionary Game Theory so far?," Working Paper Series 487, Research Institute of Industrial Economics, revised 26 Oct 1998.
  26. Khrennikov, Andrei, 2015. "Quantum version of Aumann’s approach to common knowledge: Sufficient conditions of impossibility to agree on disagree," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 89-104.
  27. Alós-Ferrer, Carlos & Kuzmics, Christoph, 2013. "Hidden symmetries and focal points," Journal of Economic Theory, Elsevier, vol. 148(1), pages 226-258.
  28. Atsushi Kajii & Stephen Morris, 2020. "Refinements and higher-order beliefs: a unified survey," The Japanese Economic Review, Springer, vol. 71(1), pages 7-34, January.
  29. 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.
  30. Bach, Christian W. & Perea, Andrés, 2020. "Generalized Nash equilibrium without common belief in rationality," Economics Letters, Elsevier, vol. 186(C).
  31. Takashi Kunimoto & Roberto Serrano, 2019. "Rationalizable Implementation of Correspondences," Management Science, INFORMS, vol. 44(4), pages 1326-1344, November.
  32. Board, Oliver, 2004. "Dynamic interactive epistemology," Games and Economic Behavior, Elsevier, vol. 49(1), pages 49-80, October.
  33. R. J. Aumann & J. H. Dreze, 2009. "Assessing Strategic Risk," American Economic Journal: Microeconomics, American Economic Association, vol. 1(1), pages 1-16, February.
  34. Alger, Ingela, 2022. "Evolutionarily stable preferences," TSE Working Papers 22-1355, Toulouse School of Economics (TSE), revised Dec 2022.
  35. Volij, Oscar, 2002. "A remark on bargaining and non-expected utility," Mathematical Social Sciences, Elsevier, vol. 44(1), pages 17-24, September.
  36. Reny, Philip J. & Robson, Arthur J., 2004. "Reinterpreting mixed strategy equilibria: a unification of the classical and Bayesian views," Games and Economic Behavior, Elsevier, vol. 48(2), pages 355-384, August.
  37. Figuieres, Charles & Tidball, Mabel & Jean-Marie, Alain, 2004. "On the effects of conjectures in a symmetric strategic setting," Research in Economics, Elsevier, vol. 58(1), pages 75-102, March.
  38. Badics, Judit & Gömöri, András, 2004. "Információ és tudás [Information and knowledge]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(2), pages 127-138.
  39. Françoise Forges & József Sákovics, 2022. "Tenable threats when Nash equilibrium is the norm," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(3), pages 589-605, November.
  40. Costa-Gomes, Miguel & Crawford, Vincent P & Broseta, Bruno, 2001. "Cognition and Behavior in Normal-Form Games: An Experimental Study," Econometrica, Econometric Society, vol. 69(5), pages 1193-1235, September.
  41. Barlo, Mehmet & Carmona, Guilherme, 2015. "Strategic behavior in non-atomic games," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 134-144.
  42. Kin Chung Lo, 1999. "Nash equilibrium without mutual knowledge of rationality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(3), pages 621-633.
  43. Asheim, Geir B., 2002. "On the epistemic foundation for backward induction," Mathematical Social Sciences, Elsevier, vol. 44(2), pages 121-144, November.
  44. Van Damme, Eric, 2002. "Strategic equilibrium," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 41, pages 1521-1596, Elsevier.
  45. Velu, C. & Iyer, S., 2008. "The Rationality of Irrationality for Managers: Returns- Based Beliefs and the Traveller’s Dilemma," Cambridge Working Papers in Economics 0826, Faculty of Economics, University of Cambridge.
  46. Lo, Kin Chung, 1996. "Equilibrium in Beliefs under Uncertainty," Journal of Economic Theory, Elsevier, vol. 71(2), pages 443-484, November.
  47. Yuval Heller & Eyal Winter, 2020. "Biased-Belief Equilibrium," American Economic Journal: Microeconomics, American Economic Association, vol. 12(2), pages 1-40, May.
  48. Hirokazu Takizawa, 2017. "Masahiko Aoki’s conception of institutions," Evolutionary and Institutional Economics Review, Springer, vol. 14(2), pages 523-540, December.
  49. Andersson, O. & Argenton, C. & Weibull, J., 2010. "Robustness to Strategic Uncertainty (Revision of DP 2010-70)," Other publications TiSEM ed3ff1ba-756a-4445-8892-c, Tilburg University, School of Economics and Management.
  50. Board, Oliver, 2003. "The not-so-absent-minded driver," Research in Economics, Elsevier, vol. 57(3), pages 189-200, September.
  51. Arthur Dyevre, 2017. "Domestic judicial defiance and the authority of international legal regimes," European Journal of Law and Economics, Springer, vol. 44(3), pages 453-481, December.
  52. Luca Lambertini & Raimondello Orsini, 2013. "On Hotelling's ‘stability in competition’ with network externalities and switching costs," Papers in Regional Science, Wiley Blackwell, vol. 92(4), pages 873-883, November.
  53. Marinacci, Massimo, 2000. "Ambiguous Games," Games and Economic Behavior, Elsevier, vol. 31(2), pages 191-219, May.
  54. Bonanno, Giacomo & Nehring, Klaus, 1998. "On the logic and role of Negative Introspection of Common Belief," Mathematical Social Sciences, Elsevier, vol. 35(1), pages 17-36, January.
  55. Lorenzo Bastianello & Mehmet S. Ismail, 2022. "Rationality and correctness in n-player games," Papers 2209.09847, arXiv.org, revised Dec 2023.
  56. Koji Takamiya & Akira Tanaka, 2006. "Mutual Knowledge of Rationality in the Electronic Mail Game," ISER Discussion Paper 0650, Institute of Social and Economic Research, Osaka University.
  57. Cason, Timothy N. & Saijo, Tatsuyoshi & Sjostrom, Tomas & Yamato, Takehiko, 2006. "Secure implementation experiments: Do strategy-proof mechanisms really work?," Games and Economic Behavior, Elsevier, vol. 57(2), pages 206-235, November.
  58. Vincent P. Crawford, 2003. "Lying for Strategic Advantage: Rational and Boundedly Rational Misrepresentation of Intentions," American Economic Review, American Economic Association, vol. 93(1), pages 133-149, March.
  59. Siyang Xiong, 2022. "Rationalizable Implementation of Social Choice Functions: Complete Characterization," Papers 2202.04885, arXiv.org.
  60. Ziegler, Gabriel & Zuazo-Garin, Peio, 2020. "Strategic cautiousness as an expression of robustness to ambiguity," Games and Economic Behavior, Elsevier, vol. 119(C), pages 197-215.
  61. Florian Brandl & Felix Brandt, 2023. "A Robust Characterization of Nash Equilibrium," Papers 2307.03079, arXiv.org.
  62. Geir B. Asheim & Mark Voorneveld & Jörgen W. Weibull, 2016. "Epistemically Robust Strategy Subsets," Games, MDPI, vol. 7(4), pages 1-16, November.
  63. Ellingsen, Tore & Östling, Robert & Wengström, Erik, 2018. "How does communication affect beliefs in one-shot games with complete information?," Games and Economic Behavior, Elsevier, vol. 107(C), pages 153-181.
  64. Giacomo Bonanno, 2013. "AGM-consistency and perfect Bayesian equilibrium. Part I: definition and properties," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(3), pages 567-592, August.
  65. Feinberg, Yossi, 2005. "Subjective reasoning--solutions," Games and Economic Behavior, Elsevier, vol. 52(1), pages 94-132, July.
  66. Tsakas, Elias, 2014. "Epistemic equivalence of extended belief hierarchies," Games and Economic Behavior, Elsevier, vol. 86(C), pages 126-144.
  67. Asen Ivanov, 2009. "Attitudes to Ambiguity in One-Shot Normal-Form Games: An Experimental Study," Working Papers 0902, VCU School of Business, Department of Economics.
  68. Marimon, R. & McGraltan, E., 1993. "On Adaptative Learning in Strategic Games," Papers 190, Cambridge - Risk, Information & Quantity Signals.
  69. Ferreira J. -L. & Gilboa I. & Maschler M., 1995. "Credible Equilibria in Games with Utilities Changing during the Play," Games and Economic Behavior, Elsevier, vol. 10(2), pages 284-317, August.
  70. Sergiu Hart & Andreu Mas-Colell, 2013. "Uncoupled Dynamics Do Not Lead To Nash Equilibrium," World Scientific Book Chapters, in: Simple Adaptive Strategies From Regret-Matching to Uncoupled Dynamics, chapter 7, pages 153-163, World Scientific Publishing Co. Pte. Ltd..
  71. Halpern, Joseph Y. & Pass, Rafael, 2012. "Iterated regret minimization: A new solution concept," Games and Economic Behavior, Elsevier, vol. 74(1), pages 184-207.
  72. Yun Wang, 2015. "Belief and Higher-Order Belief in the Centipede Games: Theory and Experiment," Working Papers 2015-03-24, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
  73. Robert Grafstein, 2002. "What Rational Political Actors Can Expect," Journal of Theoretical Politics, , vol. 14(2), pages 139-165, April.
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  75. Guilhem Lecouteux, 2018. "Bayesian game theorists and non-Bayesian players," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 25(6), pages 1420-1454, November.
  76. Costa-Gomes, Miguel A., 2002. "A Suggested Interpretation of Some Experimental Results on Preplay Communication," Journal of Economic Theory, Elsevier, vol. 104(1), pages 104-136, May.
  77. Guilherme Carmona, 2003. "A re-interpretation of the concept of nash equilibrium based on the notion of social institutions," Nova SBE Working Paper Series wp425, Universidade Nova de Lisboa, Nova School of Business and Economics.
  78. Xiao Luo & Yi-Chun Chen, 2004. "A Unified Approach to Information, Knowledge, and Stability," Econometric Society 2004 Far Eastern Meetings 472, Econometric Society.
  79. Guilhem Lecouteux, 2023. "The Homer economicus narrative: from cognitive psychology to individual public policies," Journal of Economic Methodology, Taylor & Francis Journals, vol. 30(2), pages 176-187, April.
  80. De Jaegher, Kris, 2008. "Efficient communication in the electronic mail game," Games and Economic Behavior, Elsevier, vol. 63(2), pages 468-497, July.
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  83. Blume, Andreas, 2000. "Coordination and Learning with a Partial Language," Journal of Economic Theory, Elsevier, vol. 95(1), pages 1-36, November.
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