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A Structure Theorem for Rationalizability with Application to Robust Predictions of Refinements

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Cited by:

  1. Dirk Bergemann & Stephen Morris, 2013. "Robust Predictions in Games With Incomplete Information," Econometrica, Econometric Society, vol. 81(4), pages 1251-1308, July.
  2. Aviad Heifetz & Willemien Kets, 2013. "Robust Multiplicity with a Grain of Naiveté," Discussion Papers 1573, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  3. R Jain & V Korpela & M Lombardi, 2021. "An Iterative Approach to Rationalizable Implementation," IEAS Working Paper : academic research 21-A001, Institute of Economics, Academia Sinica, Taipei, Taiwan.
  4. George-Marios Angeletos & Chen Lian, 2018. "Forward Guidance without Common Knowledge," American Economic Review, American Economic Association, vol. 108(9), pages 2477-2512, September.
  5. Morris, Stephen & Shin, Hyun Song & Yildiz, Muhamet, 2016. "Common belief foundations of global games," Journal of Economic Theory, Elsevier, vol. 163(C), pages 826-848.
  6. , & ,, 2008. "Contagion through learning," Theoretical Economics, Econometric Society, vol. 3(4), December.
  7. Eric Hoffmann, 2013. "Global Games Selection in Games with Strategic Substitutes or Complements," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201308, University of Kansas, Department of Economics.
  8. Oyama, Daisuke & Tercieux, Olivier, 2012. "On the strategic impact of an event under non-common priors," Games and Economic Behavior, Elsevier, vol. 74(1), pages 321-331.
  9. Oyama, Daisuke & Tercieux, Olivier, 2010. "Robust equilibria under non-common priors," Journal of Economic Theory, Elsevier, vol. 145(2), pages 752-784, March.
  10. Tang, Qianfeng, 2015. "Hierarchies of beliefs and the belief-invariant Bayesian solution," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 111-116.
  11. V. Bhaskar & Caroline Thomas, 2019. "The Culture of Overconfidence," American Economic Review: Insights, American Economic Association, vol. 1(1), pages 95-110, June.
  12. Philippe Aghion & Drew Fudenberg & Richard T. Holden, 2009. "Subgame Perfect Implementation with Almost Perfect Information and the Hold-Up Problem," NBER Working Papers 15167, National Bureau of Economic Research, Inc.
  13. Battigalli Pierpaolo & Di Tillio Alfredo & Grillo Edoardo & Penta Antonio, 2011. "Interactive Epistemology and Solution Concepts for Games with Asymmetric Information," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-40, March.
  14. Müller, Christoph, 2020. "Robust implementation in weakly perfect Bayesian strategies," Journal of Economic Theory, Elsevier, vol. 189(C).
  15. , & ,, 2013. "Selection-free predictions in global games with endogenous information and multiple equilibria," Theoretical Economics, Econometric Society, vol. 8(3), September.
  16. Stephen Morris & Satoru Takahashi & Olivier Tercieux, 2012. "Robust Rationalizability Under Almost Common Certainty Of Payoffs," The Japanese Economic Review, Japanese Economic Association, vol. 63(1), pages 57-67, March.
  17. Strzalecki, Tomasz, 2014. "Depth of reasoning and higher order beliefs," Journal of Economic Behavior & Organization, Elsevier, vol. 108(C), pages 108-122.
  18. Mira Frick & Ryota Iijima & Yuhta Ishii, 2021. "Learning Efficiency of Multi-Agent Information Structures," Cowles Foundation Discussion Papers 2299, Cowles Foundation for Research in Economics, Yale University.
  19. 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.
  20. Chen, Yi-Chun & Mueller-Frank, Manuel & Pai, Mallesh M., 2022. "Continuous implementation with direct revelation mechanisms," Journal of Economic Theory, Elsevier, vol. 201(C).
  21. Stauber, Ronald, 2011. "Knightian games and robustness to ambiguity," Journal of Economic Theory, Elsevier, vol. 146(1), pages 248-274, January.
  22. Annie Liang, 2019. "Games of Incomplete Information Played By Statisticians," Papers 1910.07018, arXiv.org, revised Jul 2020.
  23. Barbera, Salvador & Jackson, Matthew O., 2020. "A Model of Protests, Revolution, and Information," Quarterly Journal of Political Science, now publishers, vol. 15(3), pages 297-335, July.
  24. Frick, Mira & Romm, Assaf, 2015. "Rational behavior under correlated uncertainty," Journal of Economic Theory, Elsevier, vol. 160(C), pages 56-71.
  25. Annie Liang, 2016. "Games of Incomplete Information Played by Statisticians," PIER Working Paper Archive 16-028, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 Jan 2016.
  26. Weinstein, Jonathan & Yildiz, Muhamet, 2016. "Reputation without commitment in finitely-repeated games," Theoretical Economics, Econometric Society, vol. 11(1), January.
  27. Ruiz Palazuelos, Sofía, 2021. "Network Perception in Network Games," MPRA Paper 115212, University Library of Munich, Germany, revised 21 Jun 0022.
  28. George-Marios Angeletos, 2018. "Frictional Coordination," Journal of the European Economic Association, European Economic Association, vol. 16(3), pages 563-603.
  29. George‐Marios Angeletos & Fabrice Collard & Harris Dellas, 2018. "Quantifying Confidence," Econometrica, Econometric Society, vol. 86(5), pages 1689-1726, September.
  30. Antonio Penta & Peio Zuazo-Garin, 2022. "Rationalizability, Observability, and Common Knowledge," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 89(2), pages 948-975.
  31. Qin, Cheng-Zhong & Yang, Chun-Lei, 2009. "An Explicit Approach to Modeling Finite-Order Type Spaces and Applications," University of California at Santa Barbara, Economics Working Paper Series qt8hq7j89k, Department of Economics, UC Santa Barbara.
  32. Takahashi, Satoru & Tercieux, Olivier, 2020. "Robust equilibrium outcomes in sequential games under almost common certainty of payoffs," Journal of Economic Theory, Elsevier, vol. 188(C).
  33. Kota Murayama, 2020. "Robust predictions under finite depth of reasoning," The Japanese Economic Review, Springer, vol. 71(1), pages 59-84, January.
  34. Rossella Argenziano & Itzhak Gilboa, 2012. "History as a coordination device," Theory and Decision, Springer, vol. 73(4), pages 501-512, October.
  35. Frankel, David M., 2017. "Efficient ex-ante stabilization of firms," Journal of Economic Theory, Elsevier, vol. 170(C), pages 112-144.
  36. Willemien Kets, 2014. "Finite Depth of Reasoning and Equilibrium Play in Games with Incomplete Information," Discussion Papers 1569, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  37. Koriyama, Yukio & Ozkes, Ali I., 2021. "Inclusive cognitive hierarchy," Journal of Economic Behavior & Organization, Elsevier, vol. 186(C), pages 458-480.
  38. Carl Heese & Stephan Lauermann, 2021. "Persuasion and Information Aggregation in Elections," ECONtribute Discussion Papers Series 112, University of Bonn and University of Cologne, Germany.
  39. Hoffmann, Eric J. & Sabarwal, Tarun, 2019. "Global games with strategic complements and substitutes," Games and Economic Behavior, Elsevier, vol. 118(C), pages 72-93.
  40. Jain, Ritesh & Lombardi, Michele, 2022. "Continuous virtual implementation: Complete information," Journal of Mathematical Economics, Elsevier, vol. 99(C).
  41. Andrew Koh & Ricky Li & Kei Uzui, 2024. "Inertial Coordination Games," Papers 2409.08145, arXiv.org.
  42. Ing-Haw Cheng & Alice Hsiaw, 2022. "Reporting Sexual Misconduct in the #MeToo Era," American Economic Journal: Microeconomics, American Economic Association, vol. 14(4), pages 761-803, November.
  43. Stephen Morris & Ming Yang, 2016. "Coordination and Continuous Choice," Working Papers 087_2017, Princeton University, Department of Economics, Econometric Research Program..
  44. Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2010. "Network Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 218-244.
  45. Angeletos, G.-M. & Lian, C., 2016. "Incomplete Information in Macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1065-1240, Elsevier.
  46. repec:cwl:cwldpp:1821rrr is not listed on IDEAS
  47. Frankel, David M., 2015. "Insuring Customers of a Unionized Firm Against Loss of Network Benefits," Staff General Research Papers Archive 38580, Iowa State University, Department of Economics.
  48. Pathikrit Basu, 2023. "Mechanism design with model specification," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(2), pages 263-276, August.
  49. Weinstein, Jonathan & Yildiz, Muhamet, 2011. "Sensitivity of equilibrium behavior to higher-order beliefs in nice games," Games and Economic Behavior, Elsevier, vol. 72(1), pages 288-300, May.
  50. Lu, Shih En, 2017. "Coordination-free equilibria in cheap talk games," Journal of Economic Theory, Elsevier, vol. 168(C), pages 177-208.
  51. Davide Cianciaruso & Fabrizio Germano, 2011. "Quotient Spaces of Boundedly Rational Types," Working Papers 582, Barcelona School of Economics.
  52. Yildiz, Muhamet, 2015. "Invariance to representation of information," Games and Economic Behavior, Elsevier, vol. 94(C), pages 142-156.
  53. de Clippel, Geoffroy & Saran, Rene & Serrano, Roberto, 2023. "Continuous level-k mechanism design," Games and Economic Behavior, Elsevier, vol. 140(C), pages 481-501.
  54. ,, 2013. "On the structure of rationalizability for arbitrary spaces of uncertainty," Theoretical Economics, Econometric Society, vol. 8(2), May.
  55. Mariann Ollár & Antonio Penta, 2019. "Implementation via transfers with identical but unknown distributions," Economics Working Papers 1676, Department of Economics and Business, Universitat Pompeu Fabra.
  56. Stephen Morris & Muhamet Yildiz, 2019. "Crises: Equilibrium Shifts and Large Shocks," American Economic Review, American Economic Association, vol. 109(8), pages 2823-2854, August.
  57. Chen, Yi-Chun & Xiong, Siyang, 2013. "The e-mail game phenomenon," Games and Economic Behavior, Elsevier, vol. 80(C), pages 147-156.
  58. Catonini, Emiliano & Penta, Antonio, 2022. "Backward Induction Reasoning beyond Backward Induction," TSE Working Papers 22-1298, Toulouse School of Economics (TSE).
  59. Fabrizio Germano & Peio Zuazo-Garin, 2015. "Uncertain rationality and robustness in games with incomplete information," Economics Working Papers 1470, Department of Economics and Business, Universitat Pompeu Fabra.
  60. , & , & , & ,, 2010. "Uniform topologies on types," Theoretical Economics, Econometric Society, vol. 5(3), September.
  61. Chen, Yi-Chun, 2012. "A structure theorem for rationalizability in the normal form of dynamic games," Games and Economic Behavior, Elsevier, vol. 75(2), pages 587-597.
  62. Beggs, A.W., 2015. "Regularity and robustness in monotone Bayesian games," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 145-158.
  63. Battigalli, Pierpaolo & Siniscalchi, Marciano, 2007. "Interactive epistemology in games with payoff uncertainty," Research in Economics, Elsevier, vol. 61(4), pages 165-184, December.
  64. Ronald Stauber, 2014. "A framework for robustness to ambiguity of higher-order beliefs," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(3), pages 525-550, August.
  65. Carroll, Gabriel, 2016. "Informationally robust trade and limits to contagion," Journal of Economic Theory, Elsevier, vol. 166(C), pages 334-361.
  66. Blume, Andreas, 2018. "Failure of common knowledge of language in common-interest communication games," Games and Economic Behavior, Elsevier, vol. 109(C), pages 132-155.
  67. Pavan, Alessandro & Vives, Xavier, 2015. "Information, Coordination, and Market Frictions: An Introduction," Journal of Economic Theory, Elsevier, vol. 158(PB), pages 407-426.
  68. Weinstein, Jonathan & Yildiz, Muhamet, 2017. "Interim correlated rationalizability in infinite games," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 82-87.
  69. Sergei Izmalkov & Muhamet Yildiz, 2010. "Investor Sentiments," American Economic Journal: Microeconomics, American Economic Association, vol. 2(1), pages 21-38, February.
  70. Yi-Chun Chen & Alfredo Di Tillio & Eduardo Faingold & Siyang Xiong, 2012. "The Strategic Impact of Higher-Order Beliefs," Levine's Working Paper Archive 786969000000000517, David K. Levine.
  71. Qin, Cheng-Zhong & Yang, Chun-Lei, 2013. "Finite-order type spaces and applications," Journal of Economic Theory, Elsevier, vol. 148(2), pages 689-719.
  72. Frankel, David M., 2014. "Optimal Insurance for Small Stakeholders," Staff General Research Papers Archive 37551, Iowa State University, Department of Economics.
  73. Dekel, Eddie & Siniscalchi, Marciano, 2015. "Epistemic Game Theory," Handbook of Game Theory with Economic Applications,, Elsevier.
  74. Kyungmin Kim & Antonio Penta, 2012. "A Robustly Efficient Auction," Carlo Alberto Notebooks 248, Collegio Carlo Alberto.
  75. Kets, Willemien, 2011. "Robustness of equilibria in anonymous local games," Journal of Economic Theory, Elsevier, vol. 146(1), pages 300-325, January.
  76. Martin Hellwig, 2017. "Probability Measures on Product Spaces with Uniform Metrics," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2017_06, Max Planck Institute for Research on Collective Goods, revised May 2023.
  77. Marlats, Chantal, 2019. "Perturbed finitely repeated games," Mathematical Social Sciences, Elsevier, vol. 98(C), pages 39-46.
  78. Aviad Heifetz, 2019. "Robust multiplicity with (transfinitely) vanishing naiveté," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(4), pages 1277-1296, December.
  79. Germano, Fabrizio & Weinstein, Jonathan & Zuazo-Garin, Peio, 2020. "Uncertain rationality, depth of reasoning and robustness in games with incomplete information," Theoretical Economics, Econometric Society, vol. 15(1), January.
  80. Lipman, Barton L., 2010. "Finite order implications of common priors in infinite models," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 56-70, January.
  81. Eric J. Hoffmann & Tarun Sabarwal, 2018. "Monotone Global Games," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201903, University of Kansas, Department of Economics.
  82. Mathevet, Laurent, 2014. "Beliefs and rationalizability in games with complementarities," Games and Economic Behavior, Elsevier, vol. 85(C), pages 252-271.
  83. Jackson, Matthew O. & Rodriguez-Barraquer, Tomas & Tan, Xu, 2012. "Epsilon-equilibria of perturbed games," Games and Economic Behavior, Elsevier, vol. 75(1), pages 198-216.
  84. Miura, Shintaro & Yamashita, Takuro, 2018. "Divergent Interpretation and Divergent Prediction in Communication," TSE Working Papers 18-939, Toulouse School of Economics (TSE).
  85. Carmona, Guilherme, 2018. "On the generic robustness of solution concepts to incomplete information," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 13-18.
  86. Weinstein, Jonathan & Yildiz, Muhamet, 2007. "Impact of higher-order uncertainty," Games and Economic Behavior, Elsevier, vol. 60(1), pages 200-212, July.
  87. Denti, Tommaso, 2023. "Unrestricted information acquisition," Theoretical Economics, Econometric Society, vol. 18(3), July.
  88. Tsoy, Anton, 2018. "Alternating-offer bargaining with the global games information structure," Theoretical Economics, Econometric Society, vol. 13(2), May.
  89. Ritesh Jain & Michele Lombardi, 2023. "On Interim Rationalizable Monotonicity," Working Papers 202315, University of Liverpool, Department of Economics.
  90. Ori Haimanko & Atsushi Kajii, 2016. "Approximate robustness of equilibrium to incomplete information," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 839-857, November.
  91. Kota Murayama, 2015. "Robust Predictions under Finite Depth of Reasoning," Discussion Paper Series DP2015-28, Research Institute for Economics & Business Administration, Kobe University.
  92. Di Tillio, Alfredo, 2011. "A robustness result for rationalizable implementation," Games and Economic Behavior, Elsevier, vol. 72(1), pages 301-305, May.
  93. Cy Maor & Eilon Solan, 2015. "Cooperation under incomplete information on the discount factors," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 321-346, May.
  94. Ronald Stauber, 2013. "A Framework for Robustness to Ambiguity of Higher-Order Beliefs," ANU Working Papers in Economics and Econometrics 2013-602, Australian National University, College of Business and Economics, School of Economics.
  95. Chen, Yi-Chun & Takahashi, Satoru & Xiong, Siyang, 2014. "The robust selection of rationalizability," Journal of Economic Theory, Elsevier, vol. 151(C), pages 448-475.
  96. Munther A. Dahleh & Alireza Tahbaz-Salehi & John N. Tsitsiklis & Spyros I. Zoumpoulis, 2016. "Technical Note—Coordination with Local Information," Operations Research, INFORMS, vol. 64(3), pages 622-637, June.
  97. Yuliyan Mitkov, 2024. "Private Sunspots in Games of Coordinated Attack," ECONtribute Discussion Papers Series 295, University of Bonn and University of Cologne, Germany.
  98. Dirk Bergemann & Tibor Heumann & Stephen Morris, 2021. "Information, market power, and price volatility," RAND Journal of Economics, RAND Corporation, vol. 52(1), pages 125-150, March.
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  100. Suehyun Kwon, 2019. "Behavioral Players in a Game," CESifo Working Paper Series 7504, CESifo.
  101. Jann, Ole & Schottmüller, Christoph, 2021. "Regime change games with an active defender," Games and Economic Behavior, Elsevier, vol. 129(C), pages 96-113.
  102. Penta, Antonio, 2015. "Robust dynamic implementation," Journal of Economic Theory, Elsevier, vol. 160(C), pages 280-316.
  103. Chen, Yi-Chun & Takahashi, Satoru & Xiong, Siyang, 2022. "Robust refinement of rationalizability with arbitrary payoff uncertainty," Games and Economic Behavior, Elsevier, vol. 136(C), pages 485-504.
  104. Heifetz, Aviad & Kets, Willemien, 2018. "Robust multiplicity with a grain of naiveté," Theoretical Economics, Econometric Society, vol. 13(1), January.
  105. Yi-Chun Chen & Alfredo Di Tillio & Eduardo Faingold & Siyang Xiong, 2017. "Characterizing the Strategic Impact of Misspecified Beliefs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(4), pages 1424-1471.
  106. Daisuke Oyama & Satoru Takahashi, 2020. "Generalized Belief Operator and Robustness in Binary‐Action Supermodular Games," Econometrica, Econometric Society, vol. 88(2), pages 693-726, March.
  107. Miura, Shintaro & Yamashita, Takuro, 2020. "Maximal miscommunication," Economics Letters, Elsevier, vol. 188(C).
  108. Alan Beggs & A.W. Beggs, 2011. "Regularity and Stability in Monotone Bayesian Games," Economics Series Working Papers 587, University of Oxford, Department of Economics.
  109. Yang, Ming, 2015. "Coordination with flexible information acquisition," Journal of Economic Theory, Elsevier, vol. 158(PB), pages 721-738.
  110. Emiliano Catonini & Antonio Penta, 2022. "Backward Induction Reasoning beyond Backward Induction," Working Papers 1315, Barcelona School of Economics.
  111. Ritesh Jain and & Michele Lombardi, 2022. "Interim Rationalizable (and Bayes-Nash) Implementation of Functions: A full Characterization," CSEF Working Papers 645, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
  112. Zaki Wahhaj, 2012. "Social Norms, Higher-Order Beliefs and the Emperor's New Clothes," Studies in Economics 1210, School of Economics, University of Kent.
  113. , & ,, 2011. "Robustness to incomplete information in repeated games," Theoretical Economics, Econometric Society, vol. 6(1), January.
  114. Geoffroy de Clippel & Rene Saran & Roberto Serrano, 2014. "Mechanism Design with Bounded Depth of Reasoning and Small Modeling Mistakes," Working Papers 2014-7, Brown University, Department of Economics.
  115. Oury, Marion, 2015. "Continuous implementation with local payoff uncertainty," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 656-677.
  116. Christoph Diehl & Christoph Kuzmics, 2021. "The (non-)robustness of influential cheap talk equilibria when the sender’s preferences are state independent," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(4), pages 911-925, December.
  117. Emiliano Cantonini & Antonio Penta, 2022. "Backward induction reasoning beyond backward induction," Economics Working Papers 1815, Department of Economics and Business, Universitat Pompeu Fabra.
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