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A Direct Proof of the Existence of Pure Strategy Equilibria in Games with a Continuum of Players

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Cited by:

  1. Askoura, Y., 2011. "The weak-core of a game in normal form with a continuum of players," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 43-47, January.
  2. Batarce, Marco & Ivaldi, Marc, 2014. "Urban travel demand model with endogenous congestion," Transportation Research Part A: Policy and Practice, Elsevier, vol. 59(C), pages 331-345.
  3. Youcef Askoura, 2019. "On the core of normal form games with a continuum of players : a correction," Papers 1903.09819, arXiv.org.
  4. Haomiao Yu, 2014. "Rationalizability in large games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(2), pages 457-479, February.
  5. Lorenzo Rocco, 2001. "Nonatomic Games with Limited Anonymity," Working Papers 39, University of Milano-Bicocca, Department of Economics, revised Nov 2001.
  6. Igal Milchtaich, 2005. "Topological Conditions for Uniqueness of Equilibrium in Networks," Mathematics of Operations Research, INFORMS, vol. 30(1), pages 225-244, February.
  7. D'Agata, Antonio, 2005. "Star-shapedness of Richter-Aumann integral on a measure space with atoms: theory and economic applications," Journal of Economic Theory, Elsevier, vol. 120(1), pages 108-128, January.
  8. Jianwei Wang & Yongchao Zhang, 2012. "Purification, saturation and the exact law of large numbers," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(3), pages 527-545, August.
  9. Corneo, Giacomo, 2005. "Work and television," European Journal of Political Economy, Elsevier, vol. 21(1), pages 99-113, March.
  10. Khan, M. Ali & Rath, Kali P. & Sun, Yeneng, 1997. "On the Existence of Pure Strategy Equilibria in Games with a Continuum of Players," Journal of Economic Theory, Elsevier, vol. 76(1), pages 13-46, September.
  11. Askoura, Y., 2017. "On the core of normal form games with a continuum of players," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 32-42.
  12. Robin Nicole & Peter Sollich, 2017. "Dynamical selection of Nash equilibria using Experience Weighted Attraction Learning: emergence of heterogeneous mixed equilibria," Papers 1706.09763, arXiv.org.
  13. David, Quentin & Foucart, Renaud, 2014. "Modal choice and optimal congestion," Regional Science and Urban Economics, Elsevier, vol. 48(C), pages 12-20.
  14. Camacho, Carmen & Kamihigashi, Takashi & Sağlam, Çağrı, 2018. "Robust comparative statics for non-monotone shocks in large aggregative games," Journal of Economic Theory, Elsevier, vol. 174(C), pages 288-299.
  15. Roger Guesnerie & Pedro Jara-Moroni, 2007. "Expectational coordination in a class of economic models: Strategic substitutabilities versus strategic complementarities," PSE Working Papers halshs-00587837, HAL.
  16. Flam, Sjur Didrik, 1998. "Averaged predictions and the learning of equilibrium play," Journal of Economic Dynamics and Control, Elsevier, vol. 22(6), pages 833-848, June.
  17. Wei He & Yeneng Sun, 2018. "Conditional expectation of correspondences and economic applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(2), pages 265-299, August.
  18. Sofía Correa & Juan Torres-Martínez, 2014. "Essential equilibria of large generalized games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(3), pages 479-513, November.
  19. Karni, Edi & Levin, Dan, 1994. "Social Attributes and Strategic Equilibrium: A Restaurant Pricing Game," Journal of Political Economy, University of Chicago Press, vol. 102(4), pages 822-840, August.
  20. Balder, Erik J., 2002. "A Unifying Pair of Cournot-Nash Equilibrium Existence Results," Journal of Economic Theory, Elsevier, vol. 102(2), pages 437-470, February.
  21. Jian Yang, 2023. "Nonatomic game with general preferences over returns," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(3), pages 861-889, September.
  22. Barelli, Paulo & Duggan, John, 2015. "Extremal choice equilibrium with applications to large games, stochastic games, & endogenous institutions," Journal of Economic Theory, Elsevier, vol. 155(C), pages 95-130.
  23. Rauh, Michael T., 1997. "A Model of Temporary Search Market Equilibrium," Journal of Economic Theory, Elsevier, vol. 77(1), pages 128-153, November.
  24. Blonski, Matthias, 2005. "The women of Cairo: Equilibria in large anonymous games," Journal of Mathematical Economics, Elsevier, vol. 41(3), pages 253-264, April.
  25. Lorenzo Rocco, 2002. "Pricing of an Endogenous Peak-Load," Working Papers 54, University of Milano-Bicocca, Department of Economics, revised Aug 2002.
  26. Cerreia-Vioglio, Simone & Maccheroni, Fabio & Schmeidler, David, 2022. "Equilibria of nonatomic anonymous games," Games and Economic Behavior, Elsevier, vol. 135(C), pages 110-131.
  27. Guilherme Carmona, 2003. "Nash and Limit Equilibria of Games with a Continuum of Players," Game Theory and Information 0311004, University Library of Munich, Germany.
  28. , M. & , Glen & White, Alexander, 2013. "Walrasian equilibrium in large, quasi-linear markets," Theoretical Economics, Econometric Society, vol. 8(2), May.
  29. Jara-Moroni, Pedro, 2012. "Rationalizability in games with a continuum of players," Games and Economic Behavior, Elsevier, vol. 75(2), pages 668-684.
  30. Jara-Moroni, Pedro, 2018. "Rationalizability and mixed strategies in large games," Economics Letters, Elsevier, vol. 162(C), pages 153-156.
  31. Sjur Didrik Flåm & Elmar G. Wolfstetter, 2015. "Liability Insurance and Choice of Cars: A Large Game Approach," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(6), pages 943-963, December.
  32. Guilherme Carmona, 2009. "A remark on the measurability of large games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(3), pages 491-494, June.
  33. Riascos Villegas, Alvaro & Torres-Martínez, Juan Pablo, 2012. "On the existence of pure strategy equilibria in large generalized games with atomic players," MPRA Paper 36626, University Library of Munich, Germany.
  34. Roughgarden, Tim & Tardos, Eva, 2004. "Bounding the inefficiency of equilibria in nonatomic congestion games," Games and Economic Behavior, Elsevier, vol. 47(2), pages 389-403, May.
  35. Alvaro Riascos V. & Juan Pablo Torres-Martínez, 2010. "A direct proof of the existence of pure strategy equilibria in large generalized games with atomic players," Working Papers wp311, University of Chile, Department of Economics.
  36. Blonski, Matthias, 2000. "Characterization of pure strategy equilibria in finite anonymous games," Journal of Mathematical Economics, Elsevier, vol. 34(2), pages 225-233, October.
  37. Sung-Pil Hong & Kyung Min Kim & Suk-Joon Ko, 2021. "Estimating heterogeneous agent preferences by inverse optimization in a randomized nonatomic game," Annals of Operations Research, Springer, vol. 307(1), pages 207-228, December.
  38. Roger Guesnerie & Pedro Jara-Moroni, 2011. "Expectational coordination in simple economic contexts," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(2), pages 205-246, June.
  39. Pichler, Michael, 2011. "The economics of cultural formation of preferences," Center for Mathematical Economics Working Papers 431, Center for Mathematical Economics, Bielefeld University.
  40. Kolpin, Van, 2009. "Pure strategy equilibria in large demographic summary games," Mathematical Social Sciences, Elsevier, vol. 58(1), pages 132-141, July.
  41. Jian Yang, 2021. "Analysis of Markovian Competitive Situations Using Nonatomic Games," Dynamic Games and Applications, Springer, vol. 11(1), pages 184-216, March.
  42. Takahiro, Watanabe, 1997. "A parimutuel system with two horses and a continuum of bettors," Journal of Mathematical Economics, Elsevier, vol. 28(1), pages 85-100, August.
  43. Canhui Hong, 2018. "Flight-to-quality debt crises," 2018 Meeting Papers 166, Society for Economic Dynamics.
  44. Riascos Villegas, Alvaro & Torres-Martínez, Juan Pablo, 2013. "On pure strategy equilibria in large generalized games," MPRA Paper 46840, University Library of Munich, Germany.
  45. Igal Milchtaich, 2000. "Generic Uniqueness of Equilibrium in Large Crowding Games," Mathematics of Operations Research, INFORMS, vol. 25(3), pages 349-364, August.
  46. Gad Allon & Achal Bassamboo & Eren B. Çil, 2012. "Large-Scale Service Marketplaces: The Role of the Moderating Firm," Management Science, INFORMS, vol. 58(10), pages 1854-1872, October.
  47. Khan, M. Ali & Sun, Yeneng, 1995. "Extremal structures and symmetric equilibria with countable actions," Journal of Mathematical Economics, Elsevier, vol. 24(3), pages 239-248.
  48. Khan, M. Ali & Qiao, Lei & Rath, Kali P. & Sun, Yeneng, 2020. "Modeling large societies: Why countable additivity is necessary," Journal of Economic Theory, Elsevier, vol. 189(C).
  49. Carmona, Guilherme & Podczeck, Konrad, 2014. "Existence of Nash equilibrium in games with a measure space of players and discontinuous payoff functions," Journal of Economic Theory, Elsevier, vol. 152(C), pages 130-178.
  50. Wu, Bin & Xu, Hanping, 2022. "Pareto-undominated and socially-maximal Nash equilibria with coarser traits," Economics Letters, Elsevier, vol. 215(C).
  51. Oran Richman & Nahum Shimkin, 2007. "Topological Uniqueness of the Nash Equilibrium for Selfish Routing with Atomic Users," Mathematics of Operations Research, INFORMS, vol. 32(1), pages 215-232, February.
  52. Lorenzo Rocco, 2007. "Anonymity in nonatomic games," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 54(2), pages 225-247, June.
  53. Balaraman Rajan & Tolga Tezcan & Abraham Seidmann, 2019. "Service Systems with Heterogeneous Customers: Investigating the Effect of Telemedicine on Chronic Care," Management Science, INFORMS, vol. 65(3), pages 1236-1267, March.
  54. Yang, Jian, 2022. "A Bayesian nonatomic game and its applicability to finite-player situations," Journal of Mathematical Economics, Elsevier, vol. 102(C).
  55. Corneo, Giacomo, 2009. "Symbolic Values, Value Formation and Interpersonal Relations," IZA Discussion Papers 4315, Institute of Labor Economics (IZA).
  56. An, Yonghong & Zhang, Zhixiang, 2012. "Congestion with heterogeneous commuters," Economic Modelling, Elsevier, vol. 29(3), pages 557-565.
  57. Xiang Sun & Yongchao Zhang, 2015. "Pure-strategy Nash equilibria in nonatomic games with infinite-dimensional action spaces," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(1), pages 161-182, January.
  58. Sofía Correa & Juan Pablo Torres-Martínez, 2012. "Essential Stability for Large Generalized Games," Working Papers wp362, University of Chile, Department of Economics.
  59. Khan, M. Ali & Sun, Yeneng, 1999. "Non-cooperative games on hyperfinite Loeb spaces1," Journal of Mathematical Economics, Elsevier, vol. 31(4), pages 455-492, May.
  60. Lychagin, Sergey, 2016. "Spillovers, absorptive capacity and agglomeration," Journal of Urban Economics, Elsevier, vol. 96(C), pages 17-35.
  61. Blonski, Matthias, 1999. "Anonymous Games with Binary Actions," Games and Economic Behavior, Elsevier, vol. 28(2), pages 171-180, August.
  62. Le Breton, Michel & Weber, Shlomo, 1997. "On existence of undominated pure strategy Nash equilibria in anonymous nonatomic games," Economics Letters, Elsevier, vol. 56(2), pages 171-175, October.
  63. Frédéric Meunier & Thomas Pradeau, 2019. "Computing solutions of the multiclass network equilibrium problem with affine cost functions," Annals of Operations Research, Springer, vol. 274(1), pages 447-469, March.
  64. Erhan Bayraktar & Alexander Munk, 2016. "High-Roller Impact: A Large Generalized Game Model of Parimutuel Wagering," Papers 1605.03653, arXiv.org, revised Mar 2017.
  65. Guilherme Carmona, 2006. "On a theorem by Mas-Colell," Nova SBE Working Paper Series wp485, Universidade Nova de Lisboa, Nova School of Business and Economics.
  66. Khan, M. Ali & Yeneng, Sun, 1995. "Pure strategies in games with private information," Journal of Mathematical Economics, Elsevier, vol. 24(7), pages 633-653.
  67. Jacquot, Paulin & Wan, Cheng, 2022. "Nonatomic aggregative games with infinitely many types," European Journal of Operational Research, Elsevier, vol. 301(3), pages 1149-1165.
  68. Paulo Barelli & John Duggan, 2011. "Extremal Choice Equilibrium: Existence and Purification with Infinite-Dimensional Externalities," RCER Working Papers 567, University of Rochester - Center for Economic Research (RCER).
  69. Youcef Askoura, 2011. "The weak-core of a game in normal form with a continuum of players," Post-Print hal-01982380, HAL.
  70. Kim, Sung H., 1997. "Continuous Nash equilibria," Journal of Mathematical Economics, Elsevier, vol. 28(1), pages 69-84, August.
  71. Azrieli, Yaron, 2007. "Thinking categorically about others: A conjectural equilibrium approach," MPRA Paper 3843, University Library of Munich, Germany.
  72. Régis Renault & Alain Trannoy, 2004. "Assessing the extent of strategic manipulation for the average voting rule," IDEP Working Papers 0403, Institut d'economie publique (IDEP), Marseille, France.
  73. Filipe Martins-da-Rocha, V. & Topuzu, Mihaela, 2008. "Cournot-Nash equilibria in continuum games with non-ordered preferences," Journal of Economic Theory, Elsevier, vol. 140(1), pages 314-327, May.
  74. Correa, Sofía & Torres-Martínez, Juan Pablo, 2012. "Essential stability for large generalized games," MPRA Paper 36625, University Library of Munich, Germany.
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