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The Set of Nash Equilibria of a Supermodular Game Is a Complete Lattice

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Cited by:

  1. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2007. "Combinatorial Integer Labeling Thorems on Finite Sets with an Application to Discrete Systems of Nonlinear Equations," Discussion Paper 2007-88, Tilburg University, Center for Economic Research.
  2. Cao, Zhigang & Chen, Xujin & Qin, Cheng-Zhong & Wang, Changjun & Yang, Xiaoguang, 2018. "Embedding games with strategic complements into games with strategic substitutes," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 45-51.
  3. Filippo L. Calciano, 2009. "Nash equilibria of games with monotonic best replies," Departmental Working Papers of Economics - University 'Roma Tre' 0108, Department of Economics - University Roma Tre.
  4. Manjira Datta & Leonard Mirman & Olivier F. Morand & Kevin Reffett, 2001. "Monotone Methods for Distorted Economies," Working papers 2001-03, University of Connecticut, Department of Economics.
  5. Jackson, Matthew O. & Zenou, Yves, 2015. "Games on Networks," Handbook of Game Theory with Economic Applications,, Elsevier.
  6. Morand, Olivier F. & Reffett, Kevin L., 2003. "Existence and uniqueness of equilibrium in nonoptimal unbounded infinite horizon economies," Journal of Monetary Economics, Elsevier, vol. 50(6), pages 1351-1373, September.
  7. Echenique, Federico, 2004. "Extensive-form games and strategic complementarities," Games and Economic Behavior, Elsevier, vol. 46(2), pages 348-364, February.
  8. Federico Echenique, 2002. "Comparative Statics by Adaptive Dynamics and the Correspondence Principle," Econometrica, Econometric Society, vol. 70(2), pages 833-844, March.
  9. Natalia Lazzati & John K.-H. Quah & Koji Shirai, 2015. "A revealed preference theory of monotone choice and strategic complementarity," Discussion Paper Series 138, School of Economics, Kwansei Gakuin University, revised Dec 2015.
  10. Echenique, Federico, 2004. "A characterization of strategic complementarities," Games and Economic Behavior, Elsevier, vol. 46(2), pages 325-347, February.
  11. Tercieux, O.R.C. & Voorneveld, M., 2005. "The Cutting Power of Preparation," Other publications TiSEM 75173341-627f-4eb2-91f1-0, Tilburg University, School of Economics and Management.
  12. Takashi Kamihigashi & Kerim Keskin & Çağrı Sağlam, 2017. "Organizational Refinements of Nash Equilibrium," Discussion Paper Series DP2017-25, Research Institute for Economics & Business Administration, Kobe University.
  13. Burkhard C. Schipper, 2021. "The evolutionary stability of optimism, pessimism, and complete ignorance," Theory and Decision, Springer, vol. 90(3), pages 417-454, May.
  14. Blume, Lawrence, 2002. "Stigma and Social Control," Economics Series 119, Institute for Advanced Studies.
  15. Andrew J. Monaco & Tarun Sabarwal, 2016. "Games with strategic complements and substitutes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 65-91, June.
  16. Federico Echenique, 2005. "A short and constructive proof of Tarski’s fixed-point theorem," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(2), pages 215-218, June.
  17. Roy, Sunanda & Sabarwal, Tarun, 2010. "Monotone comparative statics for games with strategic substitutes," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 793-806, September.
  18. Manjira Datta & Kevin L. Reffett, 2005. "Isotone Recursive Methods: the Case of Homogeneous Agents," Tinbergen Institute Discussion Papers 05-012/2, Tinbergen Institute.
  19. Echenique, Federico, 2007. "Finding all equilibria in games of strategic complements," Journal of Economic Theory, Elsevier, vol. 135(1), pages 514-532, July.
  20. Manjira Datta & Leonard Mirman & Olivier Morand & Kevin Reffett, 2002. "Monotone Methods for Markovian Equilibrium in Dynamic Economies," Annals of Operations Research, Springer, vol. 114(1), pages 117-144, August.
  21. repec:spr:compst:v:71:y:2010:i:1:p:85-101 is not listed on IDEAS
  22. Federico Echenique, 2003. "Mixed equilibria in games of strategic complementarities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(1), pages 33-44, August.
  23. Łukasz Balbus & Kevin Reffett & Łukasz Woźny, 2013. "Markov Stationary Equilibria in Stochastic Supermodular Games with Imperfect Private and Public Information," Dynamic Games and Applications, Springer, vol. 3(2), pages 187-206, June.
  24. CALCIANO, Filippo L., 2007. "Games with complementarities," LIDAM Discussion Papers CORE 2007016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  25. Anne-Christine Barthel & Tarun Sabarwal, 2018. "Directional monotone comparative statics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(3), pages 557-591, October.
  26. Łukasz Balbus & Paweł Dziewulski & Kevin Reffett & Łukasz Woźny, 2015. "Differential information in large games with strategic complementarities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(1), pages 201-243, May.
  27. Kevin Reffett & Olivier Morand, "undated". "Existence and Uniqueness of Equilibrium in Nonoptimal Unbounded Infinite Horizon Economies with Capital," Working Papers 2133378, Department of Economics, W. P. Carey School of Business, Arizona State University.
  28. Jacques Durieu & Hans Haller & Philippe Solal, 2011. "Nonspecific Networking," Games, MDPI, Open Access Journal, vol. 2(1), pages 1-27, February.
  29. Takashi Kamihigashi & Kerim Keskin & Çağrı Sağlam, 2021. "Organizational refinements of Nash equilibrium," Theory and Decision, Springer, vol. 91(3), pages 289-312, October.
  30. Manjira Datta & Leonard Mirman & Olivier Morand & Kevin Reffett, "undated". "Lattice Methods in Computation of Sequential Markov Equilibrium in Dynamic Games," Working Papers 2179545, Department of Economics, W. P. Carey School of Business, Arizona State University.
  31. Mirman, Leonard J. & Morand, Olivier F. & Reffett, Kevin L., 2008. "A qualitative approach to Markovian equilibrium in infinite horizon economies with capital," Journal of Economic Theory, Elsevier, vol. 139(1), pages 75-98, March.
  32. Roy, Sunanda & Sabarwal, Tarun, 2012. "Characterizing stability properties in games with strategic substitutes," Games and Economic Behavior, Elsevier, vol. 75(1), pages 337-353.
  33. Philippe Solal & Jacques Durieu, 2005. "Interaction on Hypergraphs," Post-Print hal-00375568, HAL.
  34. Yang, Jian & Qi, Xiangtong, 2013. "The nonatomic supermodular game," Games and Economic Behavior, Elsevier, vol. 82(C), pages 609-620.
  35. Łukasz Balbus & Paweł Dziewulski & Kevin Reffett & Łukasz Woźny, 2019. "A qualitative theory of large games with strategic complementarities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(3), pages 497-523, April.
  36. Kultti, Klaus & Salonen, Hannu, 1997. "Undominated Equilibria in Games with Strategic Complementarities," Games and Economic Behavior, Elsevier, vol. 18(1), pages 98-115, January.
  37. Hiroki Nishimura & Efe A. Ok, 2012. "Solvability of Variational Inequalities on Hilbert Lattices," Mathematics of Operations Research, INFORMS, vol. 37(4), pages 608-625, November.
  38. Tang, Pingzhong & Lin, Fangzhen, 2011. "Two equivalence results for two-person strict games," Games and Economic Behavior, Elsevier, vol. 71(2), pages 479-486, March.
  39. Phillip J. Lederer, 2020. "Location-Price Competition with Delivered Pricing and Elastic Demand," Networks and Spatial Economics, Springer, vol. 20(2), pages 449-477, June.
  40. CALCIANO, Filippo L., 2011. "Oligopolistic competition with general complementarities," LIDAM Discussion Papers CORE 2011054, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  41. Sunanda Roy & Tarun Sabarwal, 2005. "Comparative Statics with Never Increasing Correspondences," Game Theory and Information 0505001, University Library of Munich, Germany, revised 21 Oct 2005.
  42. Olivier Tercieux & Mark Voorneveld, 2010. "The cutting power of preparation," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 71(1), pages 85-101, February.
  43. Sunanda Roy & Tarun Sabarwal, 2008. "On the (non-)lattice structure of the equilibrium set in games with strategic substitutes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(1), pages 161-169, October.
  44. Karagözoğlu, Emin & Keskin, Kerim & Sağlam, Çağrı, 2013. "A minimally altruistic refinement of Nash equilibrium," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 422-430.
  45. Sachin Adlakha & Ramesh Johari, 2013. "Mean Field Equilibrium in Dynamic Games with Strategic Complementarities," Operations Research, INFORMS, vol. 61(4), pages 971-989, August.
  46. Voorneveld, Mark, 2019. "An axiomatization of the Nash equilibrium concept," Games and Economic Behavior, Elsevier, vol. 117(C), pages 316-321.
  47. Andrew Monaco & Tarun Sabarwal, 2012. "Games with Strategic Heterogeneity," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201240, University of Kansas, Department of Economics, revised Nov 2012.
  48. Healy, Paul J., 2006. "Learning dynamics for mechanism design: An experimental comparison of public goods mechanisms," Journal of Economic Theory, Elsevier, vol. 129(1), pages 114-149, July.
  49. Voorneveld, Mark, 2019. "An elementary axiomatization of the Nash equilibrium concept," SSE Working Paper Series in Economics 2019:1, Stockholm School of Economics.
  50. Manjira Datta & Leonard Mirman & Kevin Reffett, "undated". "Nonclassical Brock-Mirman Economies," Working Papers 2179544, Department of Economics, W. P. Carey School of Business, Arizona State University.
  51. Yang, Jian, 2018. "Game-theoretic modeling of players’ ambiguities on external factors," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 31-56.
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