Rationalizability in games with a continuum of players

Games and Economic Behavior

Volumn 75, Issue 2, 2012, Pages 668-684

  Jara Moroni, Pedro ^a  

^a UNIVERSIDAD DE SANTIAGO DE CHILE   (Chile)

Author keywords

Eductive stability; Expectational coordination; Non atomic games; Rational expectations; Rationalizable strategies; Strong rationality

Indexed keywords

EID: 84860639367     PISSN: 08998256     EISSN: 10902473     Source Type: Journal    
DOI: 10.1016/j.geb.2012.03.004     Document Type: Article

References (41)

1. Aliprantis C.D., Border K.C. Infinite Dimensional Analysis: A Hitchhiker's Guide 1999, Springer-Verlag, Berlin. 3rd ed.
2. Apt K.R. The many faces of rationalizability. B.E. J. Theoretical Econ. 2007, 7(1). Article 18.
3. Aumann R.J. Integrals of set-valued functions. J. Math. Anal. Appl. 1965, 12:1-12.
4. Aumann R.J. An elementary proof that integration preserves uppersemicontinuity. J. Math. Econ. 1976, 3:15-18.
5. Basu K., Weibull J.W. Strategy subsets closed under rational behavior. Econ. Letters 1991, June, 36(2):141-146.
6. Battigalli P., Siniscalchi M. Strong belief and forward induction reasoning. J. Econ. Theory 2002, 106(2):356-391.
7. Berge C. Topological Spaces 1997, Dover Publications.
8. Bernheim B.D. Rationalizable strategic behavior. Econometrica 1984, July, 52(4):1007-1028.
9. Brandenburger A., Dekel E. Rationalizability and correlated equilibria. Econometrica 1987, November, 55(6):1391-1402.
10. Chamley C. Coordinating regime switches. Quart. J. Econ. 1999, August, 114(3):869-905.
11. Chamley C.P. Rational Herds: Economic Models of Social Learning 2004, Cambridge University Press.
12. Chatterji S., Ghosal S. Local coordination and market equilibria. J. Econ. Theory 2004, February, 114(2):255-279.
13. Chen Y.-C., Long N.V., Luo X. Iterated strict dominance in general games. Games Econ. Behav. 2007, November, 61(2):299-315.
14. Cooper R.W. Coordination Games: Complementarities and Macroeconomics 1999, Cambridge University Press, Cambridge, UK.
15. Desgranges, G., 2000. Ck-equilibria and informational efficiency in a competitive economy. Econometric Society World Congress 2000 Contributed Papers 1296, Econometric Society.
16. Desgranges, G. Heinemann, M., 2005. Strongly rational expectations equilibria with endogenous acquisition of information. Working Paper Series in Economics 9, University of Lüneburg, Institute of Economics.
17. Dufwenberg M., Stegeman M. Existence and uniqueness of maximal reductions under iterated strict dominance. Econometrica 2002, September, 70(5):2007-2023.
18. Evans G.W., Guesnerie R. Rationalizability, strong rationality and expectational stability. Games Econ. Behav. 1993, 5:632-646.
19. Evans G.W., Guesnerie R. Coordination on saddle-path solutions: The eductive viewpoint-linear univariate models. Macroecon. Dynam. 2003, 7(1):42-62.
20. Evans G.W., Guesnerie R. Coordination on saddle-path solutions: The eductive viewpoint-linear multivariate models. J. Econ. Theory 2005, October, 124(2):202-229.
21. Gauthier S. Determinacy and stability under learning of rational expectations equilibria. J. Econ. Theory 2002, February, 102(2):354-374.
22. Ghosal S. Intertemporal coordination in two-period markets. J. Math. Econ. 2006, December, 43(1):11-35.
23. Guesnerie R. An exploration on the eductive justifications of the rational-expectations hypothesis. Amer. Econ. Rev. 1992, December, 82(5):1254-1278.
24. Guesnerie R. Anchoring economic predictions in common knowledge. Econometrica 2002, March, 70(2):439.
25. Guesnerie R. Strategic substitutabilities versus strategic complementarities: Towards a general theory of expectational coordination?. Revue Econ. Politique 2005, July-August, 115(4):393-412.
26. Guesnerie R., Jara-Moroni P. Expectational coordination in simple economic contexts. Econ. Theory 2011, 47:205-246. 10.1007/s00199-010-0556-8.
27. Jara-Moroni, P., 2008. Rationalizability in games and expectational coordination. PhD thesis, École des Hautes Études en Sciences Sociales (Paris School of Economics) and Universidad de Chile (Department of Mathematical Engineering).
28. Khan M.A., Papageorgiou N.S. On Cournot-Nash equilibria in generalized qualitative games with an atomless measure space of agents. Proc. Amer. Math. Soc. 1987, July, 100(3):505-510.
29. Khan M.A., Rath K.P., Sun Y. On the existence of pure strategy equilibria in games with a continuum of players. J. Econ. Theory 1997, 76:13-46.
30. Khan M.A., Sun Y. Non-cooperative games with many players. Handbook of Game Theory, vol. 3 2002, 1761-1808. Elsevier Science. R. Aumann, S. Hart (Eds.).
31. Mas-Colell A. On a theorem of Schmeidler. J. Math. Econ. 1984, December, 13(3):201-206.
32. Milgrom P., Roberts J. Rationalizability, learning, and equilibrium in games with strategic complementarities. Econometrica 1990, November, 58(6):1255-1277.
33. Morris S., Shin H.S. Unique equilibrium in a model of self-fulfilling currency attacks. Amer. Econ. Rev. 1998, June, 88(3):587-597.
34. Moulin H. Dominance solvability and Cournot stability. Math. Soc. Sci. 1984, 7:83-102.
35. Muth J.F. Rational expectations and the theory of price movements. Econometrica 1961, July, 29(3):315-335.
36. Pearce D.G. Rationalizable strategic behavior and the problem of perfection. Econometrica 1984, July, 52(4):1029-1050.
37. Rath K.P. A direct proof of the existence of pure strategy equilibria in games with a continuum of players. Econ. Theory 1992, 2:427-433.
38. Reny P.J. On the existence of pure and mixed strategy Nash equilibria in discontinuous games. Econometrica 1999, September, 67(5):1029-1056.
39. Rockafellar R., Wets R.J.-B. Variational Analysis 1998, Springer.
40. Schmeidler D. Equilibrium points of nonatomic games. J. Stat. Phys. 1973, April, 7(4):295-300.
41. Tan T.C.-C., da Costa Werlang S.R. The Bayesian foundations of solution concepts of games. J. Econ. Theory 1988, August, 45(2):370-391.