The convergence of fictitious play in games with strategic complementarities: A Comment
In a recent article, Hahn [Hahn, S. (2008). The convergence of fictitious play in games with strategic complementarities. Economics Letters 99, 2, 304-306] claims to prove convergence of fictitious play in games with strategic complementarities. I show here that the proof is flawed and convergence remains an open question.
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- Monderer, Dov & Sela, Aner, 1997. "Fictitious play and- no-cycling conditions," Sonderforschungsbereich 504 Publications 97-12, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
- Echenique, Federico, 2004.
"A characterization of strategic complementarities,"
Games and Economic Behavior,
Elsevier, vol. 46(2), pages 325-347, February.
- Federico Echenique, 2001. "A Characterization of Strategic Complementarities," GE, Growth, Math methods 0103001, EconWPA.
- Federico Echenique., 2001. "A Characterization of Strategic Complementarities," Economics Working Papers E01-299, University of California at Berkeley.
- Echenique, Federico, 2002. "A Characterization of Strategic Complementarities," Working Papers 1142, California Institute of Technology, Division of the Humanities and Social Sciences.
- Echenique, Federico, 2001. "A Characterization of Strategic Complementarities," Department of Economics, Working Paper Series qt5w13s4z2, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Federico Echenique, 2001. "A characterization of strategic complementarities," Documentos de Trabajo (working papers) 0501, Department of Economics - dECON.
- Josef Hofbauer & William H. Sandholm, 2002. "On the Global Convergence of Stochastic Fictitious Play," Econometrica, Econometric Society, vol. 70(6), pages 2265-2294, November.
- Vives, Xavier, 2004. "Complementarities and Games: New Developments," CEPR Discussion Papers 4742, C.E.P.R. Discussion Papers.
- Milgrom, Paul & Roberts, John, 1991. "Adaptive and sophisticated learning in normal form games," Games and Economic Behavior, Elsevier, vol. 3(1), pages 82-100, February.
- Hahn, Sunku, 2008. "The convergence of fictitious play in games with strategic complementarities," Economics Letters, Elsevier, vol. 99(2), pages 304-306, May.
- Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
- Vives, X., 1988. "Nash Equilibrium With Strategic Complementarities," UFAE and IAE Working Papers 107-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Berger, Ulrich, 2008. "Learning in games with strategic complementarities revisited," Journal of Economic Theory, Elsevier, vol. 143(1), pages 292-301, November.
- Berger, Ulrich, 2007. "Two more classes of games with the continuous-time fictitious play property," Games and Economic Behavior, Elsevier, vol. 60(2), pages 247-261, August.
- Monderer, Dov & Sela, Aner, 1997. "Fictitious play and no-cycling conditions," Papers 97-12, Sonderforschungsbreich 504. Full references (including those not matched with items on IDEAS)
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