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Games of strategic complementarities: an application to Bayesian games

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Spanish Economic Review

Abstract

This paper provides an introduction to the theory of games of strategic complementarities, considers Bayesian games, and provides an application to global games.

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References

  • Athey S (2001) Single crossing properties and the existence of pure strategy equilibria in games of incomplete information. Econometrica 69:861–890

    Article  Google Scholar 

  • Bulow J, Geanakoplos J, Klemperer P (1985) Multimarket oligopoly: strategic substitutes and complements. J Pol Econ 488–511

  • Carlsson H, van Damme E (1993) Global games and equilibrium selection. Econometrica 61:989–1018

    Article  Google Scholar 

  • Cooper R, John A (1988) Coordinating coordination failures in Keynesian models. Q J Econ 103:441–463

    Article  Google Scholar 

  • Diamond P (1981) Mobility costs, frictional unemployment, and efficiency. J Pol Econ 89(4):798–812

    Article  Google Scholar 

  • Dybvig P, Spatt C (1983) Adoption externalities as public goods. J Public Econ 20(2):231–247

    Article  Google Scholar 

  • Edgeworth FI (1881) Mathematical psychics: an essay on the applications of mathematics to the moral sciences, Reprints of economic classics. Augustus M. Kelley Publishers, New York

    Google Scholar 

  • Frankel D, Morris S, Pauzner A (2003) Equilibrium selection in global games with strategic complementarities. J Econ Theory 108(1):1–44

    Article  Google Scholar 

  • Matsuyama K (1995) Complementarities and cumulative processes in models of monopolistic competition. J Econ Liter 33(2):701–729

    Google Scholar 

  • Milgrom P, Roberts J (1990) Rationalizability, learning, and equilibrium in games with strategic complementarities. Econometrica 58(6):1255–1277

    Article  Google Scholar 

  • Milgrom P, Shannon C (1994) Monotone comparative statics. Econometrica 62:157–180

    Article  Google Scholar 

  • Morris S, Shin HS (2002) Global games: theory and applications. In: Dewatripont M, Hansen L, Turnovsky S (eds) Advances in economics and econometrics, the 8th world congress. Cambridge University Press, Cambridge

    Google Scholar 

  • Tarski A (1955) A lattice-theoretical fixpoint theorem and its applications. Pac J Math 5:285–308

    Google Scholar 

  • Topkis D (1978) Minimizing a submodular function on a lattice. Oper Res 26:2

    Article  Google Scholar 

  • Topkis D (1979) Equilibrium point in nonzero-sum n-person submodular games. SIAM J Control Optim 17:773–787

    Article  Google Scholar 

  • Topkis D (1998) Supermodularity and complementarity; Frontiers of economic research series. Princeton University Press, Princeton

    Google Scholar 

  • Van Zandt T, Vives X (2007) Monotone equilibria in Bayesian games of strategic complementarities. J Econ Theory (forthcoming)

  • Vives X (1985) Nash equilibrium in oligopoly games with monotone best responses. CARESS W.P. #85-10, University of Pennsylvania

  • Vives X (1990) Nash equilibrium with strategic complementarities. J Math Econ 19(3):305–321

    Article  Google Scholar 

  • Vives X (1999) Oligopoly pricing: old ideas and new tools. MIT Press, Cambridge

    Google Scholar 

  • Vives X (2005) Complementarities and games: new developments. J Econ Liter 43:437–479

    Article  Google Scholar 

Download references

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Correspondence to Xavier Vives.

Additional information

This paper is based on the Spanish Economic Review lecture given at the Simposio de Análisis Económico, Alicante, December 2001. Support from the Spanish Ministry of Education and Science (project SEJ2005-08263) is gratefully acknowledged.

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Vives, X. Games of strategic complementarities: an application to Bayesian games. SpanEconRev 9, 237–247 (2007). https://doi.org/10.1007/s10108-007-9027-1

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