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A Dominance Solvable Global Game with Strategic Substitutes

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  • Rodrigo Harrison
  • Pedro Jara-Moroni

Abstract

Global games emerged as an approach to equilibrium selection. For a general setting with supermodular payoffs unique selection of equilibrium has been obtained through iterative elimination of strictly dominated strategies. For the case of global games with strategic substitutes, uniqueness of equilibrium has not been proved by iterative elimination of strictly dominated strategies, making the equilibrium less appealing. In this work we study a simple three player binary action global game with strategic substitutes for which we provide a condition for dominance solvability. This opens an unexplored research agenda on the study of global games with strategic substitutes.

Suggested Citation

  • Rodrigo Harrison & Pedro Jara-Moroni, 2013. "A Dominance Solvable Global Game with Strategic Substitutes," Documentos de Trabajo 440, Instituto de Economia. Pontificia Universidad Católica de Chile..
  • Handle: RePEc:ioe:doctra:440
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    References listed on IDEAS

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    1. Morris, Stephen & Shin, Hyun Song, 1998. "Unique Equilibrium in a Model of Self-Fulfilling Currency Attacks," American Economic Review, American Economic Association, vol. 88(3), pages 587-597, June.
    2. Frankel, David M. & Morris, Stephen & Pauzner, Ady, 2003. "Equilibrium selection in global games with strategic complementarities," Journal of Economic Theory, Elsevier, vol. 108(1), pages 1-44, January.
    3. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    4. 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.
    5. Alexander Zimper, 2007. "A fixed point characterization of the dominance-solvability of lattice games with strategic substitutes," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(1), pages 107-117, September.
    6. R. Guesnerie, 2002. "Anchoring Economic Predictions in Common Knowledge," Econometrica, Econometric Society, vol. 70(2), pages 439-480, March.
    7. Roger Guesnerie, 2005. "Strategic Substitutabilities Versus Strategic Complementarities : Towards a General Theory of Expectational Coordination ?," Revue d'économie politique, Dalloz, vol. 115(4), pages 393-412.
    8. Honda, Jun, 2011. "Noise-independent selection in global games and monotone potential maximizer: A symmetric 3×3 example," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 663-669.
    9. Oyama, Daisuke & Takahashi, Satoru, 2011. "On the relationship between robustness to incomplete information and noise-independent selection in global games," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 683-688.
    10. Goldstein, Itay & Pauzner, Ady, 2004. "Contagion of self-fulfilling financial crises due to diversification of investment portfolios," Journal of Economic Theory, Elsevier, vol. 119(1), pages 151-183, November.
    11. Christophe Chamley, 1999. "Coordinating Regime Switches," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 869-905.
    12. Basteck, Christian & Daniëls, Tijmen R. & Heinemann, Frank, 2013. "Characterising equilibrium selection in global games with strategic complementarities," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2620-2637.
    13. Rodrigo Harrison & Roberto Munoz, 2003. "Global Games with Strategic Substitutes," Working Papers gueconwpa~03-03-07, Georgetown University, Department of Economics.
    14. Oury, Marion, 2013. "Noise-independent selection in multidimensional global games," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2638-2665.
    15. Guesnerie, Roger, 1992. "An Exploration of the Eductive Justifications of the Rational-Expectations Hypothesis," American Economic Review, American Economic Association, vol. 82(5), pages 1254-1278, December.
    16. Rodrigo J. Harrison, 2003. "Equilibrium Selection in Global Games with Strategic Substitutes," Game Theory and Information 0306003, University Library of Munich, Germany.
    17. Basteck, Christian & Daniëls, Tijmen R., 2011. "Every symmetric 3×3 global game of strategic complementarities has noise-independent selection," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 749-754.
    18. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
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    Cited by:

    1. Rodrigo Harrison & Pedro Jara‐Moroni, 2021. "Global Games With Strategic Substitutes," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(1), pages 141-173, February.
    2. Lee, Kyounghun & Oh, Frederick Dongchuhl, 2021. "The role of large players in global games with strategic complements and substitutes," Economics Letters, Elsevier, vol. 198(C).
    3. Aviad Heifetz, 2019. "Robust multiplicity with (transfinitely) vanishing naiveté," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(4), pages 1277-1296, December.
    4. Roy, Sunanda & Singh, Rajesh & Weninger, Quinn, 2021. "Entry under placement uncertainty," ISU General Staff Papers 202102240800001096, Iowa State University, Department of Economics.

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