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A dominance solvable global game with strategic substitutes

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  • Harrison, Rodrigo
  • Jara-Moroni, Pedro

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 provide a condition for dominance solvability in a simple three-player binary-action global game with strategic substitutes. This opens an unexplored research agenda on the study of global games with strategic substitutes.

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  • Harrison, Rodrigo & Jara-Moroni, Pedro, 2015. "A dominance solvable global game with strategic substitutes," Journal of Mathematical Economics, Elsevier, vol. 57(C), pages 1-11.
    • Handle: RePEc:eee:mateco:v:57:y:2015:i:c:p:1-11
    DOI: 10.1016/j.jmateco.2015.01.001
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    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. Roy, Sunanda & Singh, Rajesh & Weninger, Quinn, 2024. "Entry under placement uncertainty," Games and Economic Behavior, Elsevier, vol. 145(C), pages 157-196.
    3. 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).
    4. 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.
    5. 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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