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Punishment strategies make the α-coalitional game ordinally convex and balanced

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  • Takuya Masuzawa

Abstract

We present a sufficient condition under which the α-coalitional game associated with a strategic form game is ordinally convex and balanced. The n-person prisoners’ dilemma games satisfy this condition. Copyright Springer-Verlag 2004

Suggested Citation

  • Takuya Masuzawa, 2004. "Punishment strategies make the α-coalitional game ordinally convex and balanced," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(4), pages 479-483, August.
  • Handle: RePEc:spr:jogath:v:32:y:2004:i:4:p:479-483
    DOI: 10.1007/s001820400171
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    Citations

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    Cited by:

    1. Takuya Masuzawa, 2013. "Metzler Functions and the Shortest-Path Problem," Keio/Kyoto Joint Global COE Discussion Paper Series 2012-030, Keio/Kyoto Joint Global COE Program.
    2. Csóka, Péter & Jean-Jacques Herings, P. & Kóczy, László Á. & Pintér, Miklós, 2011. "Convex and exact games with non-transferable utility," European Journal of Operational Research, Elsevier, vol. 209(1), pages 57-62, February.

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