International Journal of Game Theory

, Volume 19, Issue 2, pp 139–152 | Cite as

Comparative cooperative game theory

  • T. Ichiishi


Given two side-payment gamesv andw, both defined for the same finite player-setN, the following three welfare criteria are characterized in terms of the datav andw: (A) For everyy ∃ C(w) there existsx ∃ C(v) such thaty≤x; (A′) For everyx∃C(v) there existsyεC(w) such thaty≤x; and (B) There existyεC(w) andxεC(v) such thaty≤x. (HereC(v) denotes the core ofv.) Given two non-side-payment gamesv andw, sufficient conditions for the criteria (A′) and (B) are established, by observing that an ordinal convex game has a large core.


Economic Theory Game Theory Cooperative Game Large Core Cooperative Game Theory 
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Copyright information

© Physica-Verlag 1990

Authors and Affiliations

  • T. Ichiishi
    • 1
  1. 1.Department of EconomicsThe Ohio State UniversityColumbusUSA

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