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Equal treatment without large numbers

Author

Listed:
  • Camelia Bejan

    (University of Washington, Bothell)

  • Juan Camilo Gómez

    (University of Washington, Bothell)

Abstract

We provide a necessary and sufficient condition under which core allocations of arbitrary TU-games treat substitute players equally. The core satisfies the equal treatment property if and only if no player needs the participation of all of her substitutes to attain her core payoffs. We show how, without the requirement of a large number of players, this condition generalizes and unifies other sufficient conditions proposed in the literature (in the context of large games and economies) and it helps derive new results for particular classes of games.

Suggested Citation

  • Camelia Bejan & Juan Camilo Gómez, 2018. "Equal treatment without large numbers," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1239-1259, November.
    • Handle: RePEc:spr:jogath:v:47:y:2018:i:4:d:10.1007_s00182-018-0617-y
    DOI: 10.1007/s00182-018-0617-y
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    References listed on IDEAS

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