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A look back at the core of games in characteristic function form: some new axiomatization results

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  • Anindya Bhattacharya

Abstract

In this paper we provide three new results axiomatizing the core of games in characteristic function form (not necessarily having transferable utility) obeying an innocuous condition (that the set of individually rational pay-off vectors is bounded). One novelty of this exercise is that our domain is the {\em entire} class of such games: i.e., restrictions like "non-levelness" or "balancedness" are not required.

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  • Anindya Bhattacharya, 2022. "A look back at the core of games in characteristic function form: some new axiomatization results," Papers 2208.01690, arXiv.org.
    • Handle: RePEc:arx:papers:2208.01690
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    References listed on IDEAS

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    1. Peleg, Bezalel, 1985. "An axiomatization of the core of cooperative games without side payments," Journal of Mathematical Economics, Elsevier, vol. 14(2), pages 203-214, April.
    2. Keiding, Hans, 1986. "An axiomatization of the core of a cooperative game," Economics Letters, Elsevier, vol. 20(2), pages 111-115.
    3. Yan-An Hwang, 2006. "Two characterizations of the consistent egalitarian solution and of the core on NTU games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(3), pages 557-568, December.
    4. Peter Sudhölter & Yan-An Hwang, 2001. "Axiomatizations of the core on the universal domain and other natural domains," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(4), pages 597-623.
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