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Nullified-game consistency and axiomatizations of the Core of TU-games with a fixed player set

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  • Kaneko, Takuto
  • Nakada, Satoshi

Abstract

We provide new axiomatic foundations for the Core of TU-games with a fixed player set. Our main axiom is referred to as nullified reduced game consistency, which is a natural counterpart of reduced game consistency in the setting with a universal player set. We consider three types of nullified reduced game consistency axioms, each of which corresponds to the max-, complement-, and projection-reduced game consistency in the literature. We show that each property, together with other standard axioms, characterizes the Core. As a result, our characterization results uncover implicit restrictions on solutions imposed by consistency in the universal player set.

Suggested Citation

  • Kaneko, Takuto & Nakada, Satoshi, 2025. "Nullified-game consistency and axiomatizations of the Core of TU-games with a fixed player set," Economics Letters, Elsevier, vol. 250(C).
    • Handle: RePEc:eee:ecolet:v:250:y:2025:i:c:s0165176525001119
    DOI: 10.1016/j.econlet.2025.112274
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    More about this item

    Keywords

    TU-games; Core; Axiomatization; Fixed player set; Nullified games;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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