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A cardinal convex game with empty core

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  • Pintér, Miklós

Abstract

In this note we present a cardinal convex game (Sharkey, 1981) with empty core. Sharkey assumed that V(N) is convex, we do not do so, hence we do not contradict Sharkey’s result.

Suggested Citation

  • Pintér, Miklós, 2016. "A cardinal convex game with empty core," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 9-10.
    • Handle: RePEc:eee:matsoc:v:83:y:2016:i:c:p:9-10
    DOI: 10.1016/j.mathsocsci.2016.06.002
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    References listed on IDEAS

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    1. Ruud Hendrickx & Judith Timmer & Peter Borm, 2002. "A note on NTU convexity," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(1), pages 29-37.
    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.
    3. Joseph Greenberg, 1985. "Cores of Convex Games Without Side Payments," Mathematics of Operations Research, INFORMS, vol. 10(3), pages 523-525, August.
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