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A note on external angles of the core of convex TU games, marginal worth vectors and the Weber set

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  • Sergei Pechersky

Abstract

The paper studies the structure of external angles of the core of convex TU games. It is shown that the external angle at a vertex of the core is proportional to the number of marginal worth vectors defining the vertex. A notion of difference of two convex compact sets is used to define the Weber set of a TU game and to give another proof of the Weber theorem. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Sergei Pechersky, 2015. "A note on external angles of the core of convex TU games, marginal worth vectors and the Weber set," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 487-498, May.
    • Handle: RePEc:spr:jogath:v:44:y:2015:i:2:p:487-498
    DOI: 10.1007/s00182-014-0441-y
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    References listed on IDEAS

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    1. Gonzalez-Diaz, Julio & Sanchez-Rodriguez, Estela, 2008. "Cores of convex and strictly convex games," Games and Economic Behavior, Elsevier, vol. 62(1), pages 100-105, January.
    2. Gajdos, T. & Hayashi, T. & Tallon, J.-M. & Vergnaud, J.-C., 2008. "Attitude toward imprecise information," Journal of Economic Theory, Elsevier, vol. 140(1), pages 27-65, May.
    3. Jeroen Kuipers & Dries Vermeulen & Mark Voorneveld, 2010. "A generalization of the Shapley–Ichiishi result," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(4), pages 585-602, October.
    4. Dragan, I. & Potters, J.A.M. & Tijs, S.H., 1989. "Superadditivity for solutions of coalitional games," Other publications TiSEM 283e2594-e3a0-418d-ae5e-2, Tilburg University, School of Economics and Management.
    5. Ichiishi,Tatsuro, 1993. "The Cooperative Nature of the Firm," Cambridge Books, Cambridge University Press, number 9780521414449.
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    Cited by:

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    3. Miguel Ángel Mirás Calvo & Carmen Quinteiro Sandomingo & Estela Sánchez-Rodríguez, 2022. "The average-of-awards rule for claims problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(4), pages 863-888, November.

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