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Inheritance of weighted average-convexity in communication situations

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  • Alexandre Skoda

    (Université de Paris I, Centre d’Economie de la Sorbonne)

  • Xavier Venel

    (Luiss University)

Abstract

We study the relation between weighted average-convexity and communication situations. We exhibit necessary conditions for a communication situation to preserve the weighted average-convexity from the initial game to the graph-restriced game and we provide a complete characterization.

Suggested Citation

  • Alexandre Skoda & Xavier Venel, 2025. "Inheritance of weighted average-convexity in communication situations," International Journal of Game Theory, Springer;Game Theory Society, vol. 54(1), pages 1-33, June.
    • Handle: RePEc:spr:jogath:v:54:y:2025:i:1:d:10.1007_s00182-025-00947-1
    DOI: 10.1007/s00182-025-00947-1
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    References listed on IDEAS

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    1. Inarra, Elena & Usategui, Jose M, 1993. "The Shapley Value and Average Convex Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 22(1), pages 13-29.
    2. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    3. Skoda, Alexandre & Venel, Xavier, 2023. "Weighted average-convexity and Shapley values," Games and Economic Behavior, Elsevier, vol. 140(C), pages 88-98.
    4. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
    5. van den Nouweland, Anne & Borm, Peter, 1991. "On the Convexity of Communication Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(4), pages 421-430.
    6. Monderer, Dov & Samet, Dov & Shapley, Lloyd S, 1992. "Weighted Values and the Core," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(1), pages 27-39.
    7. Marco Slikker, 2000. "Inheritance of properties in communication situations," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(2), pages 241-268.
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