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Communication situations with asymmetric players

Author

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  • Marco Slikker
  • Anne van den Nouweland

Abstract

In this paper we study situations where asymmetric players have restricted possibilities for communication. Extreme asymmetry results in a hierarchy among the players. We introduce a class of allocation rules for these situations inspired by the Myerson value (Myerson (1977)) and Shapley values with weight systems (Kalai and Samet (1988)). It is shown that this new class of allocation rules can be characterized by a consistency property, a fairness criterion, a property based on the hierarchy among the players, and an efficiency criterion. Furthermore, we show that the consistency property can be dropped from the axiomatic characterization when the fairness criterion is strengthened. Copyright Springer-Verlag Berlin Heidelberg 2000

Suggested Citation

  • Marco Slikker & Anne van den Nouweland, 2000. "Communication situations with asymmetric players," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 52(1), pages 39-56, September.
    • Handle: RePEc:spr:mathme:v:52:y:2000:i:1:p:39-56
    DOI: 10.1007/s001860000057
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    Cited by:

    1. Ghintran, Amandine, 2013. "Weighted position values," Mathematical Social Sciences, Elsevier, vol. 65(3), pages 157-163.
    2. Alexandre Skoda & Xavier Venel, 2022. "Weighted Average-convexity and Cooperative Games," Documents de travail du Centre d'Economie de la Sorbonne 22016, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    3. Alexandre Skoda & Xavier Venel, 2022. "Weighted Average-convexity and Cooperative Games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-03717539, HAL.
    4. Zissimos, Ben, 2002. "Why Are Trade Agreements Regional? A Theory based on Noncooperative Networks," Economic Research Papers 269465, University of Warwick - Department of Economics.
    5. Kongo, Takumi, 2011. "Value of games with two-layered hypergraphs," Mathematical Social Sciences, Elsevier, vol. 62(2), pages 114-119, September.
    6. Alexandre Skoda & Xavier Venel, 2022. "Weighted Average-convexity and Cooperative Games," Post-Print halshs-03717539, HAL.

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