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Solutions for network games and symmetric group representations

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  • Joss Sánchez-Pérez

Abstract

We present the relationship between network games and representation theory of the group of permutations of the set of players (nodes), and also offer a different perspective to study solutions for this kind of problems. We then provide several applications of this approach to the cases with three and four players.

Suggested Citation

  • Joss Sánchez-Pérez, 2019. "Solutions for network games and symmetric group representations," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 29(4), pages 95-123.
    • Handle: RePEc:wut:journl:v:4:y:2019:p:95-123:id:1462
    DOI: 10.37190/ord190405
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    References listed on IDEAS

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    1. Jackson, Matthew O., 2005. "Allocation rules for network games," Games and Economic Behavior, Elsevier, vol. 51(1), pages 128-154, April.
    2. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    3. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
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