Solutions for Network Games and Symmetric Group Representations

• Autorzy: Joss Sánchez-Pérez
• Języki publikacji: EN

Abstrakty

EN

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. (original abstract)

Słowa kluczowe

EN

Game theory; Computer games

PL

Teoria gier; Gry komputerowe

• Czasopismo: Operations Research and Decisions
• Rocznik: 2019
• Tom: 29
• Numer: nr 4
• Strony: 95--123

Twórcy

autor

Joss Sánchez-Pérez

• Facultad de Economía, UASLP, San Luis Potosí, México

Bibliografia

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• [3] FULTON W., HARRIS J., Representation Theory. A first course, Springer-Verlag Graduate Texts in Mathematics, New York 1991, 129.
• [4] HERNÁNDEZ-LAMONEDA L., JUÁREZ R., SÁNCHEZ-SÁNCHEZ F., Dissection of solutions in cooperative game theory using representation techniques, Int. J. Game Theory, 2007, 35 (3), 395-426.
• [5] SÁNCHEZ-PÉREZ J., A decomposition for the space of games with externalities, Int. J. Game Theory, 2017, 46 (1), 205-233.
• [6] JACKSON M., Allocation rules for network games, Games Econ. Behav., 2005, 51, 128-154.
• [7] JACKSON M., WOLINSKY A., A strategic model of social and economic networks, J. Econ. Theory, 1996, 71, 44-74.
• [8] MYERSON R., Graphs and cooperation in games, Math. Oper. Res., 1977, 2 (3), 225-229.
• [9] SHAPLEY L., A value for n-person games, [In:] A.W. Tucker, R.D. Luce (Eds.), Contribution to the Theory of Games, Ann. Math. Studies, Princeton University Press, Princeton 1953, 307-317.

Identyfikatory

DOI

10.37190/ord190405