- Autor
- Sánchez-Pérez Joss (Facultad de Economía, UASLP, San Luis Potosí, México)
- Tytuł
- Solutions for Network Games and Symmetric Group Representations
- Źródło
- Operations Research and Decisions, 2019, vol. 29, no. 4, s. 95-123, rys., bibliogr. 9 poz.
- Słowa kluczowe
- Teoria gier, Gry komputerowe
Game theory, Computer games - Uwagi
- summ.
- Abstrakt
- 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)
- Dostępne w
- Biblioteka Główna Uniwersytetu Ekonomicznego w Krakowie
Biblioteka SGH im. Profesora Andrzeja Grodka
Biblioteka Główna Uniwersytetu Ekonomicznego w Katowicach - Pełny tekst
- Pokaż
- Bibliografia
-
- AUMANN R., MYERSON R., Endogenous formation of links between players and coalitions: an application of the Shapley value, [In:] A. Roth (Ed.), The Shapley Value, Cambridge University Press, 1988, 175-191.
- CRISMAN K., ORRISON M., Representation theory of the symmetric group in voting theory and game theory, Cont. Math., 2017, 685, 97-116.
- FULTON W., HARRIS J., Representation Theory. A first course, Springer-Verlag Graduate Texts in Mathematics, New York 1991, 129.
- 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.
- SÁNCHEZ-PÉREZ J., A decomposition for the space of games with externalities, Int. J. Game Theory, 2017, 46 (1), 205-233.
- JACKSON M., Allocation rules for network games, Games Econ. Behav., 2005, 51, 128-154.
- JACKSON M., WOLINSKY A., A strategic model of social and economic networks, J. Econ. Theory, 1996, 71, 44-74.
- MYERSON R., Graphs and cooperation in games, Math. Oper. Res., 1977, 2 (3), 225-229.
- 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.
- Cytowane przez
- ISSN
- 2081-8858
- Język
- eng
- URI / DOI
- http://dx.doi.org/10.37190/ord190405
