A value for generalized probabilistic communication situations

European Journal of Operational Research

Volumn 190, Issue 2, 2008, Pages 539-556

  Gomez D ^a   Gonzalez Aranguena E ^a   Manuel, C ^a   Owen, G ^b  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^b NAVAL POSTGRADUATE SCHOOL   (United States)

Author keywords

Game theory; Graph restricted games; Myerson value; TU games

Indexed keywords

GRAPH THEORY; MATHEMATICAL MODELS; OPERATIONS RESEARCH; PROBABILITY DISTRIBUTIONS; SET THEORY; TELECOMMUNICATION NETWORKS;

DIRECT COMMUNICATION; GRAPH RESTRICTED GAMES; MYERSON VALUES; TU GAMES;

GAME THEORY;

EID: 41749100624     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2007.06.040     Document Type: Article

References (14)

1. Bondareva O. Certain applications of the methods of linear programming to the theory of cooperative games. Problemy Kibernetiki 10 (1963) 119-139 (in Russian)
2. Calvo E., Lasaga J., and Van den Nouweland A. Values of games with probabilistic graphs. Mathematical Social Sciences 37 (1999) 79-95
3. Gómez D., González-Arangüena E., Manuel C., Owen G., del Pozo M., and Tejada J. Centrality and power in social networks: A game theoretic approach. Mathematical Social Sciences 46 (2003) 27-54
4. Gómez, D, González-Arangüena, E, Manuel, C, Owen, G, del Pozo, M, Saboyá, M. 2007. The cohesiveness of subgroups in social network: A view from game theory. Annals of Operation Research (in press).
5. Jackson O. Allocation rules for network games. Games and Economic Behavior 51 (2005) 128-154
6. Myerson R.B. Graphs and cooperation in games. Mathematics of Operation Research 2 (1977) 225-229
7. Myerson R.B. Conference structures and fair allocation rules. International Journal of Game Theory 9 (1980) 169-182
8. Newman M.E.J. The structure and function of complex networks. SIAM Review 2 (2003) 167-256
9. Owen G. Values of graph-restricted games. SIAM Journal on Algebraic and Discrete Methods 7 (1986) 210-220
10. Shapley L. A value for n-person games. In: Kuhn H., and Tucker A.W. (Eds). Annals of Mathematics Studies vol. 28 (1953), Princeton University Press, Princeton, NJ 307-317
11. Shapley L. On balanced sets and cores. Naval Research Logistics Quarterly 14 (1967) 453-460
12. Slikker M., and Van den Nouweland A. Social and Economic Networks in Cooperative Game Theory (2001), Kluwer Academic Publishers, Norwell, MA
13. Van den Nouweland, A., 1993. Games and graphs in economic situations. Ph.D. Thesis, Tilburg University, Tilburg, The Netherlands.
14. Van den Nouweland A., and Borm P. On the convexity of communication games. International Journal of Game Theory 19 (1991) 421-430