The socially stable core in structured transferable utility games

Games and Economic Behavior

Volumn 59, Issue 1, 2007, Pages 85-104

  Herings, P Jean Jacques ^a   van der Laan, Gerard ^b   Talman, Dolf ^c  

^a MAASTRICHT UNIVERSITY   (Netherlands)

^b VU UNIVERSITY AMSTERDAM   (Netherlands)

^c TILBURG UNIVERSITY   (Netherlands)

Author keywords

Hierarchy; Social structure; Socially stable core; Transferable utility game

Indexed keywords

EID: 33947604563     PISSN: 08998256     EISSN: 10902473     Source Type: Journal    
DOI: 10.1016/j.geb.2006.04.008     Document Type: Article

References (33)

1. Ambec S., and Sprumont Y. Sharing a river. J. Econ. Theory 107 (2002) 453-462
2. Aumann R.J., and Drèze J.H. Cooperative games with coalition structure. Int. J. Game Theory 3 (1974) 217-237
3. Aumann R.J., and Maschler M. The bargaining set for cooperative games. In: Dresher M., Shapley S., and Tucker A.W. (Eds). Advances in Game Theory. Ann. of Math. Stud. vol. 52 (1964), Princeton Univ. Press, Princeton 443-476
4. Bondareva O.N. Some applications of linear programming methods to the theory of cooperative games. Problemy Kibernetiki 10 (1963) 119-139 (in Russian)
5. Borm P., Owen G., and Tijs S. On the position value for communication situations. SIAM J. Discrete Math. 5 (1992) 305-320
6. Curiel, I., 1988. Cooperative game theory and applications. PhD thesis. Katholieke Universiteit Nijmegen
7. Demange G. Intermediate preferences and stable coalition structures. J. Math. Econ. 23 (1994) 45-58
8. Demange G. On group stability in hierarchies and networks. J. Polit. Economy 112 (2004) 754-778
9. Faigle U., and Kern W. The Shapley value for cooperative games under precedence constraints. Int. J. Game Theory 21 (1992) 249-266
10. Fernández C., Borm P., Hendrickx R., and Tijs S. Drop-out monotonicity rules for sequencing games. Math. Methods Operations Res. 61 (2005) 501-504
11. Friedman J.W. Game Theory with Applications to Economics (1989), Oxford Univ. Press, New York
12. Gilles R.P., Owen G., and van den Brink R. Games with permission structures: The conjunctive approach. Int. J. Game Theory 20 (1992) 277-293
13. Granot G., and Huberman G. The relationship between convex games and minimal cost spanning tree games: a case for permutationally convex games. SIAM J. Algebraic Discrete Methods 3 (1982) 288-292
14. Hamers, H., 1995. Sequencing and delivery situations: A game theoretic approach. PhD thesis. Tilburg University
15. Harsanyi J.C. A bargaining model for cooperative n-person games. In: Tucker A.W., and Luce R.D. (Eds). Contributions to the Theory of Games, vol. IV (1959), Princeton Univ. Press, Princeton 325-355
16. Hart S., and Kurz M. Endogenous formation of coalitions. Econometrica 51 (1983) 1047-1064
17. Herings, P.J.J., van der Laan, G., Talman, A.J.J., 2003. Socially structured games and their applications. Research memorandum 03/09. METEOR, Maastricht University
18. Herings P.J.J., van der Laan G., and Talman A.J.J. The positional power of nodes in digraphs. Soc. Choice Welfare 25 (2005) 1-16
19. Ichiishi T. Super-modularity: Applications to convex games and to the greedy algorithm for LP. J. Econ. Theory 25 (1981) 283-286
20. Jackson M.O., and Wolinsky A. A strategic model of social and economic networks. J. Econ. Theory 71 (1996) 44-74
21. Kaneko M., and Wooders M.H. Cores of partitioning games. Math. Soc. Sci. 3 (1982) 313-327
22. Kalai E., Postlewaite A., and Roberts J. Barriers to trade and disadvantageous middlemen: Nonmonotonicity of the core. J. Econ. Theory 19 (1978) 200-209
23. Le Breton M., Owen G., and Weber S. Strongly balanced cooperative games. Int. J. Game Theory 20 (1992) 419-427
24. Myerson R.B. Graphs and cooperation in games. Math. Operations Res. 2 (1977) 225-229
25. Owen G. Values of games with a priori unions. In: Henn R., and Moeschlin O. (Eds). Essays in Mathematical Economics and Game Theory (1977), Springer-Verlag, Berlin 76-88
26. Owen G. Values of graph-restricted games. SIAM J. Algebraic Discrete Methods 7 (1986) 210-220
27. Owen G. Game Theory (1995), Academic Press, San Diego
28. Piccione, M., Rubinstein, A., 2006. Equilibrium in the jungle. Working paper
29. Rubenstein A. Ranking the participants in a tournament. SIAM J. Appl. Math. 38 (1980) 108-111
30. Shapley L.S. A value for n-person games. In: Kuhn H.W., and Tucker A.W. (Eds). Contributions to the Theory of Games, vol. II (1953), Princeton Univ. Press, Princeton 307-317
31. van den Brink R., and Gilles R.P. Axiomatizations of the conjunctive permission value for games with permission structures. Games Econ. Behav. 12 (1996) 113-126
32. van den Brink R., and Gilles R.P. Measuring combination in directed networks. Soc. Networks 22 (2000) 141-157
33. Winter E. A value for cooperative games with levels structure of cooperation. Int. J. Game Theory 18 (1989) 227-240