Balanced per capita contributions and level structure of cooperation

Top - Tập 19 Số 1 - Trang 167-176 - 2011
María Gómez-Rúa1, Juan Vidal-Puga2
1Universidade de Vigo
2Research Group in Economic Analysis and Departamento de Estatística e Investigación Operativa, Universidade de Vigo, Vigo, Spain

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Tài liệu tham khảo

Aumann R, Drèze J (1974) Cooperative games with coalition structure. Int J Game Theory 3:217–237

Calvo E, Lasaga J, Winter E (1996) The principle of balanced contributions and hierarchies of cooperation. Math Soc Sci 31:171–182

Calvo E, Santos JC (2000) Weighted weak semivalues. Int J Game Theory 29:1–9

Gómez-Rúa M, Vidal-Puga JJ (2008) The axiomatic approach to three values in games with coalition structure. MPRA paper number 8904. Available at http://econpapers.repec.org/paper/pramprapa/8904.htm

Hamiache G (2006) A value for games with coalition structures. Soc Choice Welf 26:93–105

Hart S, Mas-Colell A (1989) Potential, value and consistency. Econometrica 57(3):589–614

Herings PJJ, van der Laan G, Talman D (2008) The average tree solution for cycle-free graph games. Games Econ Behav 62:77–92

Kalai E, Samet D (1987) On weighted Shapley values. Int J Game Theory 16:205–222

Kalai E, Samet D (1988) Weighted Shapley values. In: Roth A (ed) The Shapley value: essays in honor of L Shapley. Cambridge University Press, Cambridge, pp 83–99

Kamijo Y (2007) A collective value: a new interpretation of a value and a coalition structure. Waseda University. 21 COE-GLOPE Working Paper Series 27

Levy A, McLean RP (1989) Weighted coalition structure values. Games Econ Behav 1:234–249

Myerson RB (1977) Graphs and cooperation in games. Math Oper Res 2:225–229

Myerson RB (1980) Conference structures and fair allocation rules. Int J Game Theory 9:169–182

Owen G (1977) Values of games with a priori unions. In: Henn R, Moeschlin O (eds) Essays in mathematical economics and game theory. Springer, Berlin/Heidelberg/New York, pp 76–88

Sánchez F (1997) Balanced contributions axiom in the solution of cooperative games. Games Econ Behav 20:161–168

Shapley LS (1953a) Additive and non-additive set functions. PhD Dissertation, Princeton University

Shapley LS (1953b) A value for n-person games. In: Huhn HW, Tucker AW (eds) Contributions to the theory of games II. Annals of mathematics studies, vol 28. Princeton University Press, Princeton, pp 307–317

Vidal-Puga J (2005) Implementation of the levels structure value. Ann Oper Res 137(1):191–209

Vidal-Puga J (2006) The Harsanyi paradox and the “right to talk” in bargaining among coalitions. EconWPA Working paper number 0501005. Available at http://ideas.repec.org/p/wpa/wuwpga/0501005.html

Winter E (1989) A value for cooperative games with level structure of cooperation. Int J Game Theory 18:227–240