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Shenoy, P. P.

A dynamic solution concept for abstract games. (English) Zbl 0416.90088

J. Optimization Theory Appl. 32, 151-169 (1980).
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Cited in 14 Documents

MSC:

91A12 Cooperative games

Keywords:

abstract games; solution concepts; dynamic solutions; bargaining
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References:

[1] Gillies, D. B.,Solutions to General Nonzero-Sum Games, Annals of Mathematics Studies No. 40, Edited by A. W. Tucker and R. D. Luce, Princeton University Press, Princeton, New Jersey, 1959. · Zbl 0085.13106
[2] Von Neumann, J., andMorgenstern, O.,Theory of Games and Economic Behavior, Princeton University Press, Princeton, New Jersey, 1944. · Zbl 0063.05930
[3] Roth, A. E.,Subsolutions and the Supercore of Cooperative Games, Mathematics of Operations Research, Vol. 1, pp. 43-49, 1976. · Zbl 0457.90095 · doi:10.1287/moor.1.1.43
[4] Kalai, E., Pazner, E. A., andSchmeidler, D.,Collective Choice Correspondences as Admissible Outcomes of Social Bargaining Processes, Econometrica, Vol. 44, pp. 223-240, 1976. · Zbl 0342.90001 · doi:10.2307/1912719
[5] Kalai, E., andSchmeidler, D.,An Admissible Set Occurring in Various Bargaining Situations, Northwestern University, Center for Mathematical Studies in Economics and Management Science, Discussion Paper No. 191, 1975. · Zbl 0364.90146
[6] Behzad, M., andHarary, F.,On the Problem of Characterizing Digraphs with Solutions and Kernels, Bulletin of the Iranian Mathematical Society, Vol. 3, 1975.
[7] Behzad, M., andHarary, F.,Which Directed Graphs Have a Solution?, Mathematica Slovaca, Vol. 27, pp. 37-41, 1977. · Zbl 0368.05027
[8] Shmadich, K.,The Existence of Graphic Solutions, Leningrad University Herald, Vol. 1, pp. 88-92, 1976.
[9] Lucas, W. F.,A Counterexample in Game Theory, Management Science, Vol. 13, pp. 766-767, 1967. · Zbl 0152.18601 · doi:10.1287/mnsc.13.9.766
[10] Lucas, W. F.,On Solutions for n-Person Games, The RAND Corporation, Research Memorandum No. RM-5567-PR, 1968.
[11] Lucas, W. F.,A Game with No Solution, Bulletin of the American Mathematical Society, Vol. 74, pp. 237-239, 1968. · Zbl 0157.51101 · doi:10.1090/S0002-9904-1968-11901-9
[12] Lucas, W. F.,The Proof That a Game May Not Have a Solution, Transactions of the American Mathematical Society, Vol. 137, pp. 219-229, 1969. · Zbl 0184.23602 · doi:10.1090/S0002-9947-1969-0237183-X
[13] Lucas, W. F.,Games with Unique Solutions That Are Nonconvex, Pacific Journal of Mathematics, Vol. 28, pp. 599-602, 1969. · Zbl 0184.23601
[14] Stearns, R. E.,A Game without Side Payments That Has No Solution, Princeton University, Report on the Fifth Conference on Game Theory, Edited by W. F. Lucas, 1965.
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