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Linear production games with committee control: Limiting behaviour of the core

Molina Ferragut, Elisenda and Tejada Cazorla, Juan Antonio (2004) Linear production games with committee control: Limiting behaviour of the core. European journal of operational research, 154 (3). pp. 609-625. ISSN 0377-2217

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Abstract

We study the relation between the core of a given controlled committee LP-game and the set of payoff vectors generated by shadow prices and core allocations of those simple games describing the control over the different resources. The central problem we tackle is the convergence of the core of LP-games with committee control to the set of competitive equilibria, which we define as the set previously described, as the number of players increases uniformly.

Item Type:Article
Uncontrolled Keywords:Game theory; LP-games; Replication; Competitive equilibria
Subjects:Sciences > Mathematics > Operations research
ID Code:15915
References:

Aubin, J.P., 1981. Cooperative fuzzy games. Mathematics of Operations Research 6, 1–13.

Curiel, I., Derks, J., Tijs, S.H., 1989. On balanced games and games with committee control. OR Spektrum 11, 83–88.

Dubey, P., Shapley, L.S., 1984. Totally balanced games arising from controlled programming problems. Mathematical Programming 29, 245–267.

Granot, D., 1986. A generalized linear production model: A unifying model. Mathematical Programming 34, 212–222.

Hildenbrand, W., 1982. Core of an economy. In: Arrow, K.J., Intriligator, M.D. (Eds.), Handbook of Mathematical Economics, vol.II. North-Holland, Amsterdam, pp. 831–877.

Hsiao, C.R., Raghavan, T.E.S., 1992. Monotonicity and dummy free property for multi-choice cooperative games. International Journal of Game Theory 21, 301–312.

Hsiao, C.R., Raghavan, T.E.S., 1993. Shapley value for multi-choice cooperative games (1). Games and Economic Behavior 5, 240–256.

Hsiao, C.R., Raghavan, T.E.S., 1995. A value for continuously many-choice cooperative games. International Journal of Game Theory 24, 273–292.

Owen, G., 1975. On the core of linear production games. Mathematical Programming 9, 358–370.

Puente, R.O., Marchi, E., 1995. On the replica of linear production games with nonadditive resources. Revista de la Unión Matemática Argentina 39, 97–104.

Rockafellar, R.T., 1970. Convex Analysis. Princeton University Press, Princeton, NJ.

Samet, D., Zemel, E., 1984. On the core and dual set of linear programming games. Mathematics of Operations Research 9, 309–316.

Shapley, L.S., Shubik, M., 1969. On market games. Journal of Economic Theory 1, 9–25.

van den Nouweland, A., Tijs, S.H., Potters, J., Zarzuelo, J., 1995. Cores and related solution concepts for multi-choice games. ZOR 41,289–311.

Deposited On:12 Jul 2012 11:26
Last Modified:06 Feb 2014 10:34

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