G. Owen (1975, Math. Programming 9, 358-370) assigned to each linear production process a cooperative game, a “linear production game”. Further, he introduced a method to find a subset of the core of linear production games that verifies certain properties, which is called the “Owen set.” This package computes the linear production games and allocation rules associated.
The most important function is coopProductGame. Other functions included in the package are auxiliary ones that can be used independently.
Daniel Prieto Rodríguez
Maintainer: Daniel Prieto Rodríguez <[email protected]>
S. Cano-Berlanga, J. M. Gimenez-Gomez, and C. Vilella. Enjoying cooperative games: The r package gametheory. Working Paper No. 06; CREIP; Spain, March 2015.
D. B. Gillies. Some Theorems on n-Person Games. PhD thesis, Princeton University, 1953.
G. Owen. On the core of linear production games. Mathematical Programming, 9:358–370, 1975.
D. Schmeidler. The nucleolus of a characteristic function game. SIAM Jounal of Applied Mathematics, 17:1163–1170, 1969.
L. S. Shapley. A value for n-person games. Contributions to the theory games II, 28:124–131, 1953.
J. R. G. van Gellekom et al. Characterization of the owen set of linear production processes. Games and Economic Behavior, 32:139–156, 2000.
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