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.
| Package: | coopProductGame |
| Type: | Package |
| Version: | 2.0 |
| Date: | 2018-07-01 |
| License: | GPL-3 |
The most important function is coopProductGame. Other functions included in the package are auxiliary ones that can be used independently.
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<U+2013>370, 1975.
D. Schmeidler. The nucleolus of a characteristic function game. SIAM Jounal of Applied Mathematics, 17:1163<U+2013>1170, 1969.
L. S. Shapley. A value for n-person games. Contributions to the theory games II, 28:124<U+2013>131, 1953.
J. R. G. van Gellekom et al. Characterization of the owen set of linear production processes. Games and Economic Behavior, 32:139<U+2013>156, 2000.