coopProductGame-package: Cooperative aspects of linear product games

Description Details Author(s) References


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.


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.

coopProductGame documentation built on Aug. 25, 2018, 5:04 p.m.