Article ID: | iaor20051887 |
Country: | Netherlands |
Volume: | 154 |
Issue: | 3 |
Start Page Number: | 609 |
End Page Number: | 625 |
Publication Date: | May 2004 |
Journal: | European Journal of Operational Research |
Authors: | Molina Elisenda, Tejada Juan |
Keywords: | programming: linear |
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.