论文信息 - Cooperative games in facility location situations with regional fixed costs

Cooperative games in facility location situations with regional fixed costs

A continuous single-facility location problem, where the fixed cost (or installation cost) depends on the region where the new facility is located, is studied by mean of cooperative Game Theory tools. Core solutions are proposed for the total cost allocation problem. Sufficient conditions in order to have a nonempty core are given, then the Weber problem with regional fixed costs is studied.

Lina Mallozzi

[1] Jacques-François Thisse,et al. On hotelling's "Stability in competition" , 1979 .

[2] Martin Skutella,et al. Cooperative facility location games , 2000, SODA '00.

[3] Hervé Moulin,et al. Eighty-nine exercises with solutions from Game theory for the social sciences, second and revised edition , 1986 .

[4] P. Pardalos,et al. Pareto optimality, game theory and equilibria , 2008 .

[5] H. Hotelling. Stability in Competition , 1929 .

[6] W. Marsden. I and J , 2012 .

[7] Saïd Salhi,et al. A Continuous Location-Allocation Problem with Zone-Dependent Fixed Cost , 2005, Ann. Oper. Res..

[8] Said Salhi,et al. Facility Location: A Survey of Applications and Methods , 1996 .

[9] Lina Mallozzi,et al. Noncooperative facility location games , 2007, Oper. Res. Lett..

[10] A. Volgenant,et al. Facility location: a survey of applications and methods , 1996 .

[11] Justo Puerto,et al. Location Theory - A Unified Approach , 2005 .

[12] F. Plastria,et al. On the convergence of the Weiszfeld algorithm for continuous single facility location–allocation problems , 2008 .

[13] H. Moulin. Game theory for the social sciences , 1982 .

[14] R. Stephenson. A and V , 1962, The British journal of ophthalmology.

[15] Daniel Granot. The Role of Cost Allocation in Locational Models , 1987, Oper. Res..

[16] Justo Puerto,et al. On the core of a class of location games , 2001, Math. Methods Oper. Res..