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On the Core of Routing Games

Listed author(s):
  • Jean Derks

    (Department of Mathematics, Faculty of General Sciences, University of Limburg, P.O. Box 616, 6200 MD Maastricht, The Netherlands)

  • Jeroen Kuipers

    (Department of Mathematics, Faculty of General Sciences, University of Limburg, P.O. Box 616, 6200 MD Maastricht, The Netherlands)

A repairman makes a round-trip along a set of customers. He starts in his home location, visits each customer exactly once, and returns home. The cost of his trip has to be shared by the customers. A cooperative cost game, called routing game, is associated with this allocation problem, and an {\cal O}(n2) algorithm is given which computes a core element of a routing game if the core is non-empty. The non-emptiness of the core depends on the tour which is traversed by the repairman. Several procedures are given to construct tours which guarantee the non-emptiness of the core.

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Article provided by Springer & Game Theory Society in its journal International Journal of Game Theory.

Volume (Year): 26 (1997)
Issue (Month): 2 ()
Pages: 193-205

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Handle: RePEc:spr:jogath:v:26:y:1997:i:2:p:193-205
Note: Received May 1993 Revised version May 1994
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