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On the core of multiple longest traveling salesman games

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Author Info
Borm, P.E.M.
Hamers, H.J.M.
Estevez-Fernandez, A. (Tilburg University, Center for Economic Research)

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Abstract

In this paper we introduce multiple longest traveling salesman (MLTS) games. An MLTS game arises from a network in which a salesman has to visit each node (player) precisely once, except its home location, in an order that maximizes the total reward. First it is shown that the value of a coalition of an MLTS game is determined by taking the maximum of suitable combinations of one and two person coalitions. Secondly it is shown that MLTS games with /ve or less players have a nonempty core. However, a six player MLTS game may have an empty core. For the special instance where the reward between a pair of nodes is equal to 0 or 1, we provide relations between the structure of the core and the underlying network.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 127.

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Date of creation: 2003
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Handle: RePEc:dgr:kubcen:2003127

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Keywords: core;

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  1. Arantza Estévez-Fernández & Peter Borm & Marc Meertens & Hans Reijnierse, 2009. "On the core of routing games with revenues," International Journal of Game Theory, Springer, vol. 38(2), pages 291-304, June. [Downloadable!] (restricted)
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