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Simple combinatorial optimisation cost games

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Author Info
Velzen, Bas van (Tilburg University, Center for Economic Research)
Abstract

In this paper we introduce the class of simple combinatorial optimisation cost games, which are games associated to {0, 1}-matrices. A coalitional value of a combinatorial optimisation game is determined by solving an integer program associated with this matrix and the characteristic vector of the coalition. For this class of games, we will characterise core stability and totally balancedness. We continue by characterising exactness and largeness. Finally, we conclude the paper by applying our main results to minimum colouring games and minimum vertex cover games.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 118.

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Date of creation: 2005
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Handle: RePEc:dgr:kubcen:2005118

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Related research
Keywords: totally balancedness; largeness; exactness;

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  1. Velzen, S. van & Hamers, H.J.M. & Solymosi, T., 2004. "Core stability in chain-component additive games," Discussion Paper 101, Tilburg University, Center for Economic Research. [Downloadable!]
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  2. T. E. S. Raghavan & Tamás Solymosi, 2001. "Assignment games with stable core," International Journal of Game Theory, Springer, vol. 30(2), pages 177-185. [Downloadable!] (restricted)
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