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Neigbour games and the leximax solution

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Author Info
Klijn, F.
Vermeulen, D.
Hamers, H. (Tilburg University, Center for Economic Research)

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Abstract

Neighbour games arise from certain matching or sequencing situations in which only some specific pairs of players can obtain a positive gain. As a consequence, the class of neighbour games is the intersection of the class of assignment games (Shapley and Shubik (1972)) and the class of component additive games (Curiel et al. (1994)). We first present some elementary features of neighbour games. After that we provide a polynomially bounded algorithm of order p 3 for calculating the leximax solution (cf. Arin and Inarra (1997)) of neighbour games, where p is the number of players.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 110.

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Date of creation: 1999
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Handle: RePEc:dgr:kubcen:1999110

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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Arin, J. & Inarra, E., 1997. "Consistency and Egalitarianism: The Egalitarian Set," ASSET - Instituto De Economia Publica 163, ASSET (Association of Southern European Economic Theorists).
  2. Hamers, H. & Klijn, F. & Solymosi, T., 1999. "On the nucleolus of neighbour games," Discussion Paper 111, Tilburg University, Center for Economic Research. [Downloadable!]
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  1. Hamers, H. & Klijn, F. & Solymosi, T., 1999. "On the nucleolus of neighbour games," Discussion Paper 111, Tilburg University, Center for Economic Research. [Downloadable!]
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