Neighbour Games and the Leximax Solution
AbstractNeighbour 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 p3 for calculating the leximax solution (cf. Arin and I˜narra (1997)) of neighbour games, where p is the number of players.
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Bibliographic InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 1999-110.
Date of creation: 1999
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Neighbour games; Leximax solution; assignment games;
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
This paper has been announced in the following NEP Reports:
- NEP-ALL-1999-12-21 (All new papers)
- NEP-GTH-1999-12-21 (Game Theory)
- NEP-IND-1999-12-21 (Industrial Organization)
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.:
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"On the nucleolus of neighbor games,"
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- Javier Arin & Jeroen Kuipers & Dries Vermeulen, 2008. "An axiomatic approach to egalitarianism in TU-games," International Journal of Game Theory, Springer, vol. 37(4), pages 565-580, December.
- Hamers, H.J.M. & Klijn, F. & Solymosi, T. & Tijs, S.H. & Vermeulen, D., 1999.
"On the Nucleolus of Neighbour Games,"
1999-111, Tilburg University, Center for Economic Research.
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