Neighbor games and the leximax solution

Flip Klijn, Dries Vermeulen, Herbert Hamers, Tamás Solymosi, Stef Tijs and Joan Pere Villar

Mathematical Methods of Operations Research, 2003, vol. 58, issue 2, 208 pages

Abstract: Neighbor 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 neighbor 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 neighbor games. After that we provide a polynomially bounded algorithm of order p 3 for calculating the leximax solution (cf. Arin and Iñarra (1997)) of neighbor games, where p is the number of players. Copyright Springer-Verlag 2003

Keywords: Neighbor Games; Leximax Solution; Assignment Games (search for similar items in EconPapers)
Date: 2003
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Working Paper: Neighbour Games and the Leximax Solution (1999)
Working Paper: Neighbour Games and the Leximax Solution (1999)
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DOI: 10.1007/s001860300298

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