TY - JOUR

T1 - Neighbor games and the leximax solution

AU - Klijn, F.

AU - Vermeulen, A.J.

AU - Hamers, H.

AU - Solymosi, T.

AU - Nakabeppu, Y.

AU - Villar, J.P.

PY - 2003/1/1

Y1 - 2003/1/1

N2 - 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.

AB - 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.

U2 - 10.1007/s001860300298

DO - 10.1007/s001860300298

M3 - Article

SN - 1432-2994

VL - 58

SP - 191

EP - 208

JO - Mathematical Methods of Operations Research

JF - Mathematical Methods of Operations Research

ER -