Neighbour Games and the Leximax Solution

F. Klijn, D. Vermeulen, H.J.M. Hamers, T. Solymosi, S.H. Tijs, J. Pere Villar

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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 p3 for calculating the leximax solution (cf. Arin and I˜narra (1997)) of neighbour games, where p is the number of players.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages19
Publication statusPublished - 1999

Publication series

NameCentER Discussion Paper


  • Neighbour games
  • Leximax solution
  • assignment games


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