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Population monotonicity in matching games
Authors:Xiao  Han  Fang  Qizhi
Affiliation:1.School of Mathematical Sciences, Ocean University of China, Qingdao, China
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Abstract:

The matching game is a cooperative profit game defined on an edge-weighted graph, where the players are the vertices and the profit of a coalition is the maximum weight of matchings in the subgraph induced by the coalition. A population monotonic allocation scheme is a collection of rules defining how to share the profit among players in each coalition such that every player is better off when the coalition expands. In this paper, we study matching games and provide a necessary and sufficient characterization for the existence of population monotonic allocation schemes. Our characterization implies that whether a matching game admits population monotonic allocation schemes can be determined efficiently.

Keywords:
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