Population monotonicity in matching games

Han Xiao () and Qizhi Fang ()
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Han Xiao: Ocean University of China
Qizhi Fang: Ocean University of China

Journal of Combinatorial Optimization, 2022, vol. 43, issue 4, No 1, 699-709

Abstract: 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: Cooperative game theory; Matching game; Population monotonic allocation scheme; 05C57; 91A12; 91A43; 91A46 (search for similar items in EconPapers)
JEL-codes: C71 C78 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10878-021-00804-3

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