Path cooperative games

Qizhi Fang, Bo Li, Xiaohan Shan, Xiaoming Sun

Research output: Journal article publicationJournal articleAcademic researchpeer-review


Cooperative games provide an appropriate framework for fair and stable profit distribution in multiagent systems. In this paper, we study the algorithmic issues on path cooperative games that arise from the situations where some commodity flows through a network. In these games, a coalition of edges or vertices is successful if they establish a path from the source to the sink in the network, and lose otherwise. Based on dual theory of linear programming and the relationship with flow games, we provide the characterizations on the core, CS-core, least-core and nucleolus of path cooperative games, which implies all of these solution concepts are polynomial-time solvable for path cooperative games.

Original languageEnglish
Pages (from-to)211-229
Number of pages19
JournalJournal of Combinatorial Optimization
Issue number1
Publication statusPublished - 1 Jul 2018
Externally publishedYes


  • Core
  • CS-core
  • Least-core
  • Nucleolus
  • Path cooperative games

ASJC Scopus subject areas

  • Computer Science Applications
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Theory and Mathematics
  • Applied Mathematics


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