Matching games: The least core and the nucleolus

• 成果类型: Article
• 署名作者: Kern, W; Paulusma, D
• 署名单位: University of Twente
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.28.2.294.14477
• 发表日期: 2003
• 页码: 294-308
• 关键词: spanning tree games; computational-complexity; algorithm

摘要

A matching game is a cooperative game defined by a graph G = (N, E). The player set is N and the value of a coalition S subset of or equal to N is defined as the size of a maximum matching in the subgraph induced by S. We show that the nucleolus of such games can be computed efficiently. The result is based on an alternative characterization of the least core, which may be of independent interest. The general case of weighted matching games remains unsolved.