Cores of convex and strictly convex games

• 成果类型: Article
• 署名作者: Gonzalez-Diaz, Julio; Sanchez-Rodriguez, Estela
• 署名单位: Northwestern University; Universidade de Vigo; Universidade de Vigo
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2007.03.003
• 发表日期: 2008
• 页码: 100-105
• 关键词: cooperative TU games; Convex games; combinatorial complexity; Pascal's triangle

摘要

We follow the path initiated by Shapley in 1971 and study the geometry of the core of convex and strictly convex games. We define what we call face games and use them to study the combinatorial complexity of the core of a strictly convex game. Remarkably, we present a picture that summarizes our results with the aid of Pascal's triangle. (C) 2007 Elsevier Inc. All rights reserved.