Enjoying cooperative games: The R package GameTheory

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摘要

This paper focuses on cooperative games with transferable utility. We propose the computation of three solutions, the Shapley value for n agents, the nucleolus with a maximum of four agents and the per capita nucleolus. The current approach is also focused on conflicting claims problems, a particular case of coalitional games. We provide the computation of the most well-known and used claims solutions: the proportional, the constrained equal awards, the constrained equal losses, the Talmud, the random arrival and the adjusted proportional rules.

论文关键词:Cooperative game,Shapley value,Nucleolus,Claims problem,Bankruptcy

论文评审过程:Received 4 September 2015, Revised 20 December 2016, Accepted 6 February 2017, Available online 2 March 2017, Version of Record 2 March 2017.

论文官网地址:https://doi.org/10.1016/j.amc.2017.02.010