Enjoying cooperative games: The R package GameTheory

Identificador:  PC:2270

Handle: https://hdl.handle.net/20.500.11797/PC2270

Autors:  Vilella Bach, Misericòrdia; Giménez Gómez, José M. (José Manuel); Cano Berlanga, Sebastian

Resum:
This paper focuses on cooperative games with transferable utility. We propose the computation of two solutions, the Shapley value for n agents and the nucleolus with a maximum of four agents. 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 and the random arrival rules. Keywords: Cooperative game, Shapley value, nucleolus, claims problem, claims rule, bankruptcy.