abstract

• The study of solution concepts in the theory of cooperative games aims to provide solutions to practical situations where the main problem is to specify a rule to divide a certain amount obtained with the cooperation of various players. The Shapley value is one of the fundamental solution concepts in the theory of cooperative games. In this article, we introduce a procedure to obtain the Shapley value using the basic principle of sharing a good between two parties. In particular, we provide a simple method to introduce the Shapley value and a recursive formula to compute it. We do this by providing a recursive procedure to extend the so-called standard solution to solve 2-player cooperative games. In our main result, we characterize the Shapley value using a single recursive formula which can be used to implement the Shapley value computationally.

authors

• Téllez Téllez Iván

publication date

• 2022-01-01

published in

• International Journal of Combinatorial Optimization Problems %26 Informatics  Journal

keywords

• adjusted games, binary partitions, solution concepts, estándar solution

Digital Object Identifier (DOI)

PubMed ID

start page

• 40

end page

• 46

volume

• 13

issue

• 2