Work

Cooperative game theoretic results from the tuna fishing problem

Year: 2025

Type: article

Abstract: Bergantiños et al. (2023) introduce cooperative tuna fishing games. We prove that the core of this game is not empty. We give an explicit formula for the $$\tau $$ -value. We also study the distance game associated with tuna fishing games and prove that it is a generalized big boss game. In most practical cases, the number of vessels is two or three. In these cases, the core and the core cover coincide. Moreover, we provide an explicit formula for the nucleolus.

Source: International Journal of Game Theory

DOI: 10.1007/s00182-025-00963-1

Authors: Gustavo Bergantiños, Adriana Navarro-Ramos

Institutions: Universidade de Vigo, Universidad de Granada

Language: English

Topic: Game Theory and Voting Systems

Subfield: Economics and Econometrics

Field: Economics, Econometrics and Finance

Domain: Social Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Universidade de Vigo, Agencia Estatal de Investigación