Cooperative game theoretic results from the tuna fishing problem

Bergantiños, Gustavo; Navarro-Ramos, Adriana

doi:10.1007/s00182-025-00963-1

s00182-025-00963-1.pdf (3.213Mb)

Identificadores

URI: https://hdl.handle.net/10481/108145

DOI: 10.1007/s00182-025-00963-1

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Editorial

Springer

Materia

Tuna fishing games

Core

τ-value

Date

2025-10-28

Referencia bibliográfica

Bergantiños, G., Navarro-Ramos, A. Cooperative game theoretic results from the tuna fishing problem. Int J Game Theory 54, 41 (2025). https://doi.org/10.1007/s00182-025-00963-1

Sponsorship

Universidade de Vigo / CISUG (open access publishing)

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 τ -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.

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