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<p>Bergantiños et&#xa0;al. (<CitationRef CitationID="CR3">2023</CitationRef>) introduce cooperative tuna fishing games. We prove that the core of this game is not empty. We give an explicit formula for the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\tau \)</EquationSource> </InlineEquation>-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.</p>

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Cooperative game theoretic results from the tuna fishing problem

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年10月28日

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  • Gustavo Bergantiños,
  • Adriana Navarro-Ramos

摘要

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.