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On tuna fishing games

Author

Listed:
  • Gustavo Bergantiños

    (Universidade de Vigo)

  • Adriana Navarro-Ramos

    (UGR - Universidad de Granada = University of Granada)

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, we provide an explicit formula for the nucleolus. Moreover, the core and the core cover coincide.

Suggested Citation

  • Gustavo Bergantiños & Adriana Navarro-Ramos, 2025. "On tuna fishing games," Working Papers hal-05008418, HAL.
    • Handle: RePEc:hal:wpaper:hal-05008418
    Note: View the original document on HAL open archive server: https://hal.science/hal-05008418v1
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