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Enjoying cooperative games: The R package GameTheory

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  • Cano Berlanga, Sebastian
  • Giménez Gómez, José M. (José Manuel)
  • Vilella Bach, Misericòrdia

Abstract

This paper focuses on cooperative games with transferable utility. We propose the computation of two solutions, the Shapley value for n agents and the nucleolus with a maximum of four agents. The current approach is also focused on conflicting claims problems, a particular case of coalitional games. We provide the computation of the most well-known and used claims solutions: the proportional, the constrained equal awards, the constrained equal losses, the Talmud and the random arrival rules. Keywords: Cooperative game, Shapley value, nucleolus, claims problem, claims rule, bankruptcy.

Suggested Citation

  • Cano Berlanga, Sebastian & Giménez Gómez, José M. (José Manuel) & Vilella Bach, Misericòrdia, 2015. "Enjoying cooperative games: The R package GameTheory," Working Papers 2072/247653, Universitat Rovira i Virgili, Department of Economics.
    • Handle: RePEc:urv:wpaper:2072/247653
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    References listed on IDEAS

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    1. Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Østerdal, Lars Peter, 2012. "A unifying framework for the problem of adjudicating conflicting claims," Journal of Mathematical Economics, Elsevier, vol. 48(2), pages 107-114.
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    11. Guajardo, Mario & Jörnsten, Kurt, 2015. "Common mistakes in computing the nucleolus," European Journal of Operational Research, Elsevier, vol. 241(3), pages 931-935.
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    Cited by:

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    2. Khalilzadeh, Jalayer & Wang, Youcheng, 2018. "The economics of attitudes: A different approach to utility functions of players in tourism marketing coalitional networks," Tourism Management, Elsevier, vol. 65(C), pages 14-28.
    3. Chang, Hee-In & Chun, Youngsub & Her, Yunji, 2021. "A fair and stable benefit-sharing for the Northeast Asia Supergrid under flexible networks," Energy Economics, Elsevier, vol. 103(C).

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    Jocs cooperatius; 33 - Economia;

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