2017
DOI: 10.1016/j.amc.2017.02.010
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Enjoying cooperative games: The R package GameTheory

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.

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Cited by 20 publications
(17 citation statements)
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“…x=1 β x,m s ). The application of this method is performed using the R programming package 'GameTheory' to solve cooperative games [51]. The results for the Shapley value are obtained with R version 3.5.1 on Windows 10 version 1903.…”
Section: Step 6b: Apply Allocation Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…x=1 β x,m s ). The application of this method is performed using the R programming package 'GameTheory' to solve cooperative games [51]. The results for the Shapley value are obtained with R version 3.5.1 on Windows 10 version 1903.…”
Section: Step 6b: Apply Allocation Methodsmentioning
confidence: 99%
“…The results for the Shapley value are obtained with R version 3.5.1 on Windows 10 version 1903. For a detailed description of the Shapley value method, refer to [50,51]. The Shapley value results are then compared with the original coalition total worth to reach the fairest distribution of the computed benefits.…”
Section: Step 6b: Apply Allocation Methodsmentioning
confidence: 99%
“…Fromen [41] introduced an algorithm for solving this sequence of LPs. in the optimization programs of the nucleolus [30].…”
Section: Nucleolusmentioning
confidence: 99%
“…R with () = 0. For each coalition S N, The real number (S) denotesthe maximal worth the members in S can obtain or the cost savings they can make if they cooperate[30,31].…”
mentioning
confidence: 99%
“…For a deeper introduction to GT and the main differences between cooperative and non-cooperative GT, refer toCano-Berlanga et al (2017).…”
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confidence: 99%