Description Details Author(s) References

Computes several cooperative games and allocation rules associated with minimum cost spanning tree problems and minimum cost arborescence problems.

Package: | cooptrees |

Type: | Package |

Version: | 1.0 |

Date: | 2014-09-01 |

License: | GPL-3 |

The most important functions are mstCooperative and maCooperative. The other functions included in the package are auxiliary ones that can be used independently.

Manuel Fontenla

Maintainer: Manuel Fontenla <[email protected]>

B. Dutta and D. Mishra, "Minimum cost arborescences", Games and Economic Behavior, vol. 74, pp. 120-143, Jan. 2012.

C. G. Bird, "On Cost Allocation for a Spanning Tree: A Game Theoretic Approach", Networks, no. 6, pp. 335-350, 1976.

B. Dutta and A. Kar, "Cost monotonicity, consistency and minimum cost spanning tree games", Games and Economic Behavior, vol. 48, pp. 223-248, Aug. 2004.

A. Kar, "Axiomatization of the Shapley Value on Minimum Cost Spanning Tree Games", Games and Economic Behavior, vol. 38, pp. 265-277, Feb. 2002.

G. Bergantiños and J. J. Vidal-Puga, "A fair rule in minimum cost spanning tree problems", Journal of Economic Theory, vol. 137, pp. 326-352, Nov. 2007.

G. Bergantiños and J. J. Vidal-Puga, "The optimistic TU game in minimum cost spanning tree problems", International Journal of Game Theory, vol. 36, pp. 223-239, Feb. 2007.

V. Feltkamp, S. H. Tijs, S. Muto, "On the irreducible core and the equal remaining obligation rule of minimum cost extension problems", Mimeo, Tilburg University, 1994.

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