cooptrees-package: Cooperative aspects of optimal trees in weighted graphs

In cooptrees: Cooperative aspects of optimal trees in weighted graphs

Description

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

Details

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.

Author(s)

Manuel Fontenla

Maintainer: Manuel Fontenla <[e-mail]>

References

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.

cooptrees documentation built on May 2, 2019, 3:59 p.m.