The potential of Hart and Mas-Colell for values of graph-restricted games.

J. M. Bilbao Arrese; Jorge López Vázquez

Qüestiió (1996)

  • Volume: 20, Issue: 1, page 71-86
  • ISSN: 0210-8054

Abstract

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This paper analyzes a model of formation of connected coalitions in a cooperative game. This model is a communication situation, and the Shapley value of this graph-restricted game is the Myerson value. The potential function for cooperative games was defined by Hart and Mas-Colell, and Winter showed that the Myerson value admits a potential function. We study a recursive procedure for computing the potential of the Myerson value. In section 3, we use the Myerson value for measuring voting power in the Spanish and the Andalusian Parliaments.

How to cite

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Bilbao Arrese, J. M., and López Vázquez, Jorge. "El potencial de Hart y Mas-Colell para juegos restringidos por grafos.." Qüestiió 20.1 (1996): 71-86. <http://eudml.org/doc/40221>.

@article{BilbaoArrese1996,
author = {Bilbao Arrese, J. M., López Vázquez, Jorge},
journal = {Qüestiió},
keywords = {Juegos cooperativos; Teoría de grafos; -person games; Shapley value; Myerson value},
language = {spa},
number = {1},
pages = {71-86},
title = {El potencial de Hart y Mas-Colell para juegos restringidos por grafos.},
url = {http://eudml.org/doc/40221},
volume = {20},
year = {1996},
}

TY - JOUR
AU - Bilbao Arrese, J. M.
AU - López Vázquez, Jorge
TI - El potencial de Hart y Mas-Colell para juegos restringidos por grafos.
JO - Qüestiió
PY - 1996
VL - 20
IS - 1
SP - 71
EP - 86
LA - spa
KW - Juegos cooperativos; Teoría de grafos; -person games; Shapley value; Myerson value
UR - http://eudml.org/doc/40221
ER -

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