TY - JOUR

T1 - Values for games with two-level communication structures

AU - Khmelnitskaya, Anna

PY - 2014/3/31

Y1 - 2014/3/31

N2 - We consider a new model of a TU game endowed with both coalition and two-level communication structures that applies to various network situations. The approach to the value is close to that of both Myerson (1977) and Aumann and Drèze (1974): it is based on ideas of component efficiency and of one or another deletion link property, and it treats an a priori union as a self-contained unit; moreover, our approach incorporates also the idea of the Owen’s quotient game property (1977). The axiomatically introduced values possess an explicit formula representation and in many cases can be quite simply computed. The results obtained are applied to the problem of sharing an international river, possibly with a delta or multiple sources, among multiple users without international firms.

AB - We consider a new model of a TU game endowed with both coalition and two-level communication structures that applies to various network situations. The approach to the value is close to that of both Myerson (1977) and Aumann and Drèze (1974): it is based on ideas of component efficiency and of one or another deletion link property, and it treats an a priori union as a self-contained unit; moreover, our approach incorporates also the idea of the Owen’s quotient game property (1977). The axiomatically introduced values possess an explicit formula representation and in many cases can be quite simply computed. The results obtained are applied to the problem of sharing an international river, possibly with a delta or multiple sources, among multiple users without international firms.

U2 - 10.1016/j.dam.2013.10.019

DO - 10.1016/j.dam.2013.10.019

M3 - Article

VL - 166

SP - 34

EP - 50

JO - Discrete Applied Mathematics

JF - Discrete Applied Mathematics

SN - 0166-218X

ER -