A proportional value for cooperative games with a coalition structure

被引:0
作者
Frank Huettner
机构
[1] Université de Franche-Comté,
[2] CRESE (EA 3190),undefined
[3] LSI Leipziger Spieltheoretisches Institut,undefined
[4] HHL Leipzig Graduate School of Management,undefined
来源
Theory and Decision | 2015年 / 78卷
关键词
Shapley value; Owen value; Proportional value; Consistency;
D O I
暂无
中图分类号
学科分类号
摘要
We introduce a solution concept for cooperative games with transferable utility and a coalition structure that is proportional for two-player games. Our value is obtained from generalizing a proportional value for cooperative games with transferable utility (Ortmann 2000) in a way that parallels the extension of the Shapley value to the Owen value. We provide two characterizations of our solution concept, one that employs a property that can be seen as the proportional analog to Myerson’s balanced contribution property; and a second one that relies on a consistency property.
引用
收藏
页码:273 / 287
页数:14
相关论文
共 19 条
[1]  
Alonso-Meijide JM(2011)The proportional coalitional Shapley value Expert Systems with Applications 6 6967-6979
[2]  
Carreras F(2010)Solidarity in games with a coalition structure Mathematical Social Sciences 60 196-203
[3]  
Calvo E(1996)The principle of balanced contributions and hierarchies of cooperation Mathematical Social Sciences 31 171-182
[4]  
Gutiérrez E(1989)Potential, value, and consistency Econometrica 57 589-614
[5]  
Calvo E(2003)Semiproportional values for TU games Mathematical Method 57 495-511
[6]  
Lasaga J(1987)Equal or proportional division of a surplus, and other methods International Journal of Game Theory 16 161-186
[7]  
Winter E(1980)Conference structures and fair allocation rules International Journal of Game Theory 9 169-182
[8]  
Hart S(2000)The proportional value for positive cooperative games Mathematical Methods of Operations Research 51 235-248
[9]  
Mas-Colell A(1955)Two concepts of rules The Philosophical Review 64 3-32
[10]  
Khmelnitskaya AB(1988)Uncertainty and incentives for nonpoint pollution control Journal of Environmental Economics and Management 15 87-98