Subgradients of convex games and public good games

被引:0
作者
Wang, Yuntong [1 ]
机构
[1] Univ Windsor, Dept Econ, Windsor, ON N9B 3P4, Canada
关键词
convex games; subgradients; public good economy;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The subgradients of a con-vex game at a given coalition of agents are defined. Given a public good economy, a convex game called public good game is generated. However, not all convex games are public good games. This paper uses subgradients to identify certain classes of public good games. In particular, we find a class of public good games which is a strict subset of convex games and a strict superset of symmetric convex games in the four-agent case. We provide sufficient conditions to identify that class.
引用
收藏
页码:13 / 26
页数:14
相关论文
共 7 条
[1]  
Bondareva O.N., 1963, PROBL KIBERN, V10, P119
[2]   LINDAHLS SOLUTION AND CORE OF AN ECONOMY WITH PUBLIC GOODS [J].
FOLEY, DK .
ECONOMETRICA, 1970, 38 (01) :66-&
[3]  
FUJISHIGE S, 1984, MATH PROGRAM STUD, V22, P113, DOI 10.1007/BFb0121012
[4]  
Moulin H., 1995, Cooperative microeconomics: a game-theoretic introduction
[5]  
Rockafellar R. T., 1970, Convex Analysis
[6]   MARKET GAMES [J].
SHAPLEY, LS ;
SHUBIK, M .
JOURNAL OF ECONOMIC THEORY, 1969, 1 (01) :9-25
[7]  
SPRUMONT Y, 1997, INT J GAME THEORY, V133, P1