Population monotonic solutions on convex games |
| |
Authors: | Toru Hokari |
| |
Institution: | (1) Institute of Economic Research, Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto 606-8501, JAPAN (E-mail: hokari@kier.kyoto-u.ac.jp), JP |
| |
Abstract: | The Dutta-Ray solution and the Shapley value are two well-known examples of population-monotonic solutions on the domain of convex games. We provide a new formula for the Dutta-Ray solution from which population-monotonicity immediately follows. Then we define a new family of population-monotonic solutions, which we refer to as “sequential Dutta-Ray solutions.” We also show that it is possible to construct several symmetric and population-monotonic solutions by using the solutions in this family.
Received September 1998/Revised version: December 1999 |
| |
Keywords: | : Population monotonicity convex games the Dutta-Ray solution the Shapley value |
本文献已被 SpringerLink 等数据库收录! |
|