Nonsymmetric values under Hart-Mass-Colell consistency |
| |
Authors: | N I Naumova |
| |
Institution: | (1) Department of Mathematics and Mechanics, St.Petersburg State University, Universitetsky pr.28, Petrodvoretz, St.Petersburg, 198504, Russia |
| |
Abstract: | Let f be a single valued solution for cooperative TU games that satisfies inessential game property, efficiency, Hart Mas-Colell
consistency and for two person games is strictly monotonic and individually unbounded. Then there exists a family of strictly
increasing functions associated with players that completely determines f. For two person games, both players have equal differences between their functions at the solution point and at the values
of characteristic function of their singletons. This solution for two person games is uniquely extended to n person games due to consistency and efficiency. The extension uses the potential with respect to the family of functions
and generalizes potentials introduced by Hart and Mas Colell 6]. The weighted Shapley values, the proportional value described
by Ortmann 11], and new values generated by power functions are among these solutions.
The author is grateful to anonymous referee and Associate Editor for their comments and suggestions. |
| |
Keywords: | Shapley value potential consistency claim problem |
本文献已被 SpringerLink 等数据库收录! |
|