Minimum norm solutions for cooperative games |
| |
Authors: | Klaus Kultti Hannu Salonen |
| |
Affiliation: | (1) Department of Economics, University of Helsinki, 00014 Helsinki, Finland;(2) Department of Economics, University of Turku, 20014 Turku, Finland |
| |
Abstract: | A solution f for cooperative games is a minimum norm solution, if the space of games has a norm such that f(v) minimizes the distance (induced by the norm) between the game v and the set of additive games. We show that each linear solution having the inessential game property is a minimum norm solution. Conversely, if the space of games has a norm, then the minimum norm solution w.r.t. this norm is linear and has the inessential game property. Both claims remain valid also if solutions are required to be efficient. A minimum norm solution, the least square solution, is given an axiomatic characterization. |
| |
Keywords: | Cooperative games Solutions Minimum norm Banzhaf value |
本文献已被 SpringerLink 等数据库收录! |
|