Abstract
There are numerous situations in which variability reduction is desirable. We examine cases where such reductions can be achieved by cooperating agents who share similar interests. Our goal is to quantify the contribution of each of the agents toward this reduction. We model this situation as a cooperative game in which the cost is defined as the minimal standard deviation the cooperating agents can achieve. We show that this game is subadditive and has a nonempty core. We derive special presentations for the Shapley and Banzhaf values.
Original language | English |
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Article number | 1950015 |
Journal | International Game Theory Review |
Volume | 22 |
Issue number | 3 |
DOIs | |
State | Published - 1 Sep 2020 |
Bibliographical note
Publisher Copyright:© 2020 World Scientific Publishing Company.
Keywords
- Cooperative game theory
- pooling risk
- risk measure