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- Title
A Unified Approach To The Myerson Value And The Position Value.
- Authors
Gómez, Daniel; González-Arangüena, Enrique; Manuel, Conrado; Owen, Guillermo; Del Pozo, Monica
- Abstract
We reconsider the Myerson value and the position value for communication situations. In case the underlying game is a unanimity game, we show that each of these values can be computed using the inclusion--exclusion principle. Linearity of both values permits us to calculate them without needing the dividends of the induced games (graph-restricted game and link game). The expression of these dividends is only derived in the existing literature for special communication situations. Moreover, the associated inclusion--exclusion decomposability property depends on what we have called the graph allocation rule. This rule is the relative degree (relative indicator) for the position value (Myerson value).
- Subjects
COMMUNICATION; COALITIONS; GAME theory; DIVIDENDS; GRAPH theory
- Publication
Theory & Decision, 2004, Vol 56, Issue 1/2, p63
- ISSN
0040-5833
- Publication type
Article
- DOI
10.1007/s11238-004-5636-4