The Shapley Value and Related Solution Concepts

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10104790" target="_blank" >RIV/00216208:11320/11:10104790 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/9780470400531.eorms0768" target="_blank" >http://dx.doi.org/10.1002/9780470400531.eorms0768</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/9780470400531.eorms0768" target="_blank" >10.1002/9780470400531.eorms0768</a>

Result language
angličtina
Original language name
The Shapley Value and Related Solution Concepts
Original language description
The Shapley value not only belongs to the most important solution concepts of cooperative game theory but it is also an easily tractable mathematical object with a remarkably wide range of applications. After necessary preliminaries, we introduce basic properties and characterizations of the Shapley value for cooperative games with transferable utility. Then we deal with some of its extensions appearing frequently in the literature. In particular, we present the Aumann-Dr?ze and Owen generalizations togames with a coalition structure, and the Myerson extension to games with a graph structure. We conclude with the probabilistic values and a brief discussion of application to cost allocation problems.
Czech name
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Czech description
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Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Book/collection name
Wiley Encyclopedia of Operations Research and Management Science
ISBN
978-0-470-40063-0
Number of pages of the result
13
Pages from-to
1-13
Number of pages of the book
6408
Publisher name
Wiley-Blackwell
Place of publication
Chichester
UT code for WoS chapter
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