Symmetries of Quasi-Values
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F13%3A00398169" target="_blank" >RIV/67985556:_____/13:00398169 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-642-41392-6_14" target="_blank" >http://dx.doi.org/10.1007/978-3-642-41392-6_14</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-642-41392-6_14" target="_blank" >10.1007/978-3-642-41392-6_14</a>
Alternative languages
Result language
angličtina
Original language name
Symmetries of Quasi-Values
Original language description
According to Shapley?s game-theoretical result, there exists a unique game value of finite cooperative games that satisfies axioms on additivity, efficiency, null-player property and symmetry. The original setting requires symmetry with respect to arbitrary permutations of players. We analyze the consequences of weakening the symmetry axioms and study quasi-values that are symmetric with respect to permutations from a group G??S n . We classify all the permutation groups G that are large enough to assure a unique G-symmetric quasi-value, as well as the structure and dimension of the space of all such quasi-values for a general permutation group G. We show how to construct G-symmetric quasi-values algorithmically by averaging certain basic quasi-values(marginal operators).
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GBP402%2F12%2FG097" target="_blank" >GBP402/12/G097: DYME-Dynamic Models in Economics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Algorithmic Game Theory - 6th International Symposium, SAGT 2013
ISBN
978-3-642-41391-9
ISSN
0302-9743
e-ISSN
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Number of pages
12
Pages from-to
159-170
Publisher name
Springer
Place of publication
Berlin
Event location
Aachen
Event date
Oct 21, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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