Shapley mappings and the cumulative value for n-person games with fuzzy coalitions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F08%3A00092641" target="_blank" >RIV/67985556:_____/08:00092641 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21230/07:00138293
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Shapley mappings and the cumulative value for n-person games with fuzzy coalitions
Original language description
We prove existence and uniqueness of the so-called Shapley mapping, which is a solution concept for a class of n-person games with fuzzy coalitions whose elements are defined by the specific structure of their characteristic functions. The Shapley mapping associates to each fuzzy coalition in the game an allocation of the coalitional worth satisfying the efficiency, the symmetry, and the null-player conditions. It determines a cumulative value that is the sum of all coalitional allocations for whose computation we provide an explicit formula.
Czech name
Shapleyho hodnota a kumulativní hodnota pro hry s fuzzy koalicemi
Czech description
V práci je dokázana existence řešení a jeho jednoznačnost v podobě Shapleyho hodnoty pro jistou třídu her s fuzzy koalicemi.

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/1M0572" target="_blank" >1M0572: Data, algorithms, decision making</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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