On a games theory of random coalitions and on a coalition imputation
AbstractThe main theorem of the games theory of random coalitions is reformulated in the random set language which generalizes the classical maximin theorem but unlike it defines a coalition imputation also. The theorem about maximin random coalitions has been introduced as a random set form of classical maximin theorem. This interpretation of the maximin theorem indicate the characteristic function of the game and its close connection with optimal random coalitions. So we can write the apparent natural formula of coalition imputation generalizing the strained formulas of imputation have been in the game theory till now. Those formulas of imputation we call the strained formulas because it is unknown from where the characteristic function of the game appears and because it is necessary to make additional suppositions about a type of distributions of random coalitions. The reformulated maximin theorem has both as its corollaries. The main outputs are two results of the games theory were united and the type of characteristic function of game defined by the game matrix was discovered.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 16962.
Date of creation: 2002
Date of revision: 2002
games theory; random coalition; coalition imputation;
Other versions of this item:
- Oleg, Vorobyev & Ellen, Goldenok & Helena, Tyaglova, 2002. "On a games theory of random coalitions and on a coalition imputation," MPRA Paper 16983, University Library of Munich, Germany.
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
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