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Theory Study and Application of Several Solutions of Convex Multi-Choice Games

Author: MaLiMin
Tutor: GaoZuoFeng
School: Yanshan University
Course: Operational Research and Cybernetics
Keywords: Cooperative games More choices countermeasures Priority alliance Repeat multi-choice cooperative games Support function Alliance core Union Weber set Participation Shapley value
CLC: O225
Type: Master's thesis
Year: 2010
Downloads: 14
Quote: 0
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Abstract


Game theory , cooperative game has been one of the hot people are . Received the greatest attention in cooperative game when all the players together for how to allocate the total alliance win . The form of a wide variety of solutions have been proposed for this problem , including the core , the Weber set (Weber), Shapley value , each meet a certain rational behavior and rational principles . Multi to select countermeasures as a new branch of game theory , since its inception, has attracted the interest of many scholars , also achieved some results . The main purpose of the thesis is more mature classical cooperative game theory , after some amendments , improve and expand to multi-choice cooperative games , multi- convex to select countermeasures as well as repeat multi- select countermeasures for these countermeasures model Bureau the alliance Select provides a theoretical basis . This has great practical value in real life , avoid the players due to the alliance selection error caused unnecessary economic losses . Firstly, given the support function and multi- select the concept and theory of cooperative games , and then take advantage of the introduction of Hart and Mas-Colell support function to study the multi- select countermeasures multiple choice responses PZ Shapley value with a support function to confirm PZ Shapley value , and gives some of the characteristics . Then through the introduction of a priority alliance with priority allied multi - select countermeasures , the countermeasures is given the Alliance core and the Union Weber set , and discussion of some nature . Finally, repeat the basic concepts of cooperative games , multi- select cooperative game with weighting function extended to multiple multi-choice cooperative games , and given some extended features such repeated multi- select the core of the cooperative game model .

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CLC: > Mathematical sciences and chemical > Mathematics > Operations Research > Game theory ( game theory )
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