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Part of the cooperation of dynamic games
Author: WangGuiXi
Tutor: GaoHongWei
School: Qingdao University
Course: Applied Mathematics
Keywords: the extended game the game on graph networks formation game partial cooperation the poth dominance core
CLC: O225
Type: Master's thesis
Year: 2009
Downloads: 17
Quote: 0
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Abstract
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In this paper,we mian research the partial cooperation game of the extended game and the graph-game. The partial cooperation mode is drived by defining the cooperative function.For the extended game and the graph-game,the value of games,the algorithm for constructing the optimal path and some illustrations of the partial cooperative game are given.The mian creative result is the valid method of finding the optimal coalition partition(the optimal approach to cooperation)is given,by setting the cooperative function in the club networks formation game,and applying the latest network formation game.In the frist chapter,we mian research the partial cooperation game in extensive form.During the process of the game,players take partial cooperative behavior instead of the complete cooperative one. The main character of partial cooperative game is that each player’s behavior is a combination of cooperative one and individual one.Three modes of defining the partial cooperation are shown.Also, the value of partial cooperative games in extensive form,the algorithm for constructing the optimal path,and some illustrations are given.In the second chapter,by defining the cooperative function on each state node of the directed graph and applying the concept of strategy in graph-game constructed by C.Berge,the partial cooperative game on mesh-like directed graph has been researched.In this paper,players are permitted to leave the coalition after joining it.Also,on directed graph,the value of partial cooperative games,the algorithm for constructing the optimal path and some illustrations are given.In the third chaper,we mian research the incompletion cooperation,applying the latest network formation game,with the help of the special type of the network formation game-the club networks formation game.The material mode is that all potential kinds of the coalition partitions are gotten,by defining the cooperative function on the club networks.The corresponding values of the dynamic games with fixed coalition partition are considered as the payment of the club network.The basins of attraction and the poth dominance core are fond,by studying the dominance relations of the club supernetworks.Finally,the optimal coalition partition is gotten.
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CLC: > Mathematical sciences and chemical > Mathematics > Operations Research > Game theory ( game theory )
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