Communication networks and their role in cooperative games |
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| Institution: | 1. Institute of Mathematics, Linköping University, SE-58183 Linköping, Sweden;2. Institute of Mathematics, University of Rostock, D-18051 Rostock, Germany;1. Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin 541002, PR China;2. School of Mathematical Sciences, Fudan University, Shanghai 200433, PR China;3. School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009, PR China;4. School of Mathematical Sciences, Soochow University, Suzhou 215009, PR China;1. Department of Mathematics, Sun Yat-sen University, Guangzhou, 510275, China;2. Faculty of Information Technology, Macau University of Science and Technology, Macau, China |
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| Abstract: | We consider cooperative games subordinated to communication networks, which indicate those players able to communicate directly as well as the strengths of their relationships. We develop an index of a player's ability to communicate with others and we also create a new game whose solution reflects this ability in conjunction with the economic capabilities described by the original game. |
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