On strong representations of games by social choice functions |
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| Affiliation: | 1. Liaoning Shihua University, Fushun, 113001, China;2. Administration Center of the Yellow River Delta Sustainable Development Institute of Shandong Province, Dongying, 257001, China;1. College of Environmental Science and Engineering, Fujian Normal University, Fuzhou 350007, China;2. Fujian Key Laboratory of Pollution Control & Resource Reuse, Fuzhou 350007, China;3. Engineering Research Center of Polymer Green Recycling of Ministry of Education, Fuzhou 350007, China;4. Guangzhou Institute of Chemistry, Chinese Academy of Sciences, Guangzhou 510650, China;1. Laboratory of Advanced Lipid Analysis, Faculty of Health Sciences, Hokkaido University, Kita 12, Nishi 5, Sapporo 060-0812, Japan;2. Food Control Department, Faculty of Veterinary Medicine, Zagazig University, Zagazig 44519, Egypt;3. Department of Nutrition, Sapporo University of Health Sciences, Nakanuma Nishi 4-2-1-15, Higashi Ku, Sapporo 007-0894, Japan;4. Department of Veterinary Public Health and Animal Husbandry, College of Veterinary Medicine, King Faisal University, Saudi Arabia;5. Department of Food Hygiene and Control, Faculty of Veterinary Medicine, Suez Canal University, Ismailia 41522, Egypt;6. Center for Emerging Infectious Diseases, School of Medicine, Gifu University, Gifu 501-1193, Japan;1. Jinhe Center for Economic Research, Xi''an Jiaotong University, China;2. Department of Economics, University of California, Davis, United States of America |
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| Abstract: | Games in characteristic function form are used to model an allocation of decision power among individuals involved in a voting situation. The problem of strong representation is to find a strategically acceptable social choice function that entails the allocation of power prescribed by a given game. Within the class of non-weak characteristic function games, we fully characterize the games that admit a strong representation. We apply this result to Peleg's problem of strong representation of simple games. Our results indicate that a strong representation requires significantly more than has been recognized in the literature. |
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