Individual Preferences and Social Choice Functions Rationalized by Game Tree
| Autor: | LIN, ZHENG-YUAN, 林政源 |
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| Rok vydání: | 2019 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 107 Taking another angle to explore society when there are only two people and their preferences completely opposite, what form of social choice function can it be rationalized by the game tree? Firstly, it can be proved that any social choice function that conforms to linear ordering can be rationalized by two-person who with opposite preferences by game tree. It is worth noting that this is true for any number of alternatives. Second, to further sort out the example of "three alternatives in society", at this point, the social choice function has 24 possibilities, including linear ordering and looping. We proved all forms of social choice function can be the opposite preference of the two but not limited to the same two people rationalized by the game tree. Furthermore, even if the opposite preference of the two but limited to the same two people, as long as you face three alternatives at the same time, the social choice function is an option to choose a two-person ordering compromise, even a looping type of social choice function also can be rationalized by the game tree composed of the opposite preference of the two but limited to the same two people. So a social choice function that can be rationalized by the two people with the opposite preference use game tree not limited to the form of linear ordering, whether the conclusion of "two people, three alternatives" can be extended to any number of alternatives still requires follow-up research. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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