Possibilistic Beliefs and Higher-Level Rationality
We consider rationality and rationalizability for normal-form games of incomplete information in which the players have possibilistic beliefs about their opponents. In this setting, we prove that the strategies compatible with the players being level-k rational coincide with the strategies surviving...
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2014
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| Online Access: | http://hdl.handle.net/1721.1/87710 |
| _version_ | 1811097437569286144 |
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| author | Chen, Jing Micali, Silvio Pass, Rafael |
| author2 | Silvio Micali |
| author_facet | Silvio Micali Chen, Jing Micali, Silvio Pass, Rafael |
| author_sort | Chen, Jing |
| collection | MIT |
| description | We consider rationality and rationalizability for normal-form games of incomplete information in which the players have possibilistic beliefs about their opponents. In this setting, we prove that the strategies compatible with the players being level-k rational coincide with the strategies surviving a natural k-step iterated elimination procedure. We view the latter strategies as the (level-k) rationalizable ones in our possibilistic setting. |
| first_indexed | 2024-09-23T16:59:31Z |
| id | mit-1721.1/87710 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T16:59:31Z |
| publishDate | 2014 |
| record_format | dspace |
| spelling | mit-1721.1/877102019-04-11T13:36:29Z Possibilistic Beliefs and Higher-Level Rationality Chen, Jing Micali, Silvio Pass, Rafael Silvio Micali Theory of Computation We consider rationality and rationalizability for normal-form games of incomplete information in which the players have possibilistic beliefs about their opponents. In this setting, we prove that the strategies compatible with the players being level-k rational coincide with the strategies surviving a natural k-step iterated elimination procedure. We view the latter strategies as the (level-k) rationalizable ones in our possibilistic setting. 2014-06-09T20:15:07Z 2014-06-09T20:15:07Z 2014-06-09 2014-06-09T20:15:07Z http://hdl.handle.net/1721.1/87710 MIT-CSAIL-TR-2014-012 10 p. application/pdf |
| spellingShingle | Chen, Jing Micali, Silvio Pass, Rafael Possibilistic Beliefs and Higher-Level Rationality |
| title | Possibilistic Beliefs and Higher-Level Rationality |
| title_full | Possibilistic Beliefs and Higher-Level Rationality |
| title_fullStr | Possibilistic Beliefs and Higher-Level Rationality |
| title_full_unstemmed | Possibilistic Beliefs and Higher-Level Rationality |
| title_short | Possibilistic Beliefs and Higher-Level Rationality |
| title_sort | possibilistic beliefs and higher level rationality |
| url | http://hdl.handle.net/1721.1/87710 |
| work_keys_str_mv | AT chenjing possibilisticbeliefsandhigherlevelrationality AT micalisilvio possibilisticbeliefsandhigherlevelrationality AT passrafael possibilisticbeliefsandhigherlevelrationality |