A counter-example to Karlin's strong conjecture for fictitious play
Thesis: M. Eng., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 2015.
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| Other Authors: | |
| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2016
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| Online Access: | http://hdl.handle.net/1721.1/100688 |
| _version_ | 1811079032871059456 |
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| author | Pan, Qinxuan |
| author2 | Konstantinos Daskalakis. |
| author_facet | Konstantinos Daskalakis. Pan, Qinxuan |
| author_sort | Pan, Qinxuan |
| collection | MIT |
| description | Thesis: M. Eng., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 2015. |
| first_indexed | 2024-09-23T11:09:04Z |
| format | Thesis |
| id | mit-1721.1/100688 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T11:09:04Z |
| publishDate | 2016 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/1006882022-01-13T07:54:01Z A counter-example to Karlin's strong conjecture for fictitious play Pan, Qinxuan Konstantinos Daskalakis. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Electrical Engineering and Computer Science. Thesis: M. Eng., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 2015. Cataloged from student-submitted PDF version of thesis. Includes bibliographical references (pages 23-26). Fictitious play is a natural dynamic for equilibrium play in zero-sum games, proposed by Brown , and shown to converge by Robinson . Samuel Karlin conjectured in 1959 that fictitious play converges at rate O(t- 1/ 2) with respect to the number of steps t. We disprove this conjecture by showing that, when the payoff matrix of the row player is the n x n identity matrix, fictitious play may converge (for some tie-breaking) at rate as slow as [Omega](t- 1/n). by Qinxuan Pan. M. Eng. 2016-01-04T20:53:37Z 2016-01-04T20:53:37Z 2015 2015 Thesis http://hdl.handle.net/1721.1/100688 933249721 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 29 pages application/pdf Massachusetts Institute of Technology |
| spellingShingle | Electrical Engineering and Computer Science. Pan, Qinxuan A counter-example to Karlin's strong conjecture for fictitious play |
| title | A counter-example to Karlin's strong conjecture for fictitious play |
| title_full | A counter-example to Karlin's strong conjecture for fictitious play |
| title_fullStr | A counter-example to Karlin's strong conjecture for fictitious play |
| title_full_unstemmed | A counter-example to Karlin's strong conjecture for fictitious play |
| title_short | A counter-example to Karlin's strong conjecture for fictitious play |
| title_sort | counter example to karlin s strong conjecture for fictitious play |
| topic | Electrical Engineering and Computer Science. |
| url | http://hdl.handle.net/1721.1/100688 |
| work_keys_str_mv | AT panqinxuan acounterexampletokarlinsstrongconjectureforfictitiousplay AT panqinxuan counterexampletokarlinsstrongconjectureforfictitiousplay |