Forgetfulness can help you win games
We present a simple game model where agents with different memory lengths compete for finite resources. We show by simulation and analytically that an instability exists at a critical memory length, and as a result, different memory lengths can compete and coexist in a dynamical equilibrium. Our ana...
| Main Authors: | , , |
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| Format: | Article |
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American Physical Society
2015
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| Online Access: | https://eprints.nottingham.ac.uk/34751/ |
| _version_ | 1848794927052357632 |
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| author | Burridge, James Gao, Yu Mao, Yong |
| author_facet | Burridge, James Gao, Yu Mao, Yong |
| author_sort | Burridge, James |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We present a simple game model where agents with different memory lengths compete for finite resources. We show by simulation and analytically that an instability exists at a critical memory length, and as a result, different memory lengths can compete and coexist in a dynamical equilibrium. Our analytical formulation makes a connection to statistical urn models, and we show that temperature is mirrored by the agent’s memory. Our simple model of memory may be incorporated into other game models with implications that we briefly discuss. |
| first_indexed | 2025-11-14T19:23:58Z |
| format | Article |
| id | nottingham-34751 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:23:58Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-347512020-05-04T17:17:16Z https://eprints.nottingham.ac.uk/34751/ Forgetfulness can help you win games Burridge, James Gao, Yu Mao, Yong We present a simple game model where agents with different memory lengths compete for finite resources. We show by simulation and analytically that an instability exists at a critical memory length, and as a result, different memory lengths can compete and coexist in a dynamical equilibrium. Our analytical formulation makes a connection to statistical urn models, and we show that temperature is mirrored by the agent’s memory. Our simple model of memory may be incorporated into other game models with implications that we briefly discuss. American Physical Society 2015-09-14 Article PeerReviewed Burridge, James, Gao, Yu and Mao, Yong (2015) Forgetfulness can help you win games. Physical Review E, 92 . 032119/1-032119/7. ISSN 1550-2376 http://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.032119 doi:10.1103/PhysRevE.92.032119 doi:10.1103/PhysRevE.92.032119 |
| spellingShingle | Burridge, James Gao, Yu Mao, Yong Forgetfulness can help you win games |
| title | Forgetfulness can help you win games |
| title_full | Forgetfulness can help you win games |
| title_fullStr | Forgetfulness can help you win games |
| title_full_unstemmed | Forgetfulness can help you win games |
| title_short | Forgetfulness can help you win games |
| title_sort | forgetfulness can help you win games |
| url | https://eprints.nottingham.ac.uk/34751/ https://eprints.nottingham.ac.uk/34751/ https://eprints.nottingham.ac.uk/34751/ |