Forgetfulness can help you win games

Burridge, James; Gao, Yu; Mao, Yong

Abstract

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.

Citation

Burridge, J., Gao, Y., & Mao, Y. (2015). Forgetfulness can help you win games. Physical Review E, 92, Article 032119. https://doi.org/10.1103/PhysRevE.92.032119

• Journal Article Type: Article
• Acceptance Date: Aug 26, 2015
• Publication Date: Sep 14, 2015
• Deposit Date: Jul 11, 2016
• Publicly Available Date: Jul 11, 2016
• Journal: Physical Review E
• Print ISSN: 2470-0045
• Electronic ISSN: 1550-2376
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 92
• Article Number: 032119
• DOI: https://doi.org/10.1103/PhysRevE.92.032119
• Public URL: https://nottingham-repository.worktribe.com/output/761362
• Publisher URL: http://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.032119