title: Forgetfulness can help you win games.
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.
authors.affiliation: Department of Mathematics, University of Portsmouth, Portsmouth, PO1 2UP, United Kingdom.
authors.forename: James
authors.initials: J
authors.lastname: Burridge
authors.affiliation: School of Physics and Astronomy, University of Nottingham, Nottingham, NG7 2RD, United Kingdom.
authors.forename: Yu
authors.initials: Y
authors.lastname: Gao
authors.affiliation: School of Physics and Astronomy, University of Nottingham, Nottingham, NG7 2RD, United Kingdom.
authors.forename: Yong
authors.initials: Y
authors.lastname: Mao