Forgetfulness can help you win games

Daniel James Burridge, Yu Gao, Yong Mao

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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 co-exist 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.
Original languageEnglish
Article number032119
JournalPhysical Review E
Issue number3
Publication statusPublished - 14 Sept 2015


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