Does good memory help you win games?
James Burridge, Yu Gao, Yong Mao

TL;DR
This paper investigates how varying memory lengths among agents influence competition in a resource-based game, revealing a critical memory threshold and a dynamical equilibrium through simulation and analytical methods.
Contribution
It introduces a simple game model linking memory length to resource competition, with analytical insights connecting memory to temperature in urn models.
Findings
Existence of a critical memory length causing instability.
Different memory lengths can coexist in equilibrium.
Analytical connection between memory and temperature in urn models.
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 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 analysis is easily generalisable to many other game models with implications that we briefly discuss.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsEvolutionary Game Theory and Cooperation · Evolution and Genetic Dynamics · Mathematical and Theoretical Epidemiology and Ecology Models
