Forgetfulness can help you win games.

@article{Burridge2015ForgetfulnessCH,
  title={Forgetfulness can help you win games.},
  author={James Burridge and Yu Gao and Yong Mao},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2015},
  volume={92 3},
  pages={032119}
}
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… CONTINUE READING