Cooperative Parrondo's Games on a Two-dimensional Lattice
Statistical Mechanics
2009-11-11 v1
Abstract
Cooperative Parrondo's games on a regular two dimensional lattice are analyzed based on the computer simulations and on the discrete-time Markov chain model with exact transition probabilities. The paradox appears in the vicinity of the probabilites characterisitic of the "voter model", suggesting practical applications. As in the one-dimensional case, winning and the occurrence of the paradox depends on the number of players.
Keywords
Cite
@article{arxiv.cond-mat/0509783,
title = {Cooperative Parrondo's Games on a Two-dimensional Lattice},
author = {Zoran Mihailovic and Milan Rajkovic},
journal= {arXiv preprint arXiv:cond-mat/0509783},
year = {2009}
}
Comments
Presented at the 3rd Int. Conference NEXT-SigmaPhi; Figures not included