Cooperative Parrondo's Games on a Two-dimensional Lattice
arXiv:cond-mat/0509783 · doi:10.1016/j.physa.2006.01.032
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.
Presented at the 3rd Int. Conference NEXT-SigmaPhi; Figures not included
References in corpus (1)
Cited by in corpus (9)
- Unanimity Rule on networks
- Extended Parrondo's Game and Brownian Ratchets: Strong and Weak Parrondo Effect
- Parrondo games with spatial dependence and a related spin system, II
- An optical model for an analogy of Parrondo game and designing Brownian ratchets
- Does Parrondo Paradox occur in Scale Free Networks? -A simple Consideration-
- Second Parrondo's Paradox in Scale Free Networks
- Parrondo games with spatial dependence, III
- A new generalization of Parrondo's games to three players and its application in genetic switches
- Parrondo Paradox in Scale Free Networks