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.Comment: Presented at the 3rd Int. Conference NEXT-SigmaPhi; Figures not
include
