One dimensional asynchronous cooperative Parrondos games
Abstract
A discrete-time Markov chain solution with exact rules for general computation of transition probabilities of the one-dimensional cooperative Parrondos games is presented. We show that winning and the occurrence of the paradox depends on the number of players. Analytical results are compared to the results of the computer simulation and to the results based on the mean-field approach.
Keywords:
Parrondos games / Brownian motors / flashing ratchets / game theorySource:
Fluctuation and Noise Letters, 2003, 3, 4, L389-L398Collections
Institution/Community
VinčaTY - JOUR AU - Mihailovic, Z AU - Rajkovic, M PY - 2003 UR - https://vinar.vin.bg.ac.rs/handle/123456789/2754 AB - A discrete-time Markov chain solution with exact rules for general computation of transition probabilities of the one-dimensional cooperative Parrondos games is presented. We show that winning and the occurrence of the paradox depends on the number of players. Analytical results are compared to the results of the computer simulation and to the results based on the mean-field approach. T2 - Fluctuation and Noise Letters T1 - One dimensional asynchronous cooperative Parrondos games VL - 3 IS - 4 SP - L389 EP - L398 DO - 10.1142/S0219477503001464 ER -
@article{ author = "Mihailovic, Z and Rajkovic, M", year = "2003", abstract = "A discrete-time Markov chain solution with exact rules for general computation of transition probabilities of the one-dimensional cooperative Parrondos games is presented. We show that winning and the occurrence of the paradox depends on the number of players. Analytical results are compared to the results of the computer simulation and to the results based on the mean-field approach.", journal = "Fluctuation and Noise Letters", title = "One dimensional asynchronous cooperative Parrondos games", volume = "3", number = "4", pages = "L389-L398", doi = "10.1142/S0219477503001464" }
Mihailovic, Z.,& Rajkovic, M.. (2003). One dimensional asynchronous cooperative Parrondos games. in Fluctuation and Noise Letters, 3(4), L389-L398. https://doi.org/10.1142/S0219477503001464
Mihailovic Z, Rajkovic M. One dimensional asynchronous cooperative Parrondos games. in Fluctuation and Noise Letters. 2003;3(4):L389-L398. doi:10.1142/S0219477503001464 .
Mihailovic, Z, Rajkovic, M, "One dimensional asynchronous cooperative Parrondos games" in Fluctuation and Noise Letters, 3, no. 4 (2003):L389-L398, https://doi.org/10.1142/S0219477503001464 . .