TY  - JOUR
AU  - Mihailovic, Z
AU  - Rajković, Milan
PY  - 2006
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6574
AB  - Cooperative Parrondos games on a regular two-dimensional lattice are analyzed based on computer simulations and on the discrete-time Markov chain model with exact transition probabilities. The paradox appears in the vicinity of the probabilites characteristic of the voter model, suggesting practical applications. As in the one-dimensional case, winning and the occurrence of the paradox depend on the number of players. (c) 2006 Elsevier B.V. All rights reserved.
T2  - Physica A: Statistical Mechanics and Its Applications
T1  - Cooperative Parrondos games on a two-dimensional lattice
VL  - 365
IS  - 1
SP  - 244
EP  - 251
DO  - 10.1016/j.physa.2006.01.032
ER  - 

@article{
author = "Mihailovic, Z and Rajković, Milan",
year = "2006",
abstract = "Cooperative Parrondos games on a regular two-dimensional lattice are analyzed based on computer simulations and on the discrete-time Markov chain model with exact transition probabilities. The paradox appears in the vicinity of the probabilites characteristic of the voter model, suggesting practical applications. As in the one-dimensional case, winning and the occurrence of the paradox depend on the number of players. (c) 2006 Elsevier B.V. All rights reserved.",
journal = "Physica A: Statistical Mechanics and Its Applications",
title = "Cooperative Parrondos games on a two-dimensional lattice",
volume = "365",
number = "1",
pages = "244-251",
doi = "10.1016/j.physa.2006.01.032"
}

Mihailovic, Z.,& Rajković, M.. (2006). Cooperative Parrondos games on a two-dimensional lattice. in Physica A: Statistical Mechanics and Its Applications, 365(1), 244-251.
https://doi.org/10.1016/j.physa.2006.01.032

Mihailovic Z, Rajković M. Cooperative Parrondos games on a two-dimensional lattice. in Physica A: Statistical Mechanics and Its Applications. 2006;365(1):244-251.
doi:10.1016/j.physa.2006.01.032 .

Mihailovic, Z, Rajković, Milan, "Cooperative Parrondos games on a two-dimensional lattice" in Physica A: Statistical Mechanics and Its Applications, 365, no. 1 (2006):244-251,
https://doi.org/10.1016/j.physa.2006.01.032 . .

TY  - JOUR
AU  - Rajković, Milan
AU  - Mihailovic, Z
PY  - 2003
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6370
AB  - A Lempel-Ziv complexity measure is introduced into the theory of a minority game in order to capture some features that volatility, one of the central quantities in this model of interacting agents, is not able to. Extracted solely from the binary string of outcomes of the game complexity offers new and valuable information on collective behavior of players. Also, we show that an expression for volatility may be included in the analytical expression for complexity. (C) 2003 Elsevier Science B.V. All rights reserved.
T2  - Physica A: Statistical Mechanics and Its Applications
T1  - Quantifying complexity in the minority game
VL  - 325
IS  - 1-2
SP  - 40
EP  - 47
DO  - 10.1016/S0378-4371(03)00181-X
ER  - 

@article{
author = "Rajković, Milan and Mihailovic, Z",
year = "2003",
abstract = "A Lempel-Ziv complexity measure is introduced into the theory of a minority game in order to capture some features that volatility, one of the central quantities in this model of interacting agents, is not able to. Extracted solely from the binary string of outcomes of the game complexity offers new and valuable information on collective behavior of players. Also, we show that an expression for volatility may be included in the analytical expression for complexity. (C) 2003 Elsevier Science B.V. All rights reserved.",
journal = "Physica A: Statistical Mechanics and Its Applications",
title = "Quantifying complexity in the minority game",
volume = "325",
number = "1-2",
pages = "40-47",
doi = "10.1016/S0378-4371(03)00181-X"
}

Rajković, M.,& Mihailovic, Z.. (2003). Quantifying complexity in the minority game. in Physica A: Statistical Mechanics and Its Applications, 325(1-2), 40-47.
https://doi.org/10.1016/S0378-4371(03)00181-X

Rajković M, Mihailovic Z. Quantifying complexity in the minority game. in Physica A: Statistical Mechanics and Its Applications. 2003;325(1-2):40-47.
doi:10.1016/S0378-4371(03)00181-X .

Rajković, Milan, Mihailovic, Z, "Quantifying complexity in the minority game" in Physica A: Statistical Mechanics and Its Applications, 325, no. 1-2 (2003):40-47,
https://doi.org/10.1016/S0378-4371(03)00181-X . .

TY  - JOUR
AU  - Mihailovic, Z
AU  - Rajkovic, M
PY  - 2003
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2755
AB  - Inspired by asynchronous cooperative Parrondos games we introduce two new types of games in which all players simultaneously play game A or game B or a combination of these two games. These two types of games differ in the way a combination of games A and B is played. In the first type of synchronous games, all players simultaneously play the same game (either A or B), while in the second type players simultaneously play the game of their choice, i.e. A or B. We show that for these games, as in the case of asynchronous games, occurrence of the paradox depends on the number of players. An analytical result and an algorithm are derived for the probability distribution of these games.
T2  - Fluctuation and Noise Letters
T1  - Synchronous cooperative Parrondos games
VL  - 3
IS  - 4
SP  - L399
EP  - L406
DO  - 10.1142/S021947750300149X
ER  - 

@article{
author = "Mihailovic, Z and Rajkovic, M",
year = "2003",
abstract = "Inspired by asynchronous cooperative Parrondos games we introduce two new types of games in which all players simultaneously play game A or game B or a combination of these two games. These two types of games differ in the way a combination of games A and B is played. In the first type of synchronous games, all players simultaneously play the same game (either A or B), while in the second type players simultaneously play the game of their choice, i.e. A or B. We show that for these games, as in the case of asynchronous games, occurrence of the paradox depends on the number of players. An analytical result and an algorithm are derived for the probability distribution of these games.",
journal = "Fluctuation and Noise Letters",
title = "Synchronous cooperative Parrondos games",
volume = "3",
number = "4",
pages = "L399-L406",
doi = "10.1142/S021947750300149X"
}

Mihailovic, Z.,& Rajkovic, M.. (2003). Synchronous cooperative Parrondos games. in Fluctuation and Noise Letters, 3(4), L399-L406.
https://doi.org/10.1142/S021947750300149X

Mihailovic Z, Rajkovic M. Synchronous cooperative Parrondos games. in Fluctuation and Noise Letters. 2003;3(4):L399-L406.
doi:10.1142/S021947750300149X .

Mihailovic, Z, Rajkovic, M, "Synchronous cooperative Parrondos games" in Fluctuation and Noise Letters, 3, no. 4 (2003):L399-L406,
https://doi.org/10.1142/S021947750300149X . .

TY  - 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 . .