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Cooperative Parrondo's games on a two-dimensional lattice

Author

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  • Mihailović, Zoran
  • Rajković, Milan

Abstract

Cooperative Parrondo's 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.

Suggested Citation

  • Mihailović, Zoran & Rajković, Milan, 2006. "Cooperative Parrondo's games on a two-dimensional lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(1), pages 244-251.
    • Handle: RePEc:eee:phsmap:v:365:y:2006:i:1:p:244-251
    DOI: 10.1016/j.physa.2006.01.032
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    Citations

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    Cited by:

    1. Ye, Ye & Zhang, Xin-shi & Liu, Lin & Xie, Neng-Gang, 2021. "Effects of group interactions on the network Parrondo’s games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    2. Xie, Neng-gang & Guo, Jia-yi & Ye, Ye & Wang, Chao & Wang, Lu, 2012. "The paradox of group behaviors based on Parrondo’s games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 6146-6155.
    3. Li, Yin-feng & Ye, Shun-qiang & Zheng, Kai-xuan & Xie, Neng-gang & Ye, Ye & Wang, Lu, 2014. "A new theoretical analysis approach for a multi-agent spatial Parrondo’s game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 369-379.
    4. Xie, Neng-gang & Chen, Yun & Ye, Ye & Xu, Gang & Wang, Lin-gang & Wang, Chao, 2011. "Theoretical analysis and numerical simulation of Parrondo’s paradox game in space," Chaos, Solitons & Fractals, Elsevier, vol. 44(6), pages 401-414.
    5. Ejlali, Nasim & Pezeshk, Hamid & Chaubey, Yogendra P. & Sadeghi, Mehdi & Ebrahimi, Ali & Nowzari-Dalini, Abbas, 2020. "Parrondo’s paradox for games with three players and its potential application in combination therapy for type II diabetes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    6. Fotoohinasab, Atiyeh & Fatemizadeh, Emad & Pezeshk, Hamid & Sadeghi, Mehdi, 2018. "Denoising of genetic switches based on Parrondo’s paradox," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 410-420.
    7. Ye, Ye & Xie, Neng-gang & Wang, Lu & Cen, Yu-wan, 2013. "The multi-agent Parrondo’s model based on the network evolution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5414-5421.

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