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Multi player Parrondo games with rigid coupling

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  • Breuer, Sandro
  • Mielke, Andreas

Abstract

In the original Parrondo game, a single player combines two losing strategies to a winning strategy. In this paper we investigate the question what happens, if two or more players play Parrondo games in a coordinated way. We introduce a strong coupling between the players such that the gain or loss of all players in one round is the same. We investigate two possible realizations of such a coupling. For both we show that the coupling increases the gain per player. The dependency of the gain on the various parameters of the games is determined. The coupling can not only lead to a larger gain, but it can also dominate the driving mechanism of the uncoupled games. Which driving mechanism dominates, depends on the type of coupling. Both couplings are set side by side and the main similarities and differences are emphasized.

Suggested Citation

  • Breuer, Sandro & Mielke, Andreas, 2023. "Multi player Parrondo games with rigid coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).
    • Handle: RePEc:eee:phsmap:v:622:y:2023:i:c:s0378437123004454
    DOI: 10.1016/j.physa.2023.128890
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    References listed on IDEAS

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    1. Gregory P. Harmer & Derek Abbott, 1999. "Losing strategies can win by Parrondo's paradox," Nature, Nature, vol. 402(6764), pages 864-864, December.
    2. Flitney, A.P. & Ng, J. & Abbott, D., 2002. "Quantum Parrondo's games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 35-42.
    3. Toral, R. & Amengual, Pau & Mangioni, Sergio, 2003. "Parrondo's games as a discrete ratchet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(1), pages 105-110.
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