Multi player Parrondo games with rigid coupling

Sandro Breuer and Andreas Mielke

Physica A: Statistical Mechanics and its Applications, 2023, vol. 622, issue C

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.

Keywords: Noise induced transport; Parrondo’s paradox; Markov chains; Multiplayer Parrondo games; Collective coupling effect (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:622:y:2023:i:c:s0378437123004454

DOI: 10.1016/j.physa.2023.128890

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