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A parrondo paradox in reliability theory
TLDR
In this paper, the authors present a suitable version of Parrondo's paradox in reliability theory involving two systems in series, the units of the first system being less reliable than those of the second.Abstract:
Dipartimento di Matematica e InformaticaUniversit`a di Salerno84084 Fisciano (SA), ItalyE-mail: adicrescenzo@unisaitAbstractParrondo’s paradox arises in sequences of games in which a winning expectation may beobtained by playing the games in a random order, even though each game in the sequencemay be lost when played individually We present a suitable version of Parrondo’s paradoxin reliability theory involving two systems in series, the units of the first system being lessreliable than those of the second If the first system is modified so that the distributions ofits new units are mixtures of the previous distributions with equal probabilities, then undersuitable conditions the new system is shown to be more reliable than the second in the “usualstochastic order” senseread more
Citations
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Comparisons of series and parallel systems with components sharing the same copula
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TL;DR: In this article, the authors study stochastic comparisons of series and parallel systems with vectors of component lifetimes sharing the same copula and show that, under some conditions on the common copula, the series system with heterogeneous components is worse than the series systems with homogeneous components having a common reliability function, which is equal to the average of the reliability functions of the heterogeneous component.
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Asymmetry and disorder: A decade of Parrondo's Paradox
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Orderings of coherent systems with randomized dependent components
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Parrondo’s paradox from classical to quantum: A review
Joel Weijia Lai,Kang Hao Cheong +1 more
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Passive network evolution promotes group welfare in complex networks
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TL;DR: A co-evolution of game dynamics and network structure is adopted to study adaptability and survivability in multi-agent dynamics, revealing that the rewiring process drives a topology shift from initial regular lattices towards scale-free characteristics, and enables exploitative behavior that grants enhanced access to the favourable branch of Game B.
References
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Losing strategies can win by Parrondo's paradox
Gregory P. Harmer,Derek Abbott +1 more
TL;DR: This work models the behaviour of two losing gambling games such that, when they are played one after the other, they becoming winning, a striking new result in game theory called Parrondo's paradox.
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New paradoxical games based on brownian ratchets
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Parrondo's paradox
Gregory P. Harmer,Derek Abbott +1 more
TL;DR: In this paper, the authors introduce Parrondo's paradox that involves games of chance and develop a heuristic explanation of the phenomenon in terms of a Brownian ratchet model.