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Related papers: Parrondo games as disordered systems

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Parrondo's paradox is a well-known counterintuitive phenomenon, where the combination of unfavorable situations can establish favorable ones. In this paper, we study one-dimensional discrete-time quantum walks, manipulating two different…

Quantum Physics · Physics 2022-08-02 Munsif Jan , Niaz Ali Khan , Gao Xianlong

Parrondo's paradox is about a paradoxical game and gambling where two probabilistic losing games can be combined to form a winning game. While the counter intuitive game is interesting in itself, it can be thought of a discrete version of…

Physics and Society · Physics 2016-02-16 Abhijit Kar Gupta , Sourabh Banerjee

The Parrondo's paradox is a counterintuitive phenomenon where individually-losing strategies can be combined in producing a winning expectation. In this paper, the issues surrounding the Parrondo's paradox are investigated. The focus is…

Computer Science and Game Theory · Computer Science 2014-03-24 Jian-Jun Shu , Qi-Wen Wang

The original Parrondo game, denoted as AB3, contains two independent games: A and B. The winning or losing of A and B game is defined by the change of one unit of capital. Game A is a losing game if played continuously, with winning…

Physics and Society · Physics 2016-06-22 Ka Wai Cheung , Ho Fai Ma , Degang Wu , Ga Ching Lui , Kwok Yip Szeto

Parrondo's paradox arises in sequences of games in which a winning expectation may be obtained by playing the games in a random order, even though each game in the sequence may be lost when played individually. We present a suitable version…

Probability · Mathematics 2007-06-19 Antonio Di Crescenzo

That there exist two losing games that can be combined, either by random mixture or by nonrandom alternation, to form a winning game is known as Parrondo's paradox. We establish a strong law of large numbers and a central limit theorem for…

Probability · Mathematics 2009-09-04 S. N. Ethier , Jiyeon Lee

The Parrondo game, devised by Parrondo, means that winning strategy is constructed a combination of losing strategy. This situation is called the Parrondo paradox. The Parrondo game based on quantum walk and the search algorithm via quantum…

Quantum Physics · Physics 2024-06-26 Taisuke Hosaka , Norio Konno

Parrondo's paradox is ubiquitous in games, ratchets and random walks.The apparent paradox, devised by J.~M.~R.~Parrondo, that two losing games $A$ and $B$ can produce an winning outcome has been adapted in many physical and biological…

Quantum Physics · Physics 2018-02-15 Jishnu Rajendran , Colin Benjamin

This paper investigates the different effects of chaotic switching on Parrondo's games, as compared to random and periodic switching. The rate of winning of Parrondo's games with chaotic switching depends on coefficient(s) defining the…

Computer Science and Game Theory · Computer Science 2009-11-10 T. W. Tang , A. Allison , D. Abbott

Parrondo's paradox, a counterintuitive phenomenon where two losing strategies combine to produce a winning outcome, has been a subject of interest across various scientific fields, including quantum mechanics. In this study, we investigate…

Quantum Physics · Physics 2024-12-06 Vikash Mittal , Yi-Ping Huang

The Parrondo effect describes the seemingly paradoxical situation in which two losing games can, when combined, become winning [Phys. Rev. Lett. 85, 24 (2000)]. Here we generalize this analysis to the case where both games are…

Condensed Matter · Physics 2009-11-07 Roland J. Kay , Neil F. Johnson

We propose a quantum game based on coin-based quantum walks. Given a quantum walk and a Hermitian operator on the coin-position composite space, winning this game involves choosing an initial coin state such that the given quantum walk…

Quantum Physics · Physics 2024-01-18 Gururaj Kadiri

Parrondo paradox describes the counterintuitive phenomenon in which alternating two individually losing games yields a winning outcome. Extending this effect to the quantum regime has typically required high dimensional coin spaces,…

Quantum Physics · Physics 2026-04-15 Jen-Yu Chang , Yun-Hsuan Chen , Gooi Zi Liang , Chih-Yu Chen , Tsung-Wei Huang

We construct games of chance from simpler games of chance. We show that it may happen that the simpler games of chance are fair or unfavourable to a player andyet the new combined game is favourable -- this is a counter-intuitive…

Probability · Mathematics 2007-05-23 E. S. Key , M. Klosek , D. Abbott

The recently discovered Parrondo's paradox claims that two losing games can result, under random or periodic alternation of their dynamics, in a winning game: "losing+losing=winning". In this paper we follow Parrondo's philosophy of…

Chaotic Dynamics · Physics 2009-11-10 J. Almeida , D. Peralta-Salas , M. Romera

Parrondo's paradox was introduced by Juan Parrondo in 1996. In game theory, this paradox is described as: A combination of losing strategies becomes a winning strategy. At first glance, this paradox is quite surprising, but we can easily…

Computer Science and Game Theory · Computer Science 2023-04-13 Xavier Molinero , Camille Mègnien

Parrondo's paradox occurs in sequences of games in which a winning expectation may be obtained by playing the games in a random order, even though each game in the sequence may be lost when played individually. Several variations of…

Physics and Society · Physics 2012-04-25 Norihito Toyota

Parrondo's Paradox arises when two losing games are combined to produce a winning one. A history dependent quantum Parrondo game is studied where the rotation operators that represent the toss of a classical biased coin are replaced by…

Quantum Physics · Physics 2009-11-07 Adrian P. Flitney , Joseph Ng , Derek Abbott

We study a modification of the so-called Parrondo's paradox where a large number of individuals choose the game they want to play by voting. We show that it can be better for the players to vote randomly than to vote according to their own…

Physics and Society · Physics 2014-10-03 L. Dinis , J. M. R. Parrondo

Parrondo's paradox indicates a paradoxical situation in which a winning expectation may occur in sequences of losing games. There are many versions of the original Parrondo's games in the literature, but the games are played by two players…

Populations and Evolution · Quantitative Biology 2021-02-03 Atiyeh Fotoohinasab
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