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Related papers: A Parrondo Paradox in Reliability Theory

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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 2012-06-14 Norihito Toyota

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

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

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

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

Parrondo's paradox refers to the counter-intuitive situation where a winning strategy results from a suitable combination of losing ones. Simple stochastic games exhibiting this paradox have been introduced around the turn of the…

Statistical Mechanics · Physics 2019-08-20 J. M. Luck

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

Physics and Society · Physics 2012-11-11 Norihito Toyota

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

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

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

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

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

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 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

We present new versions of the Parrondo's paradox by which a losing game can be turned into winning by including a mechanism that allows redistribution of the capital amongst an ensemble of players. This shows that, for this particular…

Condensed Matter · Physics 2007-05-23 Raul Toral

We study an ensemble of individuals playing the two games of the so-called Parrondo paradox. In our study, players are allowed to choose the game to be played by the whole ensemble in each turn. The choice cannot conform to the preferences…

Physics and Society · Physics 2016-08-10 J. M. R. Parrondo , L. Dinis , E. García-Toraño , B. Sotillo

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 pursue the possible connections between classical games and quantum computation. The Parrondo game is one in which a random combination of two losing games produces a winning game. We introduce novel realizations of this Parrondo effect…

Quantum Physics · Physics 2007-05-23 Chiu Fan Lee , Neil Johnson

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

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
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