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Related papers: Parrondo games with spatial dependence, III

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Inspired by the flashing ratchet, Parrondo's game presents an apparently paradoxical situation. Parrondo's game consists of two individual games, game A and game B. Game A is a slightly losing coin-tossing game. Game B has two coins, with…

Statistical Mechanics · Physics 2014-05-27 Degang Wu , Kwok Yip Szeto

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 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 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

We introduce a new family of Parrondo's games of alternating losing strategies in order to get a winning result. In our version of the games we consider an ensemble of players and use "social" rules in which the probabilities of the games…

Condensed Matter · Physics 2007-05-23 R. Toral

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

We consider the discrete-time quantum walk in the plane, and present a quantum implementation of Parrondo's game for four players. Physical significance of the game strategies are also discussed.

Quantum Physics · Physics 2011-08-30 Clement Ampadu

We present two collective games with new paradoxical features when they are combined. Besides reproducing the so--called Parrondo effect, where a winning game is obtained from the alternation of two fair games, a new effect appears, i.e.,…

Probability · Mathematics 2009-11-11 P. Amengual , P. Meurs , B. Cleuren , R. Toral

Parrondo's coin-tossing games comprise two games, $A$ and $B$. The result of game $A$ is determined by the toss of a fair coin. The result of game $B$ is determined by the toss of a $p_0$-coin if capital is a multiple of $r$, and by the…

Probability · Mathematics 2020-01-03 S. N. Ethier , Jiyeon Lee

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 quantum walk in one-dimension using two different "coin" operators. By mixing two operators, both of which give a biased walk with negative expectation value for the walker position, it is possible to reverse the bias through…

Quantum Physics · Physics 2012-09-12 Adrian P. Flitney

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 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

We consider a non-cooperative constrained stochastic games with N players with the following special structure. With each player there is an associated controlled Markov chain. The transition probabilities of the i-th Markov chain depend…

Information Theory · Computer Science 2007-07-13 E. Altman , K. Avrachenkov , N. Bonneau , M. Debbah , R. El-Azouzi , D. Sadoc Menasche

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

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…

Statistical Mechanics · Physics 2023-06-14 Sandro Breuer , Andreas Mielke

Inspired by asynchronous cooperative Parrondo's games we introduce two new types of games in which all players simultaneously play game A or game B or a combination of these two games. These two types of games differ in the way a…

Statistical Mechanics · Physics 2007-05-23 Zoran Mihailovic , Milan Rajkovic

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's paradox is a counterintuitive phenomenon in which individually losing strategies, canonically termed game A and game B, are combined to produce winning outcomes. In this paper, a co-evolution of game dynamics and network…

Physics and Society · Physics 2019-10-11 Ye Ye , Xiao Rong Hang , Jin Ming Koh , Jarosław Adam Miszczak , Kang Hao Cheong , Neng-gang Xie

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