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An analytical result and an algorithm are derived for the probability distribution of the one-dimensional cooperative Parrondo's games. We show that winning and the occurrence of the paradox depends on the number of players. Analytical…

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

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

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

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

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 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

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

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 games are coin flipping games with the surprising property that alternating plays of two losing games can produce a winning game. We show that this phenomenon can be modelled by probabilistic lattice gas automata. Furthermore,…

Quantum Physics · Physics 2007-05-23 David A. Meyer , Heather Blumer

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

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

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

Coordination and cooperation are among the most important issues of game theory. Recently, the attention turned to game theory on graphs and social networks. Encouraged by interesting results obtained in quantum evolutionary game analysis,…

Quantum Physics · Physics 2020-11-10 Łukasz Pawela , Jan Sładkowski

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 games with one-dimensional spatial dependence were introduced by Toral and extended to the two-dimensional setting by Mihailovi\'c and Rajkovi\'c. $MN$ players are arranged in an $M\times N$ array. There are three games, the fair,…

Probability · Mathematics 2015-10-26 S. N. Ethier , Jiyeon Lee

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

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

Toral introduced so-called cooperative Parrondo games, in which there are N players (3 or more) arranged in a circle. At each turn one player is randomly chosen to play. He plays either game A or game B. Game A results in a win or loss of…

Probability · Mathematics 2012-07-18 S. N. Ethier , Jiyeon Lee

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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