Collective decision making and paradoxical games

Abstract. 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 of all the players and, consequently, they face a simple frustration phenomenon that requires some strategy to make a collective decision. We consider several such strategies and analyze how fluctuations can be used to improve the performance of the system.

[1]  J. Parrondo,et al.  Closed-loop control strategy with improved current for a flashing ratchet , 2005, cond-mat/0505125.

[2]  D. Abbott,et al.  Quantum Parrondo's games , 2002 .

[3]  L. Dinis,et al.  Optimal strategies in collective Parrondo games , 2002, cond-mat/0212358.

[4]  Francisco J Cao,et al.  Feedback control in a collective flashing ratchet. , 2004, Physical review letters.

[5]  J. M. R. Parrondo,et al.  Inefficiency of voting in Parrondo games , 2004, ArXiv.

[6]  K. Lindenberg,et al.  Outbreaks of Hantavirus induced by seasonality. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[8]  Jose S. Cánovas,et al.  Dynamic Parrondo’s paradox , 2006 .

[9]  J. Rogers.  Chaos , 1876 .

[10]  A. Arkin,et al.  Diversity in times of adversity: probabilistic strategies in microbial survival games. , 2005, Journal of theoretical biology.

[11]  Rajeev Kohli,et al.  Why Parrondo's paradox is irrelevant for utility theory, stock buying, and the emergence of life , 2003, Complex..

[12]  Derek Abbott,et al.  Brownian ratchets and Parrondo's games. , 2001, Chaos.

[13]  J. Urry.  Complexity , 2006, Interpreting Art.

[14]  Touchette,et al.  Information-theoretic limits of control , 1999, Physical review letters.

[15]  R. Rosenfeld.  Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[16]  Derek Abbott,et al.  Game theory: Losing strategies can win by Parrondo's paradox , 1999, Nature.

[17]  Neil F. Johnson,et al.  Quantum coherence, correlated noise and Parrondo games , 2002, quant-ph/0210185.

[18]  Katja Lindenberg,et al.  Extinction in population dynamics. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  J. M. R. Parrondo,et al.  Brownian motion and gambling: from ratchets to paradoxical games , 2004, ArXiv.

[20]  Scott L. Feld,et al.  Collective Decision Making: An Economic Outlook , 1986, American Political Science Review.