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Collective decision making and paradoxical games

  • J. M.R. Parrondo
  • L. Dinis
  • E. García-Toraño
  • B. Sotillo
Article

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.

Keywords

European Physical Journal Special Topic Collective Decision Periodic Sequence Simple Majority Average Gain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. S. Nitzan, J. Paroush, Collective decision making: an economic outlook (Cambridge University Press, Cambridge, 1985) Google Scholar
  2. G.P. Harmer, D. Abbott, Nature 402, 864 (1999) CrossRefADSGoogle Scholar
  3. J.M.R. Parrondo, L. Dinis, Cont. Phys. 45, 147 (2004) CrossRefADSGoogle Scholar
  4. L. Dinis, J.M.R. Parrondo, Physica A 343, 701 (2004) CrossRefADSMathSciNetGoogle Scholar
  5. L. Dinis, J.M.R. Parrondo, Europhys. Lett. 63, 319 (2003) CrossRefADSGoogle Scholar
  6. A.P. Flitney, J. Ng, D. Abbott, Physica A 314, 35 (2002) zbMATHCrossRefADSMathSciNetGoogle Scholar
  7. C.F. Lee, N.F. Johnson, F. Rodriguez, L. Quiroga, Fluct. Noise Lett. 2, L293 (2002) Google Scholar
  8. J. Buceta, C. Escudero, F.J. de la Rubia, K. Lindenberg, Phys. Rev. E 69, 021906 (2004) CrossRefADSMathSciNetGoogle Scholar
  9. D.M. Wolf, V.V. Vazirani, A.P. Arkin. J. Theor. Biol. 234, 227 (2005) CrossRefGoogle Scholar
  10. J.S. Canovas, A. Linero, D. Peralta-Salas, Physica D 218, 177 (2006) zbMATHCrossRefADSMathSciNetGoogle Scholar
  11. F.J. Cao, L. Dinis, J.M.R. Parrondo, Phys. Rev. Lett. 93, 040603 (2004) CrossRefADSGoogle Scholar
  12. L. Dinis, J.M.R. Parrondo, F.J. Cao, Europhys. Lett. 71, 536 (2005) CrossRefADSMathSciNetGoogle Scholar
  13. R. Iyengar, R. Kohli, Complexity 9, 23 (2003) CrossRefMathSciNetGoogle Scholar
  14. G.P. Harmer, D. Abbott, P.G. Taylor, J.M.R. Parrondo, Chaos 11, 705 (2001) zbMATHCrossRefADSGoogle Scholar
  15. H. Linke (to be published) Google Scholar
  16. B. Cleuren, Ph.D. thesis, University of Hasselt, 2004 Google Scholar
  17. L. Dinis, Ph.D. thesis, Universidad Complutense de Madrid, 2005 Google Scholar
  18. H. Touchette, S. Lloyd, Phys. Rev. Lett. 84, 1156 (2000) CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  • J. M.R. Parrondo
    • 1
  • L. Dinis
    • 1
  • E. García-Toraño
    • 1
  • B. Sotillo
    • 1
  1. 1.Grupo Interdicisplinar de Sistemas Complejos (GISC) and Dep. Física Atómica, Molecular y Nuclear Universidad Complutense de MadridMadridSpain

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