publication . Article . Preprint . 2015

quantum games on evolving random networks

Pawela, Łukasz;
Open Access
  • Published: 30 Dec 2015 Journal: Physica A: Statistical Mechanics and its Applications, volume 458, pages 179-188 (issn: 0378-4371, Copyright policy)
  • Publisher: Elsevier BV
Abstract
We study the advantages of quantum strategies in evolutionary social dilemmas on evolving random networks. We focus our study on the two-player games: prisoner's dilemma, snowdrift and stag-hunt games. The obtained result show the benefits of quantum strategies for the prisoner's dilemma game. For the other two games, we obtain regions of parameters where the quantum strategies dominate, as well as regions where the classical strategies coexist.
Subjects
arXiv: Computer Science::Computer Science and Game TheoryQuantitative Biology::Populations and EvolutionPhysics::Physics and Society
free text keywords: Game theory, Dilemma, Quantum games, Social dilemma, Mathematical economics, Quantum, Mathematics, Physics - Physics and Society, Quantum Physics
Related Organizations
22 references, page 1 of 2

[1] M. A. Nowak and R. M. May, Nature 359, 826 (1992).

[2] G. Szabo and G. Fath, Physics Reports 446, 97 (2007).

[3] R. Albert and A.-L. Barabasi, Physical review letters 85, 5234 (2000).

[4] A. Szolnoki and M. Perc, EPL (Europhysics Letters) 86, 30007 (2009).

[5] J. Eisert, M. Wilkens, and M. Lewenstein, Physical Review Letters 83, 3077 (1999).

[6] D. A. Meyer, Physical Review Letters 82, 1052 (1999).

[7] A. P. Flitney and D. Abbott, Fluctuation and Noise Letters 2, R175 (2002).

[8] E. W. Piotrowski and J. Sladkowski, International Journal of Theoretical Physics 42, 1089 (2003).

[9] J. A. Miszczak, P. Gawron, and Z. Puchala, Quantum Information Processing 11, 1571 (2012).

[10] P. Gawron, D. Kurzyk, and L. Pawela, Quantum Information Processing 13, 665 (2014).

[11] A. P. Flitney and D. Abbott, in Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences (The Royal Society, 2003), vol. 459, pp. 2463{2474.

[12] A. P. Flitney, J. Ng, and D. Abbott, Physica A: Statistical Mechanics and its Applications 314, 35 (2002).

[13] L. Pawela and J. Sladkowski, Physica D: Nonlinear Phenomena 256, 51 (2013).

[14] G. Brassard, A. Broadbent, and A. Tapp, Foundations of Physics 35, 1877 (2005). [OpenAIRE]

[15] P. Gawron, J. Miszczak, and J. Sladkowski, International Journal of Quantum Information 6, 667 (2008).

22 references, page 1 of 2
Powered by OpenAIRE Research Graph
Any information missing or wrong?Report an Issue