Dynamics of Three Agent Games

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Rador, Tonguc; Mungan, Muhittin;
(2007)

We study the dynamics and resulting score distribution of three-agent games where after each competition a single agent wins and scores a point. A single competition is described by a triplet of numbers $p$, $t$ and $q$ denoting the probabilities that the team with the ... View more
  • References (22)
    22 references, page 1 of 3

    [1] Randall J. LeVeque, Numerical Methods and Conservation Laws, second edition, Birkh¨auser Verlag, Basel, 1992.

    [2] W. Weidlich, Sociodynamics: A Systematic Approach to Mathematical Modelling in the Social Sciences (Harwood Academic Publishers, 2000)

    [3] D. Helbing, I. Farkas, and T. Vicsek, Nature 407, 487 (2000).

    [4] I. D. Couzin, J. Krause, N. R. Franks, S. A. Levin, Nature 433, 513 (2005).

    [5] S. Ispolatov, P. L. Krapivsky, and S. Redner, Eur. Phys. Jour. B 2, 267 (1998).

    [6] A. Dragulescu and V. M. Yakovenko, Eur. Phys. Jour. B 17, 723 (2000).

    [7] F. Slanina, Phys. Rev. E 69, 046102 (2004).

    [8] S. Ree, Phys. Rev. E 73, 026115 (2006).

    [9] E. Ben-Naim, N. W. Hengartner, arXiv:physics/0612217

    [10] E. Ben-Naim, F. Vazquez, S. Redner, J. Quant. Anal. Sports, Vol.2, Issue 4, Article 1, (2006).

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