Abstract.
Cooperation based on similarity has been discussed since Richard Dawkins introduced the term “green beard” effect. In these models, individuals cooperate based on an aribtrary signal (or tag) such as the famous green beard. Here, two different models for such tag based cooperation are analysed. As neutral drift is important in both models, a finite population framework is applied. The first model, which we term “cooperative tags” considers a situation in which groups of cooperators are formed by some joint signal. Defectors adopting the signal and exploiting the group can lead to a breakdown of cooperation. In this case, conditions are derived under which the average abundance of the more cooperative strategy exceeds 50%. The second model considers a situation in which individuals start defecting towards others that are not similar to them. This situation is termed “defective tags”. It is shown that in this case, individuals using tags to cooperate exclusively with their own kind dominate over unconditional cooperators.
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References
W.D. Hamilton, J. Theor. Biol. 7, 1 (1964)
W.D. Hamilton, J. Theor. Biol. 7, 17 (1964)
R. Dawkins, The Selfish Gene (Oxford University Press, New York, 1976)
R. Dawkins, The extended phenotype (Oxford University Press, Oxford, 1982)
D. Haig, Proc. Natl. Acad. Sci. USA 93, 6547 (1996)
L. Keller, K.G. Ross, Nature 394, 573 (1998)
D.C. Queller, E. Ponte, S. Bozzaro, J.E. Strassmann, Science 299, 105 (2003)
K. Summers, B. Crespi, Proc. Roy. Soc. Lond. B 272, 643 (2005)
G. Hartvigsen, L. Worden, S. Levin, Complexity 5, 14 (2000)
A. Traulsen, M.A. Nowak, PLoS One 2, e270 (2007)
R. Axelrod, R.A. Hammond, A. Grafen, Evolution 58, 1833 (2004)
A. Traulsen, H.G. Schuster, Phys. Rev. E 68, 046129 (2003)
D. Hales, B. Edmonds, IEEE Transactions on systems, man, and cybernetics – Part A: systems and humans 35, 385 (2005)
T. Pfeiffer, M.A. Nowak, Curr. Biol. 16, R946 (2006)
R.L. Riolo, M.D. Cohen, R. Axelrod, Nature 414, 441 (2001)
V.A.A. Jansen, M. Van Baalen, Nature 440, 663 (2006)
R. Axelrod, R.A. Hammond, Proc. Midwest Political Science Convention (2003)
J. Hofbauer, K. Sigmund, Evolutionary Games and Population Dynamics (Cambridge University Press, Cambridge, 1998)
M.A. Nowak, R.M. May, Nature 359, 826 (1992)
K. Lindgren, M.G. Nordahl, Physica D 75, 292 (1994)
G. Szabó, C. Tőke, Phys. Rev. E 58, 69 (1998)
F. Schweitzer, L. Behera, H. Mühlenbein, Advances in Complex Systems 5, 269 (2002)
H. Ohtsuki, C. Hauert, E. Lieberman, M.A. Nowak, Nature 441, 502 (2006)
L.E. Blume, Games and Economic Behavior 5, 387 (1993)
A. Traulsen, M.A. Nowak, J.M. Pacheco, Phys. Rev. E 74, 11909 (2006)
A. Traulsen, J.M. Pacheco, M.A. Nowak, J. Theor. Biol. 246, 522 (2007)
M.A. Nowak, A. Sasaki, C. Taylor, D. Fudenberg, Nature 428, 646 (2004)
C. Taylor, D. Fudenberg, A. Sasaki, M.A. Nowak, Bull. Math. Biol. 66, 1621 (2004)
T. Antal, I. Scheuring, Bull. Math. Biol. 68, 1923 (2006)
A. Traulsen, N. Shoresh, M.A. Nowak, Bull. Math. Biol. (2007), submitted
L.A. Imhof, D. Fudenberg, M.A. Nowak, Proc. Natl. Acad. Sci. USA 102, 10797 (2005)
C. Hauert, A. Traulsen, H. Brandt, M.A. Nowak, K. Sigmund, Science 316, 1905 (2007)
G. Roberts, T.N. Sherratt, Nature 418, 499 (2002)
N. Masuda, H. Ohtsuki, Proc. Roy. Soc. Lond. B 274, 689 (2007)
A. Traulsen, J.C. Claussen, Phys. Rev. E 70, 046128 (2004)
R.A. Hammond, R. Axelrod, Theor. Pop. Biol. 69, 333 (2006)
D. Hales, Change your tags fast! – A necessary condition for cooperation?, in Proceedings of the Workshop on Multi-Agents and Multi-Agent-Based Simulation (2004), Vol. LNAI 3415, pp. 89–98
K. Sigmund, M.A. Nowak, Nature 414, 403 (2001)
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Traulsen, A. Mechanisms for similarity based cooperation. Eur. Phys. J. B 63, 363–371 (2008). https://doi.org/10.1140/epjb/e2008-00031-3
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DOI: https://doi.org/10.1140/epjb/e2008-00031-3