Geodesic
Kleptoparasitic Interactions under Asymmetric Resource Valuation
M. Broom1 ; J. Rychtář2 ; D. Sykes2
1 Department of Mathematical Science, City University London, Northampton Square, London, EC1V 0HB, UK
2 Department of Mathematics and Statistics, The University of North Carolina at Greensboro, Greensboro, NC 27402, USA
Mathematical modelling of natural phenomena, Tome 9 (2014) no. 3, pp. 138-147.

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We introduce a game theoretical model of stealing interactions. We model the situation as an extensive form game when one individual may attempt to steal a valuable item from another who may in turn defend it. The population is not homogeneous, but rather each individual has a different Resource Holding Potential (RHP). We assume that RHP not only influences the outcome of the potential aggressive contest (the individual with the larger RHP is more likely to win), but that it also influences how an individual values a particular resource. We investigate several valuation scenarios and study the prevalence of aggressive behaviour. We conclude that the relationship between RHP and resource value is crucial, where some cases lead to fights predominantly between pairs of strong individuals, and some between pairs of weak individuals. Other cases lead to no fights with one individual conceding, and the order of strategy selection is crucial, where the individual which picks its strategy first often has an advantage.
DOI : 10.1051/mmnp/20149309

M. Broom 1 ; J. Rychtář 2 ; D. Sykes 2

1 Department of Mathematical Science, City University London, Northampton Square, London, EC1V 0HB, UK
2 Department of Mathematics and Statistics, The University of North Carolina at Greensboro, Greensboro, NC 27402, USA 
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M. Broom; J. Rychtář; D. Sykes. Kleptoparasitic Interactions under Asymmetric Resource Valuation. Mathematical modelling of natural phenomena, Tome 9 (2014) no. 3, pp. 138-147. doi : 10.1051/mmnp/20149309. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20149309/

[1] C.J. Barnard. Producers and scroungers: strategies of exploitation and parasitism. Springer, 1984.

[2] C.J. Barnard, R.M. Sibly Anim. Behav. 1981 543 550

[3] E. Bonabeau, G. Theraulaz, J.L. Deneubourg Bull. Math. Biol. 1999 727 757

[4] M. Broom, R.M. Luther, G.D. Ruxton Bull. Math. Biol. 2004 1645 1658

[5] M. Broom, G.D. Ruxton Behav. Ecol. 2003 23 33

[6] M. Broom, J. Rychtář J. Math. Biol. 2007 151 177

[7] M. Broom, J. Rychtář Bull. Math. Biol. 2011 683 699

[8] M. Broom, J. Rychtář. Game-theoretical Models in Biology. vol. 48, CRC Press, 2013.

[9] M. Broom, J. Rychtář, D.G. Sykes. The effect of information on payoff in kleptoparasitic interactions. Topics from the 8th Annual UNCG Regional Mathematics and Statistics Conference, Springer, 2013, pp. 125–134.

[10] T. Caraco, L.A. Giraldeau J. Theor. Biol. 1991 559 583

[11] B.D. Davis, L.M. Dill Behaviour 2012 1367 1394

[12] J.K.V. Delhey, M. Carrete, M. Martínez Ardea 2001 319 329

[13] F. Dubois, L.A. Giraldeau Ecology 2005 3 11

[14] F. Dubois, L.A. Giraldeau, J.W.A. Grant Behav. Ecol. 2003 2 9

[15] L.A. Dugatkin Behav. Ecol. 1997 583 587

[16] M. Enquist, O. Leimar J. Theor. Biol. 1987 187 205

[17] M.P. Grimm, M. Klinge. Pike and some aspects of its dependence on vegetation. Craig J.F, editor. Pike: biology and exploitation, Chapman Hall, 1996, pp. 125–156.

[18] I.M. Hamilton, L.M. Dill Behav. Ecol. 2003 561 568

[19] A. Houston, J.M. McNamara. Models of adaptive behaviour: An Approach Based on State. Cambridge Univ. Pr., 1999.

[20] E.V. Iyengar Biol. J. Linn. Soc. 2008 745 762

[21] R.L. Jeanne Bull. Mus. Comp. Zool. 1972 63 150

[22] H. Kruuk. The spotted hyena: a study of predation and social behavior. Univ. Chicago Press, Chicago, 1972.

[23] M. Mesterton-Gibbons, L.A. Dugatkin Behav. Ecol. 1995 416 423

[24] G.A. Parker J. Theor. Biol. 1974 223 243

[25] H.K. Reeve, F.L.W. Ratnieks. Queen-queen conflicts in polygynous societies: mutual tolerance and reproductive skew. Queen number and sociality in insects, Keller, L. (ed.), Oxford Univ. Pr., Oxford, 1993, 45–85.

[26] L.B. Spear, S.N.G. Howell, C.S. Oedekoven, D. Legay, J. Bried. Kleptoparasitism by brown skuas on albatrosses and giant-petrels in the Indian Ocean. The Auk, (1999), 545–548.

[27] W.K. Steele, P.A.R. Hockey. Factors influencing rate and success of intraspecific kleptoparasitism among kelp gulls (Larus dominicanus). The Auk, (1995), 847–859.

[28] P. Triplet, R.A. Stillman, J.D. Goss-Custard J. Anim. Ecol. 1999 254 265

[29] S.L. Vehrencamp Amer. Zool. 1983 327 335

[30] W.L. Vickery, L.A. Giraldeau, J.J. Templeton, D.L. Kramer, C.A. Chapman. Producers, scroungers and group foraging. Amer. Nat., (1991), 847–863.

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