Abstract
We model stealing interactions as a Producer–Scrounger game in an extensive form where one individual, the scrounger, may attempt to steal a valuable item from another, the producer, who may in turn defend it. The population is not homogeneous, but rather the individuals may place a different value on the same resource. The difference in valuation causes the appearance of several informational situations; in this paper we consider three main ones: (1) individuals are aware of their own as well as their opponent’s valuation, (2) individuals are aware only of their own valuation, and (3) individuals are not aware even of their own valuation. We study the effect of information availability on the scrounger’s payoff. We not only show that situation (1) is never worse than (2), but we also demonstrate that situation (3) can be worse than (1) and (2) for some parameters, but can be better than (1) and (2) for other values.
Keywords
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.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Barnard, C.J., Sibly, R.M.: Producers and scroungers: a general model and its application to captive flocks of house sparrows. Anim. Behav. 29(2), 543–550 (1981)
Broom, M., Luther, R.M., Ruxton, G.D.: Resistance is useless? Extensions to the game theory of kleptoparasitism. Bull. Math. Biol. 66(6), 1645–1658 (2004)
Broom, M., Ruxton, G.D.: Evolutionarily stable kleptoparasitism: consequences of different prey types. Behav. Ecol. 14(1), 23 (2003)
Broom, M., Rychtář, J.: The evolution of a kleptoparasitic system under adaptive dynamics. J. Math. Biol. 54(2), 151–177 (2007)
Broom, M., Rychtář, J.: A game theoretical model of kleptoparasitism with incomplete information. J. Math. Biol. 59(5), 631–649 (2009)
Broom, M., Rychtář, J.: Kleptoparasitic melees - modelling food stealing featuring contests with multiple individuals. Bull. Math. Biol. 73(3), 683–699 (2011)
Broom, M., Rychtář, J.: Game-Theoretical Models in Biology. CRC, Boca Raton (2013)
Caraco, T., Giraldeau, L.A.: Social foraging: producing and scrounging in a stochastic environment. J. Theor. Biol. 153(4), 559–583 (1991)
Dubois, F., Giraldeau, L.A.: Fighting for resources: the economics of defense and appropriation. Ecology 86(1), 3–11 (2005)
Dubois, F., Giraldeau, L.A., Grant, J.W.A.: Resource defense in a group-foraging context. Behav. Ecol. 14(1), 2 (2003)
Enquist, M., Leimar, O.: Evolution of fighting behaviour: the effect of variation in resource value. J. Theor. Biol. 127(2), 187–205 (1987)
Grimm, M.P., Klinge, M.: Pike and some aspects of its dependence on vegetation. In: Craig, J.F. (ed.) Pike: Biology and Exploitation, pp. 125–156. Chapman & Hall, London (1996)
Iyengar, E.V.: Kleptoparasitic interactions throughout the animal kingdom and a re-evaluation, based on participant mobility, of the conditions promoting the evolution of kleptoparasitism. Biol. J. Linn. Soc. 93(4), 745–762 (2008)
Jeanne, R.L.: Social biology of the neotropical wasp mischocyttarus drewseni. Bull. Mus. Comp. Zool. 144, 63–150 (1972)
Kruuk, H.: The Spotted Hyena: A Study of Predation and Social Behavior. University of Chicago Press, Chicago (1972)
Spear, L.B., Howell, S.N.G., Oedekoven, C.S., Legay, D., Bried, J.: Kleptoparasitism by brown skuas on albatrosses and giant-petrels in the Indian ocean. Auk 116(2), 545–548 (1999)
Steele, W.K., Hockey, P.A.R.: Factors influencing rate and success of intraspecific kleptoparasitism among kelp gulls (Larus dominicanus). Auk 112(4), 847–859 (1995)
Triplet, P., Stillman, R.A., Goss-Custard, J.D.: Prey abundance and the strength of interference in a foraging shorebird. J. Anim. Ecol. 68(2), 254–265 (1999)
Vickery, W.L., Giraldeau, L.A., Templeton, J.J., Kramer, D.L., Chapman, C.A.: Producers, scroungers and group foraging. Am. Nat. 137(6), 847–863 (1991)
Acknowledgments
The research was supported by NSF grants DMS-0850465 and DBI-0926288, Simons Foundation grant 245400 and UNCG Undergraduate Research Award in Mathematics and Statistics.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media New York
About this paper
Cite this paper
Broom, M., Rychtář, J., Sykes, D.G. (2013). The Effect of Information on Payoff in Kleptoparasitic Interactions. In: Rychtář, J., Gupta, S., Shivaji, R., Chhetri, M. (eds) Topics from the 8th Annual UNCG Regional Mathematics and Statistics Conference. Springer Proceedings in Mathematics & Statistics, vol 64. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-9332-7_13
Download citation
DOI: https://doi.org/10.1007/978-1-4614-9332-7_13
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-9331-0
Online ISBN: 978-1-4614-9332-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)