Parental care as a differential game: A dynamic extension of the Houston–Davies game

Ewald, C. , McNamara, J. and Houston, A. (2007) Parental care as a differential game: A dynamic extension of the Houston–Davies game. Applied Mathematics and Computation, 190(2), pp. 1450-1465. (doi:10.1016/j.amc.2007.02.060)

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Publisher's URL: http://dx.doi.org/10.1016/j.amc.2007.02.060

Abstract

An interpretation of the conflict between male and female parents during the process of caring for their common offspring by means of Game Theory was given in Houston and Davies. [A.I. Houston, N.B. Davies, The evolution of cooperation and life history in the dunnock Prunella modularis, in: R.M. Sibly, R.H. Smith (Eds.), Behavioral Ecology, Blackwell Scientific Publications, 1985, pp. 471–487]. Mathematically, this model represents a static game with continuous strategy sets. Recently, this model was reconsidered in a dynamic discrete time framework which also included state dependencies [J.M. McNamara et al., A dynamic game-theoretic model of parental care, J. Theor. Biol. 205 (2000) 605–623]. In this article, we give an interpretation of the parental care conflict in continuous time by means of a differential game with state dependent strategies.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Ewald, Professor Christian
Authors: Ewald, C., McNamara, J., and Houston, A.
College/School:College of Social Sciences > Adam Smith Business School > Economics
Journal Name:Applied Mathematics and Computation
ISSN:0096-3003
Published Online:24 February 2007

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