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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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
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
Published Online:24 February 2007

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