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

Christian-Oliver Ewald; John McNamara; Alasdair Houston

doi:10.1016/j.amc.2007.02.060

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

Christian-Oliver Ewald, John McNamara, Alasdair Houston

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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, Black-well 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. (c) 2007 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	1450-1465
Number of pages	16
Journal	Applied Mathematics and Computation
Volume	190
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2007.02.060
Publication status	Published - 15 Jul 2007

Keywords

models of parental care
behavioral ecology
differential games
game theory
MODEL

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10.1016/j.amc.2007.02.060

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title = "Parental care as a differential game: A dynamic extension of the Houston-Davies game",

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, Black-well 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. (c) 2007 Elsevier Inc. All rights reserved.",

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T1 - Parental care as a differential game: A dynamic extension of the Houston-Davies game

AU - Ewald, Christian-Oliver

AU - McNamara, John

AU - Houston, Alasdair

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Y1 - 2007/7/15

N2 - 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, Black-well 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. (c) 2007 Elsevier Inc. All rights reserved.

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KW - models of parental care

KW - behavioral ecology

KW - differential games

KW - game theory

KW - MODEL

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

Abstract

Keywords

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