Nash Equilibria of a Dynamical Game in Age-Structured Population Resources

HE Zerong;XIE Qiangjun

Journal of Systems Science and Mathematical Sciences ›› 2010, Vol. 30 ›› Issue (10) : 1304-1312.

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Journal of Systems Science and Mathematical Sciences ›› 2010, Vol. 30 ›› Issue (10) : 1304-1312. DOI: 10.12341/jssms09268
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Nash Equilibria of a Dynamical Game in Age-Structured Population Resources

  • HE Zerong, XIE Qiangjun
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Abstract

A dynamical game in the exploitation of age-dependent population resources is studied. The existence of Nash equilibria is established by means of Kakutani's fixed point theorem for multivalued mappings, and the structure of the equilibria is described by tangent-normal cones and adjoint system techniques. The conclusion shows that, under certain conditions, the optimal strategies are of Bang-Bang type.

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Age dependence / dynamical game / Nash equilibrium / Kakutani fixed point / normal cone.

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HE Zerong , XIE Qiangjun. Nash Equilibria of a Dynamical Game in Age-Structured Population Resources. Journal of Systems Science and Mathematical Sciences, 2010, 30(10): 1304-1312 https://doi.org/10.12341/jssms09268
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