Viscous population equilibria

Roger B. Myerson; Gregory B. Pollock; Jeroen M. Swinkels

doi:10.1016/0899-8256(91)90007-2

Viscous population equilibria

Roger B. Myerson^*, Gregory B. Pollock, Jeroen M. Swinkels

^*Corresponding author for this work

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Abstract

Viscosity in a biological population is the tendency of individuals to have a higher rate of interactions with their closer relatives than with similar numbers of more distantly related individuals. This paper presents a simple method of equilibrium analysis to predict the effect of viscosity in biological games. Taking the limit as viscosity goes to zero, a set of fluid population equilibria is defined. The set of fluid population equilibria is nonempty and includes all evolutionary stable strategies.

Original language	English (US)
Pages (from-to)	101-109
Number of pages	9
Journal	Games and Economic Behavior
Volume	3
Issue number	1
DOIs	https://doi.org/10.1016/0899-8256(91)90007-2
State	Published - Feb 1991

ASJC Scopus subject areas

Finance
Economics and Econometrics

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abstract = "Viscosity in a biological population is the tendency of individuals to have a higher rate of interactions with their closer relatives than with similar numbers of more distantly related individuals. This paper presents a simple method of equilibrium analysis to predict the effect of viscosity in biological games. Taking the limit as viscosity goes to zero, a set of fluid population equilibria is defined. The set of fluid population equilibria is nonempty and includes all evolutionary stable strategies.",

author = "Myerson, {Roger B.} and Pollock, {Gregory B.} and Swinkels, {Jeroen M.}",

note = "Funding Information: * Gregory Pollock{\textquoteright}s research has been supported by Grant DE-FG02-89ER60884 from the Ecological Research Division, Office of Health and Environmental Research, U.S. Department of Energy.",

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AU - Pollock, Gregory B.

AU - Swinkels, Jeroen M.

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N2 - Viscosity in a biological population is the tendency of individuals to have a higher rate of interactions with their closer relatives than with similar numbers of more distantly related individuals. This paper presents a simple method of equilibrium analysis to predict the effect of viscosity in biological games. Taking the limit as viscosity goes to zero, a set of fluid population equilibria is defined. The set of fluid population equilibria is nonempty and includes all evolutionary stable strategies.

AB - Viscosity in a biological population is the tendency of individuals to have a higher rate of interactions with their closer relatives than with similar numbers of more distantly related individuals. This paper presents a simple method of equilibrium analysis to predict the effect of viscosity in biological games. Taking the limit as viscosity goes to zero, a set of fluid population equilibria is defined. The set of fluid population equilibria is nonempty and includes all evolutionary stable strategies.

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Viscous population equilibria

Abstract

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