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Related Concept Videos

Types of Selection01:46

Types of Selection

Natural selection influences the frequencies of particular alleles and phenotypes within populations in several different ways. Primarily, natural selection can be directional, stabilizing, or disruptive. Directional selection favors one extreme trait and shifts the population towards that phenotype while selecting against individuals displaying alternate traits. Stabilizing selection favors an intermediate trait with a narrow range of variation. Deviation from the optimal phenotype towards an...
Limits to Natural Selection01:38

Limits to Natural Selection

Organisms that are well-adapted to their environment are more likely to survive and reproduce. However, natural selection does not lead to perfectly adapted organisms. Several factors constrain natural selection.For one, natural selection can only act upon existing genetic variation. Hypothetically, redtusks may enhance elephant survival by deterring ivory-seeking poachers. However, if there are no gene variants—or alleles—for redtusks, natural selection cannot increase the prevalence of...
Natural Selection and Mating Preferences01:06

Natural Selection and Mating Preferences

The principle of natural selection posits that organisms better adapted to their environment are more likely to survive and reproduce. This principle is closely intertwined with mating preferences, a key aspect of sexual selection, which evolutionary psychologists believe is driven by instincts to propagate one's genes. Such instincts significantly influence mating behaviors and preferences between genders.
Females, due to their biological roles in conception, pregnancy, and nursing, inherently...
Mutation, Gene Flow, and Genetic Drift01:09

Mutation, Gene Flow, and Genetic Drift

In a population that is not at Hardy-Weinberg equilibrium, the frequency of alleles changes over time. Therefore, any deviations from the five conditions of Hardy-Weinberg equilibrium can alter the genetic variation of a given population. Conditions that change the genetic variability of a population include mutations, natural selection, non-random mating, gene flow, and genetic drift (small population size).Mechanisms of Genetic VariationThe original sources of genetic variation are mutations,...
Hardy-Weinberg Principle01:49

Hardy-Weinberg Principle

Diploid organisms have two alleles of each gene, one from each parent, in their somatic cells. Therefore, each individual contributes two alleles to the gene pool of the population. The gene pool of a population is the sum of every allele of all genes within that population and has some degree of variation. Genetic variation is typically expressed as a relative frequency, which is the percentage of the total population that has a given allele, genotype or phenotype.In the early 20th century,...
Genetic Drift03:33

Genetic Drift

Natural selection—probably the most well-known evolutionary mechanism—increases the prevalence of traits that enhance survival and reproduction. However, evolution does not merely propagate favorable traits, nor does it always benefit populations.Life is not fair. A deer grazing contentedly in a field can have her meal cut tragically short by a bolt of lightning. If the doomed doe is one of only three in the population, 1/3 of the population’s gene pool is lost. Random events like this can...

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Related Experiment Video

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Following the Dynamics of Structural Variants in Experimentally Evolved Populations
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Following the Dynamics of Structural Variants in Experimentally Evolved Populations

Published on: February 3, 2023

Mutation-selection equilibrium in games with mixed strategies.

Corina E Tarnita1, Tibor Antal, Martin A Nowak

  • 1Program for Evolutionary Dynamics, Department of Mathematics, Harvard University, Cambridge, MA 02138, USA. corina@math.harvard.edu

Journal of Theoretical Biology
|August 4, 2009
PubMed
Summary

We present a new method for analyzing evolutionary game dynamics with mixed strategies in finite populations. Our findings reveal conditions favoring or opposing strategies based on mutation rates, applicable to games like Hawk-Dove.

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Area of Science:

  • Evolutionary Game Theory
  • Population Genetics
  • Mathematical Biology

Background:

  • Stochastic evolutionary game dynamics model strategy evolution in populations.
  • Mixed strategies, probability distributions over pure strategies, are crucial in game theory.
  • Finite population dynamics and weak selection are key factors in evolutionary processes.

Purpose of the Study:

  • To develop a novel method for analyzing stochastic evolutionary game dynamics of mixed strategies.
  • To determine the average abundance of mixed strategies in stationary distributions under mutation-selection.
  • To identify conditions under which strategies are favored or opposed by selection.

Main Methods:

  • Modeling evolutionary dynamics in a finite, well-mixed population.
  • Incorporating weak selection, where game payoff is a small fitness component.
  • Analyzing mutation-selection processes with random strategy adoption by mutants.

Main Results:

  • Derived average abundances for all mixed strategies in the stationary distribution.
  • Identified distinct conditions for strategy selection at low and high mutation rates.
  • Showcased results with the Hawk-Dove game, demonstrating general applicability.

Conclusions:

  • The developed method provides a framework for understanding mixed strategy evolution.
  • Selection criteria for strategies vary significantly with mutation rate.
  • The study offers generalizable insights into the interplay between pure and mixed strategies in evolutionary games.