Evolutionary Game Theory and Population Dynamics

Many socio-economic and biological processes can be modeled as systems of interacting individuals. The behaviour of such systems can be often described within game-theoretic models. In these lecture notes, we introduce fundamental concepts of evolutionary game theory and review basic properties of deterministic replicator dynamics and stochastic dynamics of finite populations. We discuss stability of equilibria in deterministic dynamics with migration, time-delay, and in stochastic dynamics of well-mixed populations and spatial games with local interactions. We analyze the dependence of the long-run behaviour of a population on various parameters such as the time delay, the noise level, and the size of the population.

• Publication year

  2007

• Venue

  arXiv: Populations and Evolution

• Publication date

  2007-03-28

• Fields of study

  Biology, Mathematics, Physics, Computer Science

• Identifiers
  DOI 10.1007/978-3-540-78362-6_5arXiv q-bio/0703062
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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