CoChat
Sign Up
Cited by 281Evolutionary Game Theory and CooperationEvolution and Genetic DynamicsGame Theory and Applications

The DOI matches its Crossref record; 128 of the 128 references it cites were found in a registry or an index.

Strategy selection in structured populations

Open access
Tarnita, Corina E., Ohtsuki, Hisashi, Antal, Tibor, Fu, Feng, Nowak, Martin A.·2009·Journal of Theoretical Biology
DOI 10.1016/j.jtbi.2009.03.035PMC PMC2710410
Open this paper in CoChat — free account

Abstract

Evolutionary game theory studies frequency dependent selection. The fitness of a strategy is not constant, but depends on the relative frequencies of strategies in the population. This type of evolutionary dynamics occurs in many settings of ecology, infectious disease dynamics, animal behavior and social interactions of humans. Traditionally evolutionary game dynamics are studied in well-mixed populations, where the interaction between any two individuals is equally likely. There have also been several approaches to study evolutionary games in structured populations. In this paper we present a simple result that holds for a large variety of population structures. We consider the game between two strategies, A and B, described by the payoff matrix(abcd). We study a mutation and selection process. For weak selection strategy A is favored over B if and only if sigma a+b>c+sigma d. This means the effect of population structure on strategy selection can be described by a single parameter, sigma. We present the values of sigma for various examples including the well-mixed population, games on graphs, games in phenotype space and games on sets. We give a proof for the existence of such a sigma, which holds for all population structures and update rules that have certain (natural) properties. We assume weak selection, but allow any mutation rate. We discuss the relationship between sigma and the critical benefit to cost ratio for the evolution of cooperation. The single parameter, sigma, allows us to quantify the ability of a population structure to promote the evolution of cooperation or to choose efficient equilibria in coordination games.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1016/j.jtbi.2009.03.035

Cites

128 of 128 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Show all 128 references

Cited by

Sorted by citations

Items 101–200 of 265

Related

See all

Metadata

Authors
Tarnita, C. E., Ohtsuki, H., Antal, T., Fu, F., & Nowak, M. A.
Affiliations
  • Harvard University (US)
  • Tokyo Institute of Technology (JP)
Corresponding author
Tarnita, Corina E.
ORCID
Venue
Journal of Theoretical Biology
Publisher
Elsevier BV
Published
2009-08
Volume
259
Issue
3
Pages
570-581
ISSN
0022-5193 (ISSN-L)
DOI
10.1016/j.jtbi.2009.03.035
PMC
PMC2710410
OpenAlex
W2103207495
Cited by
281
References
128
Citations by year
2026: 21 · 2025: 12 · 2024: 16 · 2023: 19 · 2022: 12 · 2021: 16 · 2020: 7 · 2019: 17 · 2018: 19 · 2017: 13 · 2016: 21 · 2015: 17 · 2014: 29 · 2013: 20 · 2012: 16
FWCI
45.29
Type
journal article
Language
en
Open access
Licence
www.elsevier.com/tdm/userlicense/1.0/ (tdm)
Locations
  • Journal of Theoretical Biology (publishedVersion)
  • PubMed (publishedVersion)
  • Europe PMC (PubMed Central) (acceptedVersion)
  • PubMed Central (acceptedVersion)
  • Digital Access to Scholarship at Harvard (DASH) (Harvard University) (submittedVersion, cc-by)
Funders
National Institute of General Medical Sciences (R01GM078986)
Topics
  • Social Sciences › Sociology and Political Science › Evolutionary Game Theory and Cooperation
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
  • Social Sciences › Decision Sciences › Management Science and Operations Research › Game Theory and Applications
Keywords
structured populations, evolutionary game theory, frequency-dependent selection, weak selection, evolution of cooperation, coordination games, graph games, phenotype space, sets, mutation and selection, well-mixed populations
MeSH terms
Animals, Computer Simulation, Game Theory, Models, Genetic, Mutation, Population Density, Population Dynamics, Selection, Genetic

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review