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Ecological theatre and the evolutionary game: how environmental and demographic factors determine payoffs in evolutionary games
- Source :
- Journal of Mathematical Biology
- Publication Year :
- 2012
- Publisher :
- Springer Science and Business Media LLC, 2012.
-
Abstract
- In the standard approach to evolutionary games and replicator dynamics, differences in fitness can be interpreted as an excess from the mean Malthusian growth rate in the population. In the underlying reasoning, related to an analysis of “costs” and “benefits”, there is a silent assumption that fitness can be described in some type of units. However, in most cases these units of measure are not explicitly specified. Then the question arises: are these theories testable? How can we measure “benefit” or “cost”? A natural language, useful for describing and justifying comparisons of strategic “cost” versus “benefits”, is the terminology of demography, because the basic events that shape the outcome of natural selection are births and deaths. In this paper, we present the consequences of an explicit analysis of births and deaths in an evolutionary game theoretic framework. We will investigate different types of mortality pressures, their combinations and the possibility of trade-offs between mortality and fertility. We will show that within this new approach it is possible to model how strictly ecological factors such as density dependence and additive background fitness, which seem neutral in classical theory, can affect the outcomes of the game. We consider the example of the Hawk–Dove game, and show that when reformulated in terms of our new approach new details and new biological predictions are produced.
- Subjects :
- 0106 biological sciences
Population
Eco-evolutionary feedback
Density dependence
Trade-off
Affect (psychology)
010603 evolutionary biology
01 natural sciences
Outcome (game theory)
Article
Terminology
03 medical and health sciences
Units of measurement
Game Theory
Modelling and Simulation
Replicator equation
Animals
Replicator dynamics
Mortality
QA
education
030304 developmental biology
Mathematics
0303 health sciences
education.field_of_study
Natural selection
Ecology
QH
Applied Mathematics
Parturition
Models, Theoretical
Biological Evolution
Agricultural and Biological Sciences (miscellaneous)
Death
Fertility
Modeling and Simulation
92D40
Mathematical economics
Game theory
Subjects
Details
- ISSN :
- 14321416 and 03036812
- Volume :
- 67
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Biology
- Accession number :
- edsair.doi.dedup.....0080003244a375fbb77b5b0c3b182624