How is game theory used in biology?
The normal-form table illustrates the concept of a saddlepoint, or entry, in a payoff matrix at which the expected gain of each participant (row or column) has the highest guaranteed payoff.
In biology, game theory is used to analyze how the strategies of individual organismsâsuch as those involving aggression or resource competitionâaffect their survival and reproductive success. Unlike in economics, where players make rational, conscious choices, biological game theory focuses on how specific behavioral traits are maintained in a population through natural selection.123
The Hawk-Dove Model
A foundational application is the Hawk-Dove model, developed by John Maynard Smith and George Price. It examines how conflicts are resolved by defining two strategies:
* Hawks: Individuals that escalate fights until they win or are injured.13
* Doves: Individuals that use displays and retreat before serious injury occurs.13
The model demonstrates that the "best" strategy depends on the behavior of others in the population. An evolutionary stable strategy (ESS) is a state where, if adopted by most of the population, no alternative strategy can perform better. This explains why many animals use conventional displays rather than all-out fighting, as the costs of injury often outweigh the benefits of victory.1
Other Applications
- Bourgeois Strategy: Some species adopt a "bourgeois" approach, where an individual acts as a hawk when defending its own territory but as a dove when elsewhere, effectively using external cues to avoid destructive conflict.3
- Population Dynamics: Mathematical frameworks like the Lotka-Volterra equations are used to model interactions between species, such as competition or predator-prey relationships, assessing how these interactions influence population growth and stability.4