COEVOLUTION AS AN EVOLUTIONARY GAME.

Area of Science:

• Evolutionary biology
• Game theory
• Population genetics

Background:

• Coevolutionary dynamics are often modeled using game theory, where individual fitness depends on others' strategies.
• Previous models primarily focused on density-dependent selection, potentially overlooking crucial frequency-dependent interactions.
• An evolutionary stable strategy (ESS) represents a stable state where no rare mutant strategy can invade.

Purpose of the Study:

• To extend coevolutionary modeling by incorporating frequency-dependent selection.
• To re-evaluate the coevolutionary model of Rummel and Roughgarden (1985) using a game-theoretic approach.
• To demonstrate the utility of game theory in understanding complex evolutionary dynamics and competitive speciation.

Main Methods:

• Modeling coevolution as a continuous game with fitness-maximizing individuals.
• Applying the concept of an evolutionary stable strategy (ESS) to identify stable community compositions.
• Analyzing frequency-dependent selection and its implications for evolutionary stability criteria.

Main Results:

• The study demonstrates that coevolutionary models can incorporate frequency-dependent selection, extending previous frameworks.
• It identifies an error in the interpretation of Rummel and Roughgarden's model, showing ecological and evolutionary processes are not in conflict.
• Examples illustrate ESS composed of single or multiple strategies, highlighting the model's flexibility.

Conclusions:

• Game theory provides a robust framework for modeling coevolution, particularly when frequency-dependent selection is considered.
• The approach reconciles ecological and evolutionary dynamics, offering a more accurate representation of natural systems.
• This framework is suitable for studying competitive speciation and the interplay between organisms and their environment.