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Group formation games with reappraisal.

K Walters¹, P G Blackwell

¹Department of Probability and Statistics, School of Mathematics and Statistics, University of Sheffield, Sheffield, S3 7RH, U.K. mdp99kw@sheffield.ac.uk

Journal of Theoretical Biology

|August 31, 2002

Summary

Social group formation relies on individual decisions to stay or disperse, modeled using evolutionary game theory. Allowing strategy reappraisal refines predictions on group size and parent-offspring conflict.

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Area of Science:

Evolutionary biology
Game theory
Behavioral ecology

Background:

Social group formation depends on individual decisions to stay or disperse.
Previous models used the War of Attrition game theory framework (Blackwell, 1997).

Purpose of the Study:

Extend existing game theory models by incorporating strategy reappraisal.
Analyze the evolutionarily stable strategy (ESS) in this extended model.
Investigate factors influencing group size and parent-offspring conflict.

Main Methods:

Formal analysis of evolutionary game theory models.
Extension of the War of Attrition game with reappraisal strategies.
Application to a case study of badger (Meles meles) territoriality.

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Main Results:

Identified conditions for an evolutionarily stable strategy (ESS) with reappraisal.
Demonstrated that group size is sensitive to game conditions.
Highlighted potential for parent-offspring conflict in social group formation.

Conclusions:

The extended game theory model provides a more nuanced understanding of social group dynamics.
Group size is finely tuned to environmental and social conditions.
Parent-offspring interactions can be a significant factor in group stability.