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Time-dependent animal conflicts: 1. The symmetric case.

Osnat Yaniv¹, Uzi Motro

¹Department of Statistics and Center for the Study of Rationality, The Hebrew University of Jerusalem, Jerusalem 91905, Israel. msosnaty@mscc.huji.ac.il

Journal of Theoretical Biology

|November 9, 2004

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Animal group conflicts involve risks and assistance. Observing helper strategies ensures stable outcomes like immediate or no help, while unobserved strategies may lack stability for delayed help.

Area of Science:

Behavioral Ecology
Evolutionary Game Theory
Population Dynamics

Background:

Animal conflicts often involve time-dependent strategies, particularly when group members require assistance.
Individuals at risk face a time-dependent mortality rate until help is received.
Potential helpers incur costs for assisting but face reduced inclusive fitness if the at-risk individual dies.

Purpose of the Study:

To model animal conflicts where one member's survival depends on timely assistance from others.
To investigate how the observability of helper strategies influences the evolutionarily stable strategies (ESS).
To apply the model to classic problems like the 'n brothers' problem and parental investment conflicts.

Main Methods:

Developed a game-theoretic model analyzing time-dependent strategy sets in animal conflicts.

Related Experiment Videos

Assumed potential helpers choose probability distributions for their assistance timing.

Analyzed the impact of strategy realization observability on the existence and nature of ESS.

Main Results:

When strategy realizations are observable, ESS always exist, including immediate assistance, no assistance, and delayed assistance.
When strategy realizations are unobservable, ESS do not always exist; immediate assistance and no assistance are possible ESS.
Delayed assistance is not a stable ESS when helper actions are unobservable.

Conclusions:

Observability of actions is crucial for the stability of cooperative strategies in animal conflicts.
The model provides insights into the evolution of helping behaviors and strategic interactions within animal groups.
Findings have implications for understanding kin selection and conflict resolution in social animals.