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Recruiters and Joiners: Using Optimal Skew Theory to Predict Group Size and the Division of Resources within Groups of Social Foragers

I apply skew theory to the division of resources within multimember social foraging and antipredator groups. Resource division is modeled as a game between an individual controlling resources (recruiter) and a potential joiner to the group. If a recruiter benefits from the presence of a joiner, it will allocate sufficient resources to the joiner so that the joiner gains as much from group foraging as it would from foraging alone. Joiners should receive a greater proportion of resources controlled by the recruiter when benefits to grouping are low. If group success is a concave‐down function of group size, this framework can be used to predict the stable group size. The stable group size is larger than the optimal group size, given equal division of resources, and smaller than the stable group size, given equal division of resources. Furthermore, both current group members and potential joiners agree on the stable group size, so long as the recruiter is able to control resource division. If the recruiter cannot control resource division, there may be conflict over group size and the opportunity for group members to contribute less to group success than they are able.