Opportunity costs resulting from scramble competition within the choosy sex severely impair mate choosiness
Section snippets
The model
Our goal was to assess the ESS in a self-consistent game-theoretic model (Houston and McNamara, 2002, Kokko and Wong, 2007, McNamara, 2013). While most previous studies have assumed a constant distribution of partner quality, we modelled the effect of scramble competition not as a constant cost, but as an emerging property of the other females' strategies. We assumed a simple situation in which females search for sedentary males. The intensity of competition arises directly from the sex ratio.
Results
The sex ratio had a similar effect on the ESS for both the threshold (Fig. 2a) and best-of-n (Fig. 2b) decision rules. When there were fewer males than females, neither of the strategies could outperform random choice. For the best-of-n decision rule, the ESS was best-of-1, i.e. to always accept the first encountered male, which is identical to random choice strategy (Fig. 2b). The calculation of the ESS for the threshold decision rule led to analogous conclusions. The strategies converged to
Discussion
Opportunity costs arising from scramble competition represent a sufficiently strong constraint to severely reduce and, in many cases, almost suppress female choosiness. Importantly, this result holds even when there are more available males (chosen sex) than females (choosy limited sex). More generally, non-negligible opportunity costs are a crucial component of decision making under scramble competition, and they should be observed in all contests for possession, consumption or use of any
Acknowledgments
We thank John McNamara, Tim Fawcett, François Rousset, Alexandre Courtiol, Matthias Galipaud and two anonymous referees for helpful comments about the model or manuscript. Financial support was provided by the Agence Nationale pour la Recherche (program Monogamix ANR-08-BLAN-0214-02) and the Institut Universitaire de France. Calculations were performed using HPC resources from DSI-CCUB (Université de Bourgogne).
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