Why is the bourgeois strategy stable in John Maynard Smith’s model?
The normal-form table illustrates the concept of a saddlepoint, or entry, in a payoff matrix at which the expected gain of each participant (row or column) has the highest guaranteed payoff.
In John Maynard Smith’s model, the bourgeois strategy is considered stable because it functions as an evolutionarily stable strategy that cannot be successfully invaded by either "hawk" or "dove" populations.1
The stability of the bourgeois strategy arises from its reliance on external cues, such as territory, to resolve conflicts. By acting as a hawk when in its own territory and as a dove when elsewhere, the bourgeois individual avoids the high costs of prolonged, mutually destructive struggles.1
Key factors in its stability include:
* Resistance to Invasion: A population consisting entirely of bourgeois individuals cannot be invaded by hawks or doves because the bourgeois strategy yields a higher payoff (5 offspring) when confronting another bourgeois than hawks or doves receive when confronting a bourgeois.1
* Avoidance of Conflict: Unlike pure hawk populations, which suffer high casualty rates, or pure dove populations, which are vulnerable to hawk exploitation, the bourgeois strategy effectively submits conflicts to external arbitration.1
* Adaptability: The strategy allows individuals to adjust their behavior based on context, minimizing the risk of injury while maximizing reproductive success.1