An evolutionarily stable strategy (ESS) is an equilibrium strategy that is immune to invasions by rare alternative ("mutant") strategies. Unlike Nash equilibria, ESS do not always exist in finite games. In this paper, we address the question of what happens when the size of the game increases:...

We prove a difference equation analogue for the decay-of-mass result for the nonlinear parabolic equation ut = ?u + m |?u| when m < 0, and a new growth result when m > 0.

Let X1, ... , Xn be n random variables, with cumulative distribution functions F1, ... , Fn. Define [xi]i: = Fi(Xi) for all i, and let [xi](1) [less-than-or-equals, slant] ... [less-than-or-equals, slant] [xi](n) be the order statistics of the ([xi]i)i. Let [alpha]1 [less-than-or-equals, slant]...