For other given parameters ([alpha], [beta], [lambda], p), the function ~R ([chi]) is a concave function
with respect to l.
2] [right arrow] R be a concave function
in the variables (y, s), that is, [f.
The U-shaped parabola is obtained not only when the measure of talent used is a concave function
(Figures 7 and 8), but also, perhaps, when the function is convex, especially in the case of extremely unbalanced leagues (Figures 5 and 6).
Traditionally, in operations research literatures, the customer's demand is assumed to be decreasing concave function
or simply a decreasing linear function with the price as an input variable.
The first two conditions ensure that the probability density function will map a concave function
onto another concave function
F(d) is a convex function then H(d') is a concave function
phi] is said to be a schur concave function
on [OMEGA] if and only if -[phi] is schur convex.
Let us also pay attention to the fact that each concave function
such that [phi](0) = 0 is subadditive.
b] (*, M, N) is a concave function
, whose maximum is attained when ([partial derivative]/[partial derivative]Q)E[[[PI].
Let u: I [right arrow] R be a twice continuously differentiable strictly increasing concave function
with decreasing absolute risk aversion defined in an open interval I.
2, that if f is an increasing convex or concave function
on [a, b] , then
An example of a concave function
is the logarithmic function: