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the intersection is an interval. A quasiconcave function is the negative of a quasiconvex function. In a quasiconcave function, for any real number y, the...

of a quasiconcave function is also quasiconcave. For example, if f : R n → R {\displaystyle f:\mathbb {R} ^{n}\to \mathbb {R} } is quasiconcave and g...

( y ) ) {\displaystyle (y,f(y))} . A function f {\displaystyle f} is quasiconcave if the upper contour sets of the function S ( a ) = { x : f ( x ) ≥ a...

Prentice-Hall – via DTIC. Behringer, F. A. (1977-06-01). "Lexicographic quasiconcave multiobjective programming". Zeitschrift für Operations Research. 21...

refer to: Quasilinear function, a function that is both quasiconvex and quasiconcave Quasilinear utility, an economic utility function linear in one argument...

differentiable with nonsingular Jacobian matrix. Quasiconvex functions and quasiconcave functions extend the concept of unimodality to functions whose arguments...

semi-continuous. If in addition to the conditions above, f {\displaystyle f} is quasiconcave in x {\displaystyle x} for each θ {\displaystyle \theta } and C {\displaystyle...

prevent cycles, so long as the distribution of voters is well-behaved (quasiconcave). These results provide some justification for the common requirement...

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q({\boldsymbol {x}})=f({\boldsymbol {x}})/g({\boldsymbol {x}})} is semistrictly quasiconcave on S. If f and g are differentiable, then q is pseudoconcave. In a linear...

strategy Nash equilibrium regardless of whether payoff functions are quasiconcave and/or strategy sets are convex. The existence proof of Novshek for a...

{\displaystyle f(\cdot ;s)} is a continuously differentiable, strictly quasiconcave function of x {\displaystyle x} . If x ¯ ( s ) {\displaystyle {\bar {x}}(s)}...

Characterizations of the Existence of Equilibria in Games with Discontinuous and Non-quasiconcave Payoffs. Review of Economic Studies, 60(4), 935–948. Tian, G. (1993)...

transformation. The objective function in a linear-fractional problem is both quasiconcave and quasiconvex (hence quasilinear) with a monotone property, pseudoconvexity...

Strong, if u y {\displaystyle u_{y}} is quasiconcave No Substitutes, if u y {\displaystyle u_{y}} is quasiconcave Money ( x {\displaystyle x} ) and another...

statement: if f is a quasiconvex function of x for any fixed y, and a quasiconcave function of y for any fixed x, and the constraint set is a convex compact...