Leontief Utilities

Leontief Utility Function, first conceptualized by Wassily Leontief, are of the form

$u(x_1,\ldots,x_C)=\min\left\{\frac{x_1}{a_1},\ldots,\frac{x_C}{a_C}\right\}$ .

Solving for Walrasian/Marshallian Demand

Solving for Walrasian/Marshallian demand is a simple affair with utility functions representing Leontief preferences. One need only set equal the terms of the min function and solve then w.r.t the income constraint [Income = (p1)*(x1)+ ... + (pn)(xn)]