Creator: Kehoe, Timothy Jerome, 1953-, Levine, David K., and Romer, Paul Michael, 1955- Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 400 Abstract:
We consider a production economy with a finite number of heterogeneous, infinitely lived consumers. We show that, if the economy is smooth enough, equilibria are locally unique for almost all endowments. We do so by converting the infinite dimensional fixed point problem stated in terms of prices and commodities into a finite dimensional Negishi problem involving individual weights in a social value function. By adding a set of artificial fixed factors to utility and production functions, we can write the equilibrium conditions equating spending and income for each consumer entirely in terms of time zero factor endowments and derivatives of the social value function.
Stichwort: Dynamic model, Equilibrium, and Consumer Fach: C62 - Existence and Stability Conditions of Equilibrium