Multivariable Utility Functions
نویسندگان
چکیده
Utility functions of several variables are ubiquitous in economics. Their maximization requires inversion of the gradient map. Using convex analysis tools, we provide a representation of an extension of this inverse that accounts for possible constraints. To solve economic equilibrium problems, the utility functions of the agents are frequently aggregated into a representative (agent’s) utility function. We establish regularity and inversion properties of such representative utility functions.
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ورودعنوان ژورنال:
- SIAM Journal on Optimization
دوره 19 شماره
صفحات -
تاریخ انتشار 2008