Warasian Economic Equilibrium Problems in Convex Regions
Renying Zeng
TL;DR
This paper introduces a new framework for analyzing Walrasian economic equilibrium in convex regions, defining strict-proper quasimonotone functions and establishing conditions for equilibrium existence and uniqueness.
Contribution
It provides novel definitions and theoretical conditions for equilibrium existence and uniqueness in convex regions, advancing economic equilibrium theory.
Findings
Defined strict-proper quasimonotone functions.
Derived necessary and sufficient conditions for equilibrium.
Established criteria for uniqueness of equilibrium vectors.
Abstract
We define Walrasian economic equilibrium in convex regions. We introduce the definition of strict-proper quasimonotone functions, and derive some necessary and sufficient conditions for the existence and uniqueness of Walrasian equilibrium vectors in convex regions.
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Taxonomy
TopicsEconomic theories and models · Optimization and Variational Analysis · Stochastic processes and financial applications