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EXISTENCE OF COMPETITIVE EQUILIBRIUM IN AN OPTIMAL GROWTH MODEL WITH HETEROGENEOUS AGENTS AND ENDOGENOUS LEISURE
Author(s) -
Aditya Goenka,
Cuong Le Van,
ManhHung Nguyen
Publication year - 2012
Publication title -
macroeconomic dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 46
eISSN - 1469-8056
pISSN - 1365-1005
DOI - 10.1017/s1365100511000587
Subject(s) - economics , competitive equilibrium , mathematical economics , lagrange multiplier , asset (computer security) , boundary (topology) , sequence (biology) , representation (politics) , fixed point , endogenous growth theory , mathematics , microeconomics , mathematical optimization , computer science , market economy , human capital , mathematical analysis , biology , politics , political science , law , genetics , computer security
This paper proves the existence of competitive equilibrium in a single-sector dynamic economy with heterogeneous agents, elastic labor supply, and complete asset markets. The method of proof relies on some recent results concerning the existence of Lagrange multipliers in infinite-dimensional spaces and their representation as a summable sequence and a direct application of the inward-boundary fixed point theorem.

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