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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom