Summary. We prove existence of a competitive equilibrium in a version of a Ramsey (one sector) model in which agents are heterogeneous
and gross investment is constrained to be non negative. 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. This method allows us to obtain detailed results concerning the properties of competitive equilibria. Because
of the simplicity of the techniques utilized our approach is amenable to be adapted by practitioners in analogous problems
often studied in macroeconomics.
Received: September 13, 2001; revised version: December 9, 2002
RID="*"
ID="*" We are grateful to Tapan Mitra for pointing out errors as well as making very valuable suggestions. Thanks are due
to Raouf Boucekkine and Jorge Duran for additional helpful discussions. We also thank an anonymous referee for his/her helpful
comments. The second author acknowledges the financial support of the Belgian Ministry of Scientific Research (Grant ARC 99/04-235
“Growth and incentive design”) and of the Belgian Federal Goverment (Grant PAI P5/10, “Equilibrium theory and optimization
for public policy and industry regulation”).
Correspondence to: C. Le Van 相似文献
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