As is well known in systems theory, the parameter space of most dynamic models is stratified into subsets, each of which supports a different kind of dynamic solution. Since we do not know the parameters with certainty, knowledge of the location of the bifurcation boundaries is of fundamental...

equation models represent an important class of macroeconomic systems. Our ongoing research (He and Barnett (2003)) on the Leeper and Sims (1994) Euler equations macroeconometric model is revealing the existence of singularity-induced bifurcations, when the model¡¯s parameters are within a...

We measure the United States capital stock of money implied by the Divisia monetary aggregate service flow, in a manner consistent with the present-value model of economic capital stock and asset pricing theory. The resulting measures differ substantially from the usual simple sum accounting...

We incorporate aggregation and index number theory into monetary models of exchange rate determination in a manner that is internally consistent with money market equilibrium. Divisia monetary aggregates and user-cost concepts are used for money supply and opportunity-cost variables in the...

The following highly-cited research monograph, although widely available in libraries, is now out of print: William A. Barnett, Consumer Demand and Labor Supply, North Holland, Amsterdam, 1981. In case you do not have access to the printed book, I have scanned it and put it online below. Since...

This short paper is the encyclopedia entry on Divisia Monetary Indexes to appear in the second edition of the International Encyclopedia of the Social Sciences. The encyclopedia is edited by William A. Darity and forthcoming from Macmillan Reference USA (Thomson Gale).

In aggregation theory, the admissibility condition for clustering together components to be aggregated is blockwise weak separability, which also is the condition needed to separate out sectors of the economy. Although weak separability is thereby of central importance in aggregation and index...

An independent institute for monetary statistics is needed in the United States, says William Barnett in paper to appear in the journal, Central Banking. Expanded Congressional audit would be a second best alternative, but would not fully address the needs and would carry risks.

We explore bifurcation phenomena in the open-economy New Keynesian model developed by Gali and Monacelli (2005). We find that the open economy framework brings about more complex dynamics, along with a wider variety of qualitative behaviors and policy responses. Introducing parameters related to...