Diewert's "superlative" index numbers, defined to be exact for second order aggregator functions, unify index number theory with aggregation theory, but have been difficult to identify. We present a new approach to finding elements of this class. This new approach, related to that advocated by...

Euler equation models represent an important class of macroeconomic systems. Our research on the Leeper and Sims Euler equations macroeconomic model reveals the existence of singularity-induced bifurcations, when the model's parameters are within a confidence region about the parameter...

This is the front matter from the book, William A. Barnett and Apostolos Serletis (eds.), The Theory of Monetary Aggregation, published in 2000 by Elsevier in its Contributions to Economic Anaysis mongraph series. The front matter includes the Table of Contents and the Introduction by Barnett...

This paper was produced for the El-Naschie Symposium on Nonlinear Dynamics in Shanghai in December 2005. In this paper we provide a review of the literature with respect to fluctuations in real systems and chaos. In doing so, we contrast the order and organization hypothesis of real systems with...

This paper explores the conceptual links between Joseph Schumpeter’s theory of instability under capitalism and both theoretical and empirical research that has been done over the past fifteen years in nonlinear dynamics. Recent work related to chaos and bifurcation theory is shown to be...

This entry on monetary aggregation will appear under that title in The New Palgrave Dictionary of Economics, 2nd edition, edited by Steven Durlauf and Lawrence Blume. The entry provides an up-to-date overview of state-of-the-art research on monetary aggregation and index number theory, from its...

We design a procedure for measuring 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. We permit non-martingale expectations and time varying discount rates. Based on...

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...

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. We permit non-martingale expectations and time varying discount rates. Based on Barnett’s (1991) definition...

This paper is a comment on Serletis and Shintani, 'Chaotic Monetary Dynamics with Confidence,' which is to appear in a special issue of the Journal of Macroeconomics on chaos in economics. The Editor of the special issue invited comments from discussants of all papers in the special issue, with...