This paper derives a universal approximation result for theminimum fuzzy implication rule as well as a differentiable substitute function that allows fast optimization and function approximation with neuro-fuzzy networks.

In this paper, we consider an investor who plays in a market that involves a risky asset whose instantaneous rate of return changes at unknown random times. This return rate is assumed to follow the law of a Compound Poisson Process. We construct optimal mathematical strategies in this context...

In this paper we discuss the implementation of general one-factor short rate models with a trinomial tree. Taking the Hull-White model as a starting point, our contribution is threefold. First, we show how trees can be spanned using a set of general branching processes. Secondly, we improve...

This study uses an agent-based test bed (“AMES”)to investigate separation and volatility of locational marginalprices (LMPs) in an ISO-managed restructured wholesale powermarket operating over an AC transmission grid. Particular attentionis focused on the dynamic and cross-sectional response...

In April 2003 the U.S. Federal Energy Regulatory Commission proposed a complicated marketdesign – the Wholesale Power Market Platform (WPMP) – for common adoption byall U.S. wholesale power markets. Versions of the WPMP have been implemented in NewEngland, New York, the mid-Atlantic states,...

Taking location as given, we study imperfect competition on a circular city. In Bertrandoligopoly, we identify price harmonics as a function of firm unit costs and locations. The sumof oligopoly profits is larger when costs and/or locations are more dispersed in the ‘dihedralmajorization’...

Market concentration ratios are popular statistics for characterizing the extent of marketdominance in an imperfectly competitive market, but these ratios may not agree whencomparing two markets. Neither do they necessarily agree with the Herfindahl-Hirschman orentropy indices. This letter...

Our context involves Cournot oligopolists producing NM products at constant marginal costs when preferences are quasi-linear. We identify relationships between second moments of unit costs and second moments of firm-level production. For example, a larger variance in unit costs of a product...

Agent-based Computational Economics (ACE) is the computational study of economic processesmodeled as dynamic systems of interacting agents. This essay discusses the potentialuse of ACE modeling tools for the study of macroeconomic systems. Points are illustratedusing an ACE model of a two-sector...

When adjustment costs are present, cyclical preference and technology heterogeneities in aproduct’s markets induce cycles in production. We exploit cyclic and dihedral groupinvariances in an industry’s cost technology to describe these patterns. We show whenequilibrium cyclical pricing and...