This article develops a complete system of ordinary differential equations for tracking the eigenvalues and the right and left eigenvectors of nonsymmetric parameterized matrices over parameter intervals. A simpler reduced form of the ODE system is then derived for tracking the eigenvalues and...

In Kalaba, Tesfatsion, and Wang (JMAA,1983) an algorithm was developed for the exact forward-mode automatic evaluation of higher-order partial derivatives of functions of many variables using derivative arrays. This algorithm was supported by a library of "calculus subroutines" for many standard...

This essay is an invited comment on Philip Mirowski's essay titled "Markets Come to Bits: Evolution, Computation, and Markomata in Economic Science," also to appear in JEBO. In his usual brilliant and provocative style, Mirowski argues for a constructive approach to economic modeling centered on...

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A method is proposed for the sequential updating of criterion functions on the basis of past reward observations in analogy to Bayes' rule for the updating of probability distribution functions. 

Using the Lefschetz fixed point theorem, a pure strategy Nash equilibrium existence theorem is established for a class of n-person games with possibly nonacyclic strategy sets. It is argued that the Lefschetz approach to fixed point theorems may ultimately prove to be particularly important in...

abstracted in Zentralblatt fur Mathematik, August 1985, p. 410 This article presents a generalization of the standard N-person game with flexible information requirements suitable for players constrained by certain types of bounded rationality. In particular, strategies (complete contingency...

In Kalaba, Tesfatsion, and Wang (JMAA,1983) the FEED algorithm was introduced for the exact forward-mode automatic evaluation of higher-order partial derivatives of functions of many variables using derivative arrays. This study demonstrates that FEED can be applied to a much broader class of...

This article develops a complete system of ordinary differential equations for tracking solution branches x(b) of a parameterized system of nonlinear equations F(x,b) = 0 along arbitrary user-designated paths for the parameter vector b. The complete system is obtained by augmenting the usual...

Agent-based computational economics (ACE) is the computational study of economies modeled as dynamic systems of interacting agents. Thus, ACE is a specialization to economics of the basic complex adaptive systems paradigm. This paper outlines the main objectives and defining characteristics of...