Bergin and Lipman (1996) show that the refinement effect from the random mutations in the adaptive population dynamics in Kandori, Mailath and Rob (1993) and Young (1993) is due to restrictions on how these mutation rates vary across population states. We here model mutation rates as...

We build spaces of q.p. (quasi-periodic) functions and we establich some of their properties. They are motivated by the Perceival approach to q.p. solutions of Hamiltonian systems. The periodic solutions of an adequat Partial Differential Equation are related to the q.p. solutions of an Ordinar...

The well-known Meixner class (Meixner, 1934) of probabilities on R has been recently extended to R^d (Pommeret, 1996). This generalized Meixner class corresponds to the simple quadratic natural exponential families charaterized by Casalis (1996). Following Lancaster (1975), we offer a...

The Jordan Form of the VAR's Companion matrix is used for proving the equivalence between the statement that there are no jordan blocks of order two or higher in the Jordan matrix and the conditions of Granger's Representation Theorem for an I(1) series. Furthermore, a Diagonal polynomial matrix...

New results in the asymptotic theory of Markov processes are applied to analysis of the long-run behaviour exhibited by optimal growth models with unbounded productivity shock. The techniques developed here are geometrically intuitive, and are shown to imply global stability for a popular model...

The traditional textbook approach to avoiding the dummy trap problem is to delete a category from each qualitative variable. We illustrate an alternative constraint introduced by Sweeney and Ulveling (1972) which can be used to transform conventional dummy variable coefficients. This constraint...

I will sketch the history of the so-called turnpike theorems and describe some interesting recent developments regarding them. I will also discuss the attempt to apply the ideas of turnpike theorems in the literature of optimal capital accumulation to the theory of competitive equilibrium over...

In this paper a Superiority and Inferiority Ranking (SIR) method is proposed. This new method uses two types of information, the superiority and the inferiority information, to derive two types of flows, the superiority flow and the inferiority flow, by which the set of alternatives are ranked...

We examine here the quasi-transitivity axiom which is considered to be a minimal criterion which a rational preference should respect. We check for the consistency of this axiom with the well-known theory if choice function.

In the first part of this paper we prove that the global quadratic optimization problem over a simplex can be solved with a constant relative accuracy. In the second part we consider some natural extensions of the result.