Determinacy, transversality and Lagrange stability

Stability and Transversality

When Does Determinacy Imply Expectational Stability?

We study the connections between determinacy of rational expectations equilibrium, and expectational stability or learnability of that equilibrium, in a relatively general New Keynesian model. Adoption of policies that induce both determinacy and learnability of equilibrium has been considered fundamental to successful policy in the literature. We ask what types of economic assumptions drive di...

Determinacy and determinacy analysis

One attractive, unique feature of logic programming languages is their ability to succinctly and declaratively express search. The alternatives of a search can be speci ed by a set of clauses de ning the same predicate. By backtracking, considering in turn each of these clauses, the di erent alternatives are explored until a solution (if it exists) is found. However, though backtracking is esse...

Determinacy and Stability under Learning of Rational Expectations Equilibria

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The numerical stability of barycentric Lagrange interpolation

The Lagrange representation of the interpolating polynomial can be rewritten in two more computationally attractive forms: a modified Lagrange form and a barycentric form. We give an error analysis of the evaluation of the interpolating polynomial using these two forms. The modified Lagrange formula is shown to be backward stable. The barycentric formula has a less favourable error analysis, bu...