This paper presents and compares Newton-based methods from the applied mathematics literature for solving the matrix quadratic that underlies the recursive solution of linear DSGE models. The methods are compared using nearly 100 different models from the Macroeconomic Model Data Base (MMB) and...

This paper presents and compares Bernoulli iterative approaches for solving linear DSGE models. The methods are compared using nearly 100 different models from the Macroeconomic Model Data Base (MMB) and different parameterizations of the monetary policy rule in the medium-scale New Keynesian...

This paper develops and implements a backward and forward error analysis of and condition numbers for the numerical stability of the solutions of linear dynamic stochastic general equilibrium (DSGE) models. Comparing seven different solution methods from the literature, I demonstrate an...

This paper applies structure preserving doubling methods to solve the matrix quadratic underlying the recursive solution of linear DSGE models. We present and compare two Structure-Preserving Doubling Algorithms (SDAs) to other competing methods - the QZ method, a Newton algorithm, and an...

The standard approach to solving linear DSGE models is to apply the QZ method. It is a one-shot algorithm that leaves the researcher with little alternative than to seek a different algorithm should the result be numerically unsatisfactory. We develop an iterative implementation of QZ that...

This paper shows that Keynes's involuntary unemployment derived from Walras's voluntary unemployment by means of changing of the characteristic of the aggregate supply curve (function) of labour. On the one hand, when the original aggregate supply function is a strongly increasing function, as...

In 1973 Sir John Hicks published CAPITAL AND TIME: A NEO-AUSTRIAN THEORY. This was his third book with the word "capital" in its title, the first being his classic VALUE AND CAPITAL [1939] and the second being CAPITAL AND GROWTH [1965]. It departed significantly from his earlier work by assuming...

The paper undertakes a detailed characterization of the local dynamic properties of three simple deterministic models involving expectations. The expectations are formed under an adaptive learning process. Allowing for different degrees of learning quality, the analysis reveals the existence of...