Optimal universal and categorical benefits with classification errors and imperfect enforcement

We determine the optimal combination of a universal benefit, B, and categorical benefit, C, for an economy in which individuals differ in both their ability to work – modelled as an exogenous zero quantity constraint on labour supply – and, conditional on being able to work, their productivity at work. C is targeted at those unable to work, and is conditioned in two dimensions: ex-ante an individual must be unable to work to be awarded the benefit , whilst ex-post a recipient must not subsequently work. However, the ex-ante conditionality may be imperfectly enforced due to Type I(false rejection) and Type II (false award) classification errors, whilst, in addition, the ex post conditionality may be imperfectly enforced. If there are no classification errors – and thus no enforcement issues – it is always optimal to set C>0, whilst B=0 only if the benefit budget is sufficiently small. However, when classification errors occur, B=0 only if there are no Type I errors and the benefit budget is sufficiently small, while the conditions under which C>0 depend on the enforcement of the ex-post conditionality. We consider two discrete alternatives. Under No Enforcement C>0 only if the test administering C has some discriminatory power. In addition, social welfare is decreasing in the propensity to make each type of error. However, under Full Enforcement C>0 for all levels of discriminatory power, including that of no discriminatory power. Furthermore, whilst social welfare is decreasing in the propensity to make Type I errors, there are certain conditions under which it is increasing in the propensity to make Type II errors. This implies that there may be conditions under which it would be welfare enhancing to lower the chosen eligibility threshold – supporting the suggestion by Goodin (1985) to “err on the side of kindness”.Postprin

Monetary policy and potential output uncertainty: a quantitative assessment

I estimate a dynamic stochastic general equilibrium model where the policymaker and the private sector have imperfect knowledge about potential output. The estimation of the structural parameters and of the monetary authorities’objectives is key to assess the quantitative relevance of the imperfect information problem and to evaluate the robustness of previous exercises based on calibration. The estimated model also allows me to revisit the Orphanides (2001, 2003) findings that the central bank can makes large and persistent mistakes to estimate potential output in response to productivity and cost shocks. I find that when real unit labor cost is used as a monetary policy indicator, the potential output uncertainty has quantitatively negligible consequences on policy behaviour and inflation dynamics. JEL Classification: E4, E5indicator variables, monetary policy, potential output uncertainty, real unit labor cost

Monetary policy and inflationary shocks under imperfect credibility

This paper quantifies the deterioration of achievable tabilization outcomes when monetary policy operates under imperfect credibility and weak anchoring of long-term expectations. Within a medium-scale DSGE model, we introduce through a simple signal extraction problem, an imperfect knowledge configuration where rice and wage setters wrongly doubt about the determination of the central bank to leave unchanged its long-term inflation objective in the face of inflationary shocks. The magnitude of private sector learning has been calibrated to match the volatility of US inflation expectations at long horizons. Given such illustrative calibrations, we find that the costs of aintaining a given inflation volatility under weak credibility could amount to 0.25 pp of output gap standard deviation. JEL Classification: E4, E5, F4Imperfect credibility, monetary policy, Signal extraction

Sensitivity to noise and ergodicity of an assembly line of cellular automata that classifies density

We investigate the sensitivity of the composite cellular automaton of H. Fuk\'{s} [Phys. Rev. E 55, R2081 (1997)] to noise and assess the density classification performance of the resulting probabilistic cellular automaton (PCA) numerically. We conclude that the composite PCA performs the density classification task reliably only up to very small levels of noise. In particular, it cannot outperform the noisy Gacs-Kurdyumov-Levin automaton, an imperfect classifier, for any level of noise. While the original composite CA is nonergodic, analyses of relaxation times indicate that its noisy version is an ergodic automaton, with the relaxation times decaying algebraically over an extended range of parameters with an exponent very close (possibly equal) to the mean-field value.Comment: Typeset in REVTeX 4.1, 5 pages, 5 figures, 2 tables, 1 appendix. Version v2 corresponds to the published version of the manuscrip

Calvo pricing and imperfect common knowledge: a forward looking model of rational inflation inertia

In this paper we derive a Phillips curve with a role for higher order expectations of marginal cost and future inflation. We introduce a small idiosyncratic component in firms’ marginal costs and let the economywide average marginal cost be unobservable to the individual firm. The model can then replicate the backward looking component found in estimates of the ’Hybrid’ New Keynesian Phillips Curve, even though the pricing decision of the firm is entirely forward looking. The Phillips curve derived here nests the standard New Keynesian Phillips Curve as a special case. We take a structural approach to imperfect common knowledge that allow us to infer whether the assumed information imperfections necessary to replicate the data are quantitatively realistic or not. We also provide an algorithm for solving a class of models involving dynamic higher order expectations of endogenous variables. JEL Classification: E00, E31, E32Calvo pricing, Higher order expectations, Imperfect Common Knowledge, New-Keynesian Phillips Curve

A Blotto Game with Incomplete Information

We consider a Blotto Game with Incomplete Information. A pure-strategy symmetric monotonic Bayesian equilibrium is found and its properties are discussed. Key words: Blotto Game, Imperfect Information. Journal of Economic Literature Classification: C72, D72.

Endogenous Persistence in an Estimated DSGE Model under Imperfect Information

We provide a tool for estimating DSGE models by BayesianMaximum-likelihood methods under very general information assumptions. This framework is applied to a New Keynesian model where we compare the standard approach, that assumes an informational asymmetry between private agents and the econometrician, with an assumption of informational symmetry. For the former, private agents observe all state variables including shocks, whereas the econometrician uses only data for output, inflation and interest rates. For the latter both agents have the same imperfect information set and this corresponds to what we term the 'informational consistency principle'. We first assume rational expectations and then generalize the model to allow some households and firms to form expectations adaptively. We find that in terms of model posterior probabilities, impulse responses, second moments and autocorrelations, the assumption of informational symmetry by rational agents significantly improves the model fit. We also find qualified empirical support for the heterogenous expectations model. JEL Classification: C11, C52, E12, E32.Imperfect Information, DSGE Model, Rational versus Adaptive Expectations, Bayesian Estimation

Inflation and output volatility under asymmetric incomplete information

The assumption of asymmetric and incomplete information in a standard New Keynesian model creates strong incentives for monetary policy transparency. We assume that the central bank has better information about its objectives than the private sector, and that the private sector has better information about shocks than the central bank. Transparency has the potential to trigger a virtuous circle in which all agents find it easier to make inferences and the economy is better stabilised. Our analysis improves upon existing work by endogenising the volatility of both output and inflation. Improved transparency most likely manifests itself in falling output volatility. JEL Classification: E32, E37, E52Asymmetric information, Imperfect credibility, Signal extraction