L'Hopital's Rule in Chemistry: Irreversible Morphing into Reversible Isothermal Expansions

L'Hopital's Rule is discussed in the cvase of an irreversible isothermal expansion.

Lee O Case's "Elements of the Phase Rule", Chapter 2

The second chapter of the Case text on the phase rule, this time dealing with two component systems, added to by the author, is presented here.

Criminal Solicitation, Entrapment, and the Enforcement of Law

This paper examines the optimal use of criminal solicitation as a law enforcement strategy. The benefits are greater deterrence of crime (due to the greater likelihood of apprehension), and the savings in social harm as some offenders are diverted away from committing actual crimes through solicitation. The costs are the expense of hiring undercover cops and the greater likelihood of punishment. The optimal use of solicitation balances these factors. The paper also examines the justification for the entrapment defense, which exonerates those caught in a criminal solicitation but who otherwise had no predisposition to commit a crime.

Credible Criminal Enforcement

Economic models of crime and punishment implicitly assume that the government can credibly commit to the fines, sentences, and apprehension rates it has chosen. We study the government's problem when credibility is an issue. We find that several of the standard predictions of the economic model of crime and punishment are robust to commitment, but that credibility may in some cases result in lower apprehension rates, and hence a higher crime rate, compared to the static version of the model.

Does the Federal Reserve Follow a Non-Linear Taylor Rule?

The Taylor rule has become one of the most studied strategies for monetary policy. Yet, little is known whether the Federal Reserve follows a non-linear Taylor rule. This paper employs the smooth transition regression model and asks the question: does the Federal Reserve change its policy-rule according to the level of inflation and/or the output gap? I find that the Federal Reserve does follow a non-linear Taylor rule and, more importantly, that the Federal Reserve followed a non-linear Taylor rule during the golden era of monetary policy, 1985-2005, and a linear Taylor rule throughout the dark age of monetary policy, 1960-1979. Thus, good monetary policy is associated with a non-linear Taylor rule: once inflation approaches a certain threshold, the Federal Reserve adjusts its policy-rule and begins to respond more forcefully to inflation.

Lee O. Case's "Elements of the Phase Rule", Chapter 1, One component systems

One component systems are treated from the point of view of the Gibbs' phase rule.

Criminal Solicitation, Entrapment, and the Enforcement of Law

This paper examines the optimal use of criminal solicitation as a law enforcement strategy. The benefits are greater deterrence of crime (due to the greater likelihood of apprehension), and the savings in social harm and apprehension costs as some offenders are diverted away from committing actual crimes through solicitation. The costs are the expense of hiring undercover cops and the greater likelihood of punishment. The optimal use of solicitation balances these factors. The paper also examines the justification for, and impact of, the entrapment defense, which exonerates those caught in a solicitation but otherwise not predisposed to commit a crime.

Fair Housing Enforcement and Changes in Discrimination between 1989 and 2000: An Exploratory Study

Using paired testing data from the 1989 and 2000 Housing Discrimination Studies (HDS) and data on fair housing enforcement activities during the 1990s in the corresponding metro areas, we investigate whether 1989-2000 changes in the metropolitan incidence of racial/ethnic discrimination correlate with fair housing enforcement activity during the 1990s. We found that higher amounts of state and local enforcement activity supported by HUD through its FHIP and FHAP programs (especially the amount of dollars awarded by the courts) were consistently associated with greater declines in discrimination against black apartment-seekers and home-seekers. The evidence does not support similar conclusions for housing market discrimination against Hispanics where the level of enforcement is much lower.

Lee O Case's "Elements of the Phase Rule", Introduction and Explanation

This out of print 1939 manuscript, updated, is added to the literature with slight additions

Lee O Case's "Elements of the Phase Rule", Chapter 3

This is the last (third) chapter of the phase rule text, again altered by the author, addressing 3 and 4 compnent systems.