Criminal Justice, Sociology of
This article is a revision of the previous edition article by D. Szabo, volume 5, pp. 2954–2958, © 2001, Elsevier Ltd.
Plea Bargaining Outside the Shadow of Trial
Plea-bargaining literature predicts that parties strike plea bargains in the shadows of expected trial outcomes. In other words, parties forecast the expected sentence after trial, discount it by the probability of acquittal, and offer some proportional discount. This oversimplified model ignores how structural distortions skew bargaining outcomes, causing them to diverge from trial outcomes. Part I of this Article explores the various structural forces that warp plea bargains. Agency costs, attorney compensation and workloads, resources, sentencing and bail rules, and information deficits all skew bargaining. In addition, psychological biases and heuristics warp judgments. Part II applies recent research from behavioral law and economics and cognitive psychology to critique plea bargaining. Overconfidence, denial, discounting, risk preferences, loss aversion, framing, and anchoring all affect bargaining decisions. Skilled lawyers can partly counteract some of these problems, but they can also overcompensate. The oversimplified shadow-of-trial model of plea bargaining needs to be supplemented by a structural-psychological perspective. On this perspective, uncertainty, money, self-interest, and demographic variation greatly influence plea bargains. Part III explores how to respond to the various structural and psychological influences that warp plea bargains. Reforming systems of defense counsel, bail rules, and the structure of sentencing rules, and increasing use of mediators and judges in bargaining could ameliorate some of these influences. Other problems, such as demographic variations in psychology, are very difficult to correct. These influences cast light on how civil and criminal bargaining differ in important respects.
Inhomogeneous Boundary Value Problems for Compressible Navier-Stokes Equations: Well-Posedness and Sensitivity Analysis
In this paper compressible, stationary Navier–Stokes equations are considered. A framework for analysis of such equations is established. In particular, the well-posedness for inhomogeneous boundary value problems of elliptic-hyperbolic type is shown. Analysis is performed for small perturbations of the so-called approximate solutions that take form (1.12). The approximate solutions are determined from Stokes problem (1.11). The small perturbations are given by solutions to (1.13). The uniqueness of solutions for problem (1.13) is proved, and, in addition, the differentiability of solutions with respect to the coefficients of differential operators is shown. The results on the well-posedness of nonlinear problems are interesting on their own and are used to obtain the shape differentiability of the drag functional for incompressible Navier–Stokes equations. The shape gradient of the drag functional is derived in the classical and useful for computations form; an appropriate adjoint state is introduced to ...