The paradox of grading systems

We distinguish between (i) voting systems in which voters can rank candidates and (ii) those in which they can grade candidates, using two or more grades. In approval voting, voters can assign two grades only—approve (1) or not approve (0)—to candidates. While two grades rule out a discrepancy between the average-grade winners, who receive the highest average grade, and the superior-grade winners, who receive more superior grades in pairwise comparisons (akin to Condorcet winners), more than two grades allow it. We call this discrepancy between the two kinds of winners the paradox of grading systems, which we illustrate with several examples and whose probability we estimate for sincere and strategic voters through a Monte Carlo simulation. We discuss the tradeoff between (i) allowing more than two grades, but risking the paradox, and (ii) precluding the paradox, but restricting voters to two grades.     

The Relationship Between School Engagement and Delinquency in Late Childhood and Early Adolescence

Engagement in school is crucial for academic success and school completion. Surprisingly little research has focused on the relationship between student engagement and delinquency. This study examines whether engagement predicts subsequent school and general misconduct among 4,890 inner-city Chicago elementary school students (mean age: 11 years and 4 months; 43.3% boys; 66.5% black; 28.8% Latino). To improve upon prior research in this area, we distinguish three types of engagement (emotional, behavioral, and cognitive), examine whether the relationship between engagement and misconduct is bidirectional (misconduct also impairs engagement), and control for possible common causes of low engagement and misconduct, including peer and family relationships and relatively stable indicators of risk-proneness. Emotional and behavioral engagement predict decreases in school and general delinquency. However, cognitive engagement is associated with increases in these outcomes. School and general delinquency predict decreased engagement only in the cognitive domain. Suggestions for future research and implications for policy are discussed.     

Appeal rate and caseload: evidence from civil litigation in Korea

Courts of modern democratic societies have generally implemented appeal procedures to correct potential errors in ruling. However, considering the time and effort that both litigants spend, availability of an appeal cannot be better than reaching the correct judgment in the original case. This difficulty raises the policy issue of how to reduce the rate of appeals and improve welfare of litigants. In this paper, we assert that lower caseloads allow judges to expend more time and effort on each case, contributing to lower appeal rates. Analysis of court-level data from Korea corroborates our inference.