The Condorcet efficiency of a social choice procedure is usually defined as the probability that this procedure coincides with the majority winner (or majority ordering) in random samples, given a majority winner exists (or given the majority ordering is transitive). Consequently, it is in effect a conditional probability that two sample statistics coincide, given certain side conditions. We raise a different issue of Condorcet efficiencies: What is the probability that a social choice procedure applied to a sample matches with the (...) majority preferences of the population from which the sample was drawn? We investigate the canonical case where the sample statistic is itself also majority rule and the samples are drawn from real world distributions gathered from national election surveys in Germany, France, and the United States. We relate the results to the existing literature on majority cycles and social homogeneity. We find that these samples rarely display majority cycles, whereas the probability that a sample misrepresents the majority preferences of the underlying population varies dramatically and always exceeds the probability that the sample displays cyclic majority preferences. Social homogeneity plays a fundamental role in the type of Condorcet efficiency investigated here. (shrink)

Originally published in in 1893, this book contains the text of the Socratic dialogue Protagoras, which discusses a variety of Sophistic and Socratic tenets, including the teachability of virtue. The dialogue also provides an interesting view on the connection between pederasty and education in ancient Athens. Notable Plato scholars James and Adele Adams present an introduction addressing the purpose and themes of the dialogue; a biography of Protagoras and extant fragments of his works are also included. This book will be (...) of value to anyone with an interest in the Platonic, Socratic or Sophistic philosophies. (shrink)