Probabilistic assignment of indivisible goods with single-peaked preferences

We consider the problem of assigning indivisible goods among a group of agents with lotteries when the preference profile is single-peaked. Unfortunately, even on this restricted domain of preferences, equal treatment of equals, stochastic dominance efficiency, and stochastic dominance strategy-proofness are incompatible.     

东渡扶桑的鉴真和上

佛教传至日本后的200年中,一直未出现拥有正式授戒资格的＂三师七证＂共十个僧人齐备的现象。当时的政府担心因逃避租税、课役而私自剃度的僧人增多,会动摇律令国家的基础,故欲确立和管理尼僧的制度。聘请授戒师僧,对于弘扬佛教和维护国家稳定来说,无疑是最好的妙方。为了推动日本佛教的兴隆,鉴真和上于天平十五年（743）十二月,与弟子们一同从大明寺出发,踏上了艰辛困苦的传法旅程。     

Approximate Marginal Posterior Distributions Using Asymptotic Modes

This article gives asymptotic expansions for marginal posterior distributions with asymptotic modes of order n ^?2, and shows their validity. In addition, by using the asymptotic expansion, an approximate central posterior credible interval is derived.     

Edgeworth Expansions for Semiparametric Averaged Derivatives

A valid Edgeworth expansion is established for the limit distribution of density‐weighted semiparametric averaged derivative estimates of single index models. The leading term that corrects the normal limit varies in magnitude, depending on the choice of bandwidth and kernel order. In general this term has order larger than the n^−1/2 that prevails in standard parametric problems, but we find circumstances in which it is O(n^−1/2), thereby extending the achievement of an n^−1/2 Berry‐Esseen bound in Robinson (1995a). A valid empirical Edgeworth expansion is also established. We also provide theoretical and empirical Edgeworth expansions for a studentized statistic, where some correction terms are different from those for the unstudentized case. We report a Monte Carlo study of finite sample performance.