Extreme Points and Majorization: Economic Applications
Extreme Points and Majorization: Economic Applications
复制标题
极值点和多数化：经济应用
作者：
Andreas Kleiner;B. Moldovanu;P. Strack
我们刻画了单调函数的极值点集，这些极值点集要么被给定函数优化，
或自己占优势
f和表明这些极值点在许多经济设计问题中起着至关重要的作用。我们的主要结果表明，每个极值点是唯一的特点是可数的区间集合。在这些区间之外，极值点等于原始函数
f和函数内部是常数。需要满足进一步的一致性条件，以确定每个区间中极值点的值，其中极值点为常数。我们将这些见解应用于一组不同的经济问题：拍卖和（匹配）竞赛，贝叶斯说服，最佳代表团和决策下的不确定性的机制的等价性和最优性。
We characterize the set of extreme points of monotonic functions that are either majorized by a given function
f or themselves majorize
f and show that these extreme points play a crucial role in many economic design problems. Our main results show that each extreme point is uniquely characterized by a countable collection of intervals. Outside these intervals the extreme point equals the original function
f and inside the function is constant. Further consistency conditions need to be satisfied pinning down the value of an extreme point in each interval where it is constant. We apply these insights to a varied set of economic problems: equivalence and optimality of mechanisms for auctions and (matching) contests, Bayesian persuasion, optimal delegation, and decision making under uncertainty.
DOI：
10.2139/ssrn.2913916
发表时间：
2016-11
期刊：
ERN: Search
影响因子：
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作者：
A. Kolotilin;Tymofiy Mylovanov;Andriy Zapechelnyuk;Ming Li
通讯作者：
A. Kolotilin;Tymofiy Mylovanov;Andriy Zapechelnyuk;Ming Li
DOI：
10.1111/j.1467-937x.2008.00517.x
发表时间：
2005-12
期刊：
Macroeconomics eJournal
影响因子：
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作者：
Heidrun C. Hoppe-Wewetzer;B. Moldovanu;A. Sela
通讯作者：
Heidrun C. Hoppe-Wewetzer;B. Moldovanu;A. Sela