Comparative Statics, Informativeness, and the Interval Dominance Order
提出一种比单交性质更弱的函数排序方法(区间优势序),并基于此发展单调比较静态理论,适用于最优停止问题等场景,同时推广了统计决策理论中的完全类定理和信息性概念。
Abstract: We identify a natural way of ordering functions, which we call the interval dominance order and develop a theory of monotone comparative statics based on this order. This way of ordering functions is weaker than the standard one based on the single crossing property (Milgrom and Shannon, 1994) and so our results apply in some settings where the single crossing property does not hold. For example, they are useful when examining the comparative statics of optimal stopping time problems. We also show that certain basic results in statistical decision theory which are important in economics- specifically, the complete class theorem of Karlin and Rubin (1956) and the results connected with Lehmann’s (1988) concept of informativeness- generalize to payoff functions obeying the interval dominance order.