One of the key identifying assumptions for regression discontinuity (RD) designs is the local independence assumption (LIA). This paper shows that LIA puts a restriction on treatment effect heterogeneity and hence may not hold in many empirical applications. This paper then shows that LATE in both sharp and fuzzy designs can be identified under alternative smoothness conditions, and that the re...

In general, the result of the elimination of weakly dominated strategies depends on order. We define nice weak dominance. Under nice weak dominance, order does not matter. We identify an important class of games under which nice weak dominance and weak dominance are equivalent, and so the order under weak dominance does not matter. For all games, the result of iterative nice weak dominance is a...

In Marx and Swinkels (1997), we identify a condition on a normal form game, transference of decisionmaker indifference (TDI), under which the order of elimination by weak dominance does not matter. That is, regardless of the order in which weakly dominated strategies are removed, any two full reductions—games in which no further removals are possible—are the same up to the addition or removal o...

Although contextual weak independence (CWI) has shown promise in leading to more efficient probabilistic inference, no investigation has examined how CWIs can be obtained. In this paper, we suggest and analyze two methods for obtaining this kind of independence.

in this paper we define ?-independent (a weak-version of independence), kronecker and dissociate sets on hypergroups and study their properties and relationships among them and some other thin sets such as independent and sidon sets. these sets have the lacunarity or thinness property and are very useful indeed. for example varopoulos used the kronecker sets to prove the malliavin theorem. in t...

Peter P. Wakker has forcefully shown the importance for decision theory of a condition that he called “Cardinal Coordinate Independence”. Indeed, when the outcome space is rich, he proved that, for continuous weak orders, this condition fully characterizes the Subjective Expected Utility model with a finite number of states. He has furthermore explored in depth how this condition can be weakene...

Peter P. Wakker has forcefully shown the importance for decision theory of a condition that he called “Cardinal Coordinate Independence”. Indeed, when the outcome space is rich, he proved that, for continuous weak orders, this condition fully characterizes the Subjective Expected Utility model with a finite number of states. He has furthermore explored in depth how this condition can be weakene...