We systematically study pairwise counter-monotonicity, an extremal notion of negative dependence. A stochastic representation and invariance property are established for this dependence structure. show that counter-monotonicity implies association, it is equivalent to joint mix if both possible the same marginal distributions. find intimate connection between risk sharing problems quantile agen...

The Boston mechanism is a popular student placement mechanism in school choice programs around the world. We provide two characterizations of the Boston mechanisms. We introduce two new axioms, respect of preference rankings and rank-respecting Maskin monotonicity. A mechanism is the Boston mechanism for some priority if and only if it respects preference rankings and satisfies consistency, res...

In the literature various notions of (non-) monotonicity of restarting automata have been studied. Here we introduce two new variants of (non-) monotonicity for restarting automata and for two-way restarting automata: left (non-) monotonicity and right-left (non-) monotonicity. It is shown that for the various types of deterministic and nondeterministic (two-way) restarting automata without aux...

Abstract We prove monotonicity of a parabolic frequency on static and evolving manifolds without any curvature or other assumptions. These are analogs Almgren’s function. When the manifold is Euclidean space drift operator Ornstein–Uhlenbeck operator, this can been seen to imply Poon’s for ordinary heat equation. self-similarly by Ricci flow, we solutions For Gaussian soliton, gives directly mo...

Most models of ambiguity aversion satisfy Anscombe-Aumann’s Monotonicity axiom. This paper proposes a test of Monotonicity, the Allais Horse Race. It is an adaptation of the Allais paradox to a setting with both subjective and objective uncertainty. Viewed as a thought experiment, the Allais Horse Race allows for introspective assessment of Monotonicity. Implementing it as an incentivized exper...

In specifications of tastes and technology, econometricians often impose curvature globally, but monotonicity only locally or not at all. In fact monotonicity rarely is even mentioned in that literature. But without satisfaction of both curvature and monotonicity, the second order conditions for optimizing behavior fail, and duality theory fails. The resulting first order conditions, demand fun...