This paper defines and analyzes a new monotonicity condition for the identification of counterfactuals and treatment effects in unordered discrete choice models with multiple treatments, heterogenous agents and discrete-valued instruments.
J. Heckman, Rodrigo Pinto
semanticscholar +4 more sources
Monotonicity-based Inversion of the Fractional Schrödinger Equation I. Positive Potentials [PDF]
We consider the inverse problems of for the fractional Schr\"odinger equation by using monotonicity formulas. We provide if-and-only-if monotonicity relations between positive bounded potentials and their associated nonlocal Dirichlet-to-Neumann maps ...
B. Harrach, Yi-Hsuan Lin
semanticscholar +3 more sources
Mean field game master equations with anti-monotonicity conditions [PDF]
It is well known that the monotonicity condition, either in Lasry-Lions sense or in displacement sense, is crucial for the global well-posedness of mean field game master equations, as well as for the uniqueness of mean field equilibria and solutions to ...
Chenchen Mou, Jianfeng Zhang
semanticscholar +1 more source
Mean field games master equations with nonseparable Hamiltonians and displacement monotonicity [PDF]
. In this manuscript, we propose a structural condition on non-separable Hamiltonians, which we term displacement monotonicity condition, to study second order mean field games master equations.
W. Gangbo +3 more
semanticscholar +1 more source
Monotonicity-Based Inversion of the Fractional Schödinger Equation II. General Potentials and Stability [PDF]
In this work, we use monotonicity-based methods for the fractional Schrodinger equation with general potentials q in L^\infty(Omega) in a Lipschitz bounded open set Omega \subset R^n in any dimensi...
B. Harrach, Yi-Hsuan Lin
semanticscholar +2 more sources
Monotonicity of Orlicz Function Space-equipped with S-norm
Monotonicity is important to Banach space geometry. In this paper,the monotonicity of Orlicz spaces equipped with the s-norm are dicussed. First,we gave some basic properties of the spaces.
WANG Jun-ming, TONG Qiu-yi
doaj +1 more source
Monotonicity-based inversion of fractional semilinear elliptic equations with power type nonlinearities [PDF]
We investigate the monotonicity method for fractional semilinear elliptic equations with power type nonlinearities. We prove that if-and-only-if monotonicity relations between coefficients and derivatives of the Dirichlet-to-Neumann map hold.
Yi-Hsuan Lin
semanticscholar +1 more source
Upper Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces
In this paper, the necessary and sufficient conditions for the upper strict monotonicity point and the upper local uniform monotonicity point are given in the case of Musielak–Orlicz spaces equipped with the Mazur–Orlicz F-norm.
Yanli Liu, Yangyang Xue, Yunan Cui
doaj +1 more source
Can Neural Networks Understand Monotonicity Reasoning? [PDF]
Monotonicity reasoning is one of the important reasoning skills for any intelligent natural language inference (NLI) model in that it requires the ability to capture the interaction between lexical and syntactic structures.
Hitomi Yanaka +6 more
semanticscholar +1 more source
Monotone Confounding, Monotone Treatment Selection and Monotone Treatment Response [PDF]
AbstractManski (Monotone treatment response. Econometrica 1997;65:1311–34) and Manski and Pepper (Monotone instrumental variables: with an application to the returns to schooling. Econometrica 2000;68:997–1010) gave sharp bounds on causal effects under the assumptions of monotone treatment response (MTR) and monotone treatment selection (MTS ...
Jiang Zhichao +2 more
openaire +3 more sources

