Econometrica, ISSN 0012-9682, 01/2018, Volume 86, Issue 1, pp. 1 - 35

This paper defines and analyzes a new monotonicity condition for the identification of counterfactuals and treatment effects in unordered discrete choice...

selection bias | discrete choice | identification | discrete mixtures | Instrumental variables | monotonicity | revealed preference | Generalized Roy model | binary matrices | EQUATIONS | STATISTICS & PROBABILITY | POLICY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MODELS | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | FINITE MIXTURES | IDENTIFIABILITY | Economists | Analysis | College teachers | Combinatorics | Economic models | Discrete Mixtures | Revealed Preference | I21 | Discrete Choice | Identification | Generalized Roy Model | J15 | Selection Bias | V16 | Binary Matrices | Instrumental Variables | C93 | Monotonicity

selection bias | discrete choice | identification | discrete mixtures | Instrumental variables | monotonicity | revealed preference | Generalized Roy model | binary matrices | EQUATIONS | STATISTICS & PROBABILITY | POLICY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MODELS | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | FINITE MIXTURES | IDENTIFIABILITY | Economists | Analysis | College teachers | Combinatorics | Economic models | Discrete Mixtures | Revealed Preference | I21 | Discrete Choice | Identification | Generalized Roy Model | J15 | Selection Bias | V16 | Binary Matrices | Instrumental Variables | C93 | Monotonicity

Journal Article

2008, 2nd, expanded edition., Lecture notes in mathematics, ISBN 9781402069185, Volume 1693., xiv, 244

Book

1998, Lecture notes in mathematics, ISBN 3540647554, Volume 1693., xi, 172

Book

Journal of Mathematical Physics, ISSN 0022-2488, 12/2013, Volume 54, Issue 12, p. 122201

We show that a recent definition of relative Rényi entropy is monotone under completely positive, trace preserving maps. This proves a recent conjecture of...

INEQUALITIES | CONCAVITY | PHYSICS, MATHEMATICAL | TRACE FUNCTIONS | CONVEXITY | QUANTUM ENTROPY | Entropy | MAPS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ENTROPY | EXCITATION FUNCTIONS

INEQUALITIES | CONCAVITY | PHYSICS, MATHEMATICAL | TRACE FUNCTIONS | CONVEXITY | QUANTUM ENTROPY | Entropy | MAPS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ENTROPY | EXCITATION FUNCTIONS

Journal Article

Taiwanese Journal of Mathematics, ISSN 1027-5487, 2/2014, Volume 18, Issue 1, pp. 237 - 255

In this paper, new concepts of monotonicity, namely (Φ, )-monotonicity, (Φ, ) -pseudo-monotonicity and (Φ, )-quasi-monotonicityare introduced for functions...

Tonicity | Necessary conditions for optimality | Mathematical functions | Mathematical vectors | Convexity | Necessary conditions | Banach space | Monotonic functions | ρ)-pseudo-monotonicity | ρ)-pseudo-invexity | ρ)-invexity | ρ)-quasi-invexity | ρ)-monotonicity | ρ)-quasi-monotonicity | Phi | CRITERIA | MATHEMATICS | p)-Invexity,(Phi | p)-Pseudo-invexity | p)-Quasi-invexity | Phi, p)-Monotonicity,(Phi | p)-Pseudo-monotonicity,(Phi | p)-Quasi-monotonicity

Tonicity | Necessary conditions for optimality | Mathematical functions | Mathematical vectors | Convexity | Necessary conditions | Banach space | Monotonic functions | ρ)-pseudo-monotonicity | ρ)-pseudo-invexity | ρ)-invexity | ρ)-quasi-invexity | ρ)-monotonicity | ρ)-quasi-monotonicity | Phi | CRITERIA | MATHEMATICS | p)-Invexity,(Phi | p)-Pseudo-invexity | p)-Quasi-invexity | Phi, p)-Monotonicity,(Phi | p)-Pseudo-monotonicity,(Phi | p)-Quasi-monotonicity

Journal Article

6.
Full Text
Connections between centrality and local monotonicity of certain functions on C⁎-algebras

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 09/2017, Volume 453, Issue 1, pp. 221 - 226

We introduce a quite large class of functions (including the exponential function and the power functions with exponent greater than one), and show that for...

[formula omitted]-algebra | Monotonicity | Centrality | algebra | MATHEMATICS | COMMUTATIVITY | MATHEMATICS, APPLIED | C-algebra

[formula omitted]-algebra | Monotonicity | Centrality | algebra | MATHEMATICS | COMMUTATIVITY | MATHEMATICS, APPLIED | C-algebra

Journal Article

Econometrica, ISSN 0012-9682, 9/2010, Volume 78, Issue 5, pp. 1749 - 1772

Consider an environment with a finite number of alternatives, and agents with private values and quasilinear utility functions. A domain of valuation functions...

Mathematical monotonicity | NOTES AND COMMENTS | Mechanism design | Triangles | Mathematical functions | Mathematical vectors | Same sex marriage | Dominant strategy | Monotonic functions | Polygons | Vertices | Monotone | implementable | cyclic monotonicity | dominant strategies | Implementable | Cyclic monotonicity | Dominant strategies | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | AUCTIONS | MECHANISM DESIGN | STATISTICS & PROBABILITY | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | University and college libraries

Mathematical monotonicity | NOTES AND COMMENTS | Mechanism design | Triangles | Mathematical functions | Mathematical vectors | Same sex marriage | Dominant strategy | Monotonic functions | Polygons | Vertices | Monotone | implementable | cyclic monotonicity | dominant strategies | Implementable | Cyclic monotonicity | Dominant strategies | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | AUCTIONS | MECHANISM DESIGN | STATISTICS & PROBABILITY | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | University and college libraries

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 2007, Volume 227, Issue 1, pp. 123 - 142

We show that standard algorithms for anisotropic diffusion based on centered differencing (including the recent symmetric algorithm) do not preserve...

Finite differencing | Anisotropic diffusion | SPACE | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PLASMA | MRI | EQUATIONS | anisotropic diffusion | FLOWS | PHYSICS, MATHEMATICAL | finite differencing | 2 DIMENSIONS | Thermodynamics | Anisotropy | Algorithms | INSTABILITY | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | THERMAL CONDUCTION | ALGORITHMS | TEMPERATURE GRADIENTS | ANISOTROPY | ASYMMETRY | THERMODYNAMICS | ASTROPHYSICS | DIFFUSION | ENTROPY

Finite differencing | Anisotropic diffusion | SPACE | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PLASMA | MRI | EQUATIONS | anisotropic diffusion | FLOWS | PHYSICS, MATHEMATICAL | finite differencing | 2 DIMENSIONS | Thermodynamics | Anisotropy | Algorithms | INSTABILITY | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | THERMAL CONDUCTION | ALGORITHMS | TEMPERATURE GRADIENTS | ANISOTROPY | ASYMMETRY | THERMODYNAMICS | ASTROPHYSICS | DIFFUSION | ENTROPY

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 07/2013, Volume 219, Issue 21, pp. 10538 - 10547

For the -function, we derive several properties and characteristics related to convexity, log-convexity and complete monotonicity. Similar properties and...

Completely monotonic functions | Log-convex functions | [formula omitted]-Gamma function | [formula omitted]-Psi function | Young’s inequality | Borel measure | Laplace transforms | Logarithmically completely monotonic functions | Log-convex functions (p, q) -Gamma function (p, q) Psi | function | Young's inequality | Q-ANALOG | MATHEMATICS, APPLIED | INEQUALITIES | (p, q)-Psi function | ZETA | (p, q)-Gamma function | GENERALIZED GAMMA | Mathematical models | Convexity | Computation | Mathematical analysis

Completely monotonic functions | Log-convex functions | [formula omitted]-Gamma function | [formula omitted]-Psi function | Young’s inequality | Borel measure | Laplace transforms | Logarithmically completely monotonic functions | Log-convex functions (p, q) -Gamma function (p, q) Psi | function | Young's inequality | Q-ANALOG | MATHEMATICS, APPLIED | INEQUALITIES | (p, q)-Psi function | ZETA | (p, q)-Gamma function | GENERALIZED GAMMA | Mathematical models | Convexity | Computation | Mathematical analysis

Journal Article

Mathematische Nachrichten, ISSN 0025-584X, 06/2019, Volume 292, Issue 6, pp. 1238 - 1245

We present some monotonicity results for a class of Dirichlet series generalizing previously known results. The fact that ζ′(s) is in that class presents a...

11M26 | first derivative of the Riemann zeta function | 11M06 | logarithmically complete monotonicity | 26A48 | Ramanujan‐tau L‐function | complete monotonicity | Ramanujan-tau L-function | MATHEMATICS | GAMMA-FUNCTIONS | PSI | ZEROS

11M26 | first derivative of the Riemann zeta function | 11M06 | logarithmically complete monotonicity | 26A48 | Ramanujan‐tau L‐function | complete monotonicity | Ramanujan-tau L-function | MATHEMATICS | GAMMA-FUNCTIONS | PSI | ZEROS

Journal Article

Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 2/2020, Volume 59, Issue 1, pp. 1 - 32

Using the electrostatic potential u due to a uniformly charged body $$\Omega \subset {\mathbb {R}}^n$$ Ω⊂Rn , $$n\ge 3$$ n≥3 , we introduce a family of...

35B06 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | 53C21 | 35N25 | Mathematics

35B06 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | 53C21 | 35N25 | Mathematics

Journal Article

The Mathematical Intelligencer, ISSN 0343-6993, 12/2018, Volume 40, Issue 4, pp. 12 - 13

Math. Intell. 40 (2018), 12-13 We offer an alternative and shorter proof to a result by Jan J.Ub{\o}e about monotonicity properties of a one-dimensional...

Mathematics, general | Mathematical Methods in Physics | Mathematics | Numerical and Computational Physics, Simulation | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering | MATHEMATICS | Mathematics - Classical Analysis and ODEs

Mathematics, general | Mathematical Methods in Physics | Mathematics | Numerical and Computational Physics, Simulation | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering | MATHEMATICS | Mathematics - Classical Analysis and ODEs

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 6/2019, Volume 91, Issue 3, pp. 1 - 11

In this paper, we give two characterizations of central elements in a $$C^*$$ C∗ -algebra $$\mathcal {A}$$ A in terms of local properties of maps on $$\mathcal...

Additivity | Analysis | Primary 46L05 | Centrality | Mathematics | C^$$ C ∗ -algebras | Monotonicity | Continuous function calculus

Additivity | Analysis | Primary 46L05 | Centrality | Mathematics | C^$$ C ∗ -algebras | Monotonicity | Continuous function calculus

Journal Article

2005, Nonconvex optimization and its applications, ISBN 9780387232553, Volume 76, xx, 672

Studies in generalized convexity and generalized monotonicity have significantly increased during the last two decades. Researchers with very diverse...

Convex functions | Monotonic functions | Mathematics | Operations Research, Mathematical Programming | Game Theory, Economics, Social and Behav. Sciences | Real Functions

Convex functions | Monotonic functions | Mathematics | Operations Research, Mathematical Programming | Game Theory, Economics, Social and Behav. Sciences | Real Functions

Book

Econometrica, ISSN 0012-9682, 03/2018, Volume 86, Issue 2, pp. 737 - 761

This paper proposes a new semi‐parametric identification and estimation approach to multinomial choice models in a panel data setting with individual fixed...

multinomial choice | Cyclic monotonicity | convex analysis | panel data | fixed effects | RANK CORRELATION ESTIMATOR | INSTRUMENTAL VARIABLES | MARKETS | STATISTICS & PROBABILITY | IDENTIFICATION | INFERENCE | LINEAR-MODELS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | UNIFORM-CONVERGENCE | REGRESSION-MODEL | Product choice | Estimating techniques | Inequality

multinomial choice | Cyclic monotonicity | convex analysis | panel data | fixed effects | RANK CORRELATION ESTIMATOR | INSTRUMENTAL VARIABLES | MARKETS | STATISTICS & PROBABILITY | IDENTIFICATION | INFERENCE | LINEAR-MODELS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | UNIFORM-CONVERGENCE | REGRESSION-MODEL | Product choice | Estimating techniques | Inequality

Journal Article

Journal of Econometrics, ISSN 0304-4076, 11/2018, Volume 207, Issue 1, pp. 53 - 70

We develop improved statistical procedures for testing stochastic monotonicity. While existing tests use a fixed critical value to set the limiting rejection...

Hadamard directional differentiability | Copula | Stochastic monotonicity | Least concave majorant | Hadamard differentiability | CONCAVE MAJORANT | UNITED-STATES | REGRESSION | INTERGENERATIONAL EARNINGS MOBILITY | INEQUALITY | SMIRNOV TYPE TEST | DISTRIBUTIONS | EMPIRICAL COPULA PROCESSES | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | INCOME | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | ASSORTATIVE MARRIAGE

Hadamard directional differentiability | Copula | Stochastic monotonicity | Least concave majorant | Hadamard differentiability | CONCAVE MAJORANT | UNITED-STATES | REGRESSION | INTERGENERATIONAL EARNINGS MOBILITY | INEQUALITY | SMIRNOV TYPE TEST | DISTRIBUTIONS | EMPIRICAL COPULA PROCESSES | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | INCOME | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | ASSORTATIVE MARRIAGE

Journal Article

Journal of Applied Econometrics, ISSN 0883-7252, 03/2016, Volume 31, Issue 2, pp. 338 - 356

Summary A large class of asset pricing models predicts that securities which have high payoffs when market returns are low tend to be more valuable than those...

SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | PRICES | RISK-AVERSION | REALIZED KERNELS | IMPLICIT | Analysis | Pricing | Economic models | Assets

SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | PRICES | RISK-AVERSION | REALIZED KERNELS | IMPLICIT | Analysis | Pricing | Economic models | Assets

Journal Article

Journal of Statistical Physics, ISSN 0022-4715, 10/2013, Volume 153, Issue 1, pp. 70 - 92

We construct a general theory of operator monotonicity and apply it to the Fröhlich polaron hamiltonian. This general theory provides a consistent viewpoint of...

Polaron | Self-dual cone | Physical Chemistry | Theoretical, Mathematical and Computational Physics | Operator inequality | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Positivity preserving semigroup | Physics | GROUND-STATE | CONES | FIELD | NONRELATIVISTIC PARTICLES | MODEL | PHYSICS, MATHEMATICAL | SEMIGROUPS | CUTOFFS | VONNEUMANN ALGEBRAS | SYSTEMS | EFFECTIVE MASS

Polaron | Self-dual cone | Physical Chemistry | Theoretical, Mathematical and Computational Physics | Operator inequality | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Positivity preserving semigroup | Physics | GROUND-STATE | CONES | FIELD | NONRELATIVISTIC PARTICLES | MODEL | PHYSICS, MATHEMATICAL | SEMIGROUPS | CUTOFFS | VONNEUMANN ALGEBRAS | SYSTEMS | EFFECTIVE MASS

Journal Article

Economic Theory, ISSN 0938-2259, 06/2016, Volume 62, Issue 1-2, pp. 221 - 243

We study unanimity bargaining on the division of a surplus in the presence of monotonicity constraints. The monotonicity constraints specify a complete order...

6 Data source | c72 - Noncooperative Games | 2 International | c78 - "Bargaining Theory; Matching Theory" | d63 - Equity, Justice, Inequality, and Other Normative Criteria and Measurement | Non-cooperative bargaining | Monotonicity constraints | Subgame perfect equilibrium | Nash bargaining solution | Economics | D63 | C78 | Economic Theory/Quantitative Economics/Mathematical Methods | Microeconomics | Public Finance & Economics | Game Theory, Economics, Social and Behav. Sciences | C72 | TALMUD | GAME-THEORETIC ANALYSIS | BANKRUPTCY | EQUILIBRIUM | TAXATION | ECONOMICS | MODEL | Equilibrium (Economics) | Analysis | Collective labor agreements | Monotonic functions | Studies | Economic models | Economic theory | Bargaining | Game theory | Equilibrium | Economic statistics

6 Data source | c72 - Noncooperative Games | 2 International | c78 - "Bargaining Theory; Matching Theory" | d63 - Equity, Justice, Inequality, and Other Normative Criteria and Measurement | Non-cooperative bargaining | Monotonicity constraints | Subgame perfect equilibrium | Nash bargaining solution | Economics | D63 | C78 | Economic Theory/Quantitative Economics/Mathematical Methods | Microeconomics | Public Finance & Economics | Game Theory, Economics, Social and Behav. Sciences | C72 | TALMUD | GAME-THEORETIC ANALYSIS | BANKRUPTCY | EQUILIBRIUM | TAXATION | ECONOMICS | MODEL | Equilibrium (Economics) | Analysis | Collective labor agreements | Monotonic functions | Studies | Economic models | Economic theory | Bargaining | Game theory | Equilibrium | Economic statistics

Journal Article

Mathematical Social Sciences, ISSN 0165-4896, 09/2018, Volume 95, pp. 19 - 30

In the classic cake-cutting problem (Steinhaus, 1948), a heterogeneous resource has to be divided among agents with different valuations in a way —giving each...

BORSUK-ULAM | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | FAIR DIVISION | PREFERENCES | ECONOMIES | NECKLACES | LAND | SOCIAL SCIENCES, MATHEMATICAL METHODS | PRINCIPLE | ECONOMICS | ALLOCATION RULES | Game theory | Management science

BORSUK-ULAM | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | FAIR DIVISION | PREFERENCES | ECONOMIES | NECKLACES | LAND | SOCIAL SCIENCES, MATHEMATICAL METHODS | PRINCIPLE | ECONOMICS | ALLOCATION RULES | Game theory | Management science

Journal Article