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On the Concavity of the Consumption Function [PDF]

Econometrica, 1996
At least since Keynes (1935), many economists have had the intuition that the marginal propensity to consume out of wealth declines as wealth increases. Nonetheless, standard perfect-certainty and certainty equivalent versions of intertemporal optimizing models of consumption imply a marginal propensity to consume that is unrelated to the level of ...
Carroll, Christopher D, Kimball, Miles S
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Consistency in Concave Regression

Annals of Statistics, 1976
For each $t$ in some subinterval $T$ of the real line let $F_t$ be a distribution function with mean $m(t)$. Suppose $m(t)$ is concave. Let $t_1, t_2, \cdots$ be a sequence of points in $T$ and let $Y_1, Y_2, \cdots$ be an independent sequence of random variables such that the distribution function of $Y_k$ is $F_{t_k}$. We consider estimators $m_n(t) =
D L Hanson
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The Concave-Convex Procedure

Neural Computation, 2003
The concave-convex procedure (CCCP) is a way to construct discrete-time iterative dynamical systems that are guaranteed to decrease global optimization and energy functions monotonically. This procedure can be applied to almost any optimization problem, and many existing algorithms can be interpreted in terms of it.
Alan L. Yuille, Anand Rangarajan 0001
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Log-concave and concave distributions in reliability

Naval Research Logistics, 1999
Summary: Nonparametric classes of life distributions are usually based on the pattern of aging in some sense. The common parametric families of life distributions also feature monotone aging. We consider the class of log-concave distributions and the subclass of concave distributions. The work is motivated by the fact that most of the common parametric
Sengupta, Debasis, Nanda, Asok K.
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An algorithm to interpolate concavities

Proceedings of the 36th Annual ACM Symposium on Applied Computing, 2021
Region interpolation methods impose restrictions that have an influence on how concavities are transformed, potentially, causing their transformation to be unnatural, e.g., a concavity unexpectedly appears (disappears) from (to) a point. In this work we present an algorithm to transform a line segment to a concavity, and a line segment to a simple non ...
José Duarte, Mark McKenney
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Concavity in Data Analysis

Journal of Classification, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Concave Nontransitive Consumer

Journal of Global Optimization, 2001
The author investigates the problem of characterization of rationalizability of nontransitive preferences of a consumer. Let the preference of a consumer be described by a complete binary relation \(R\) on the set \({\mathbb{R}}^{l}_{+}\) of all possible consumption bundles. For \(x,y\in {\mathbb{R}}^{l}_{+}\), \(xRy\) is interpreted as \(x\) is weakly
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Efficiency and Generalized Concavity

Journal of Optimization Theory and Applications, 1997
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Luc, D. T., Schaible, S.
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Other determinental conditions for concavity and quasi-concavity

Journal of Mathematical Economics, 1984
This paper concerns the conditions based upon the Hessian matrix or the bordered Hessian matrix, to determine whether a twice-differentiable function is concave or quasi-concave.
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Valuations on Concave Functions and Log-Concave Functions

Wuhan University Journal of Natural Sciences, 2019
Recently, the theory of valuations on function spaces has been rapidly growing. It is more general than the classical theory of valuations on convex bodies. In this paper, all continuous, SL(n) and translation invariant valuations on concave functions and log-concave functions are completely classified, respectively.
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