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L'Hopital-Type Rules for Monotonicity with Application to Quantum Calculus [PDF]

open access: greenInt. J. Math. Comput. 10 (2011), no. M11, 99--106, 2010
We prove new l'Hopital rules for monotonicity valid on an arbitrary time scale. Both delta and nabla monotonic l'Hopital rules are obtained. As an example of application, we give some new upper and lower bounds for the exponential function of quantum calculus restricted to the q-scale.
Natália Regina Alves Vaz Martins   +1 more
arxiv   +3 more sources

Collective rationality and monotone path division rules [PDF]

open access: yesJournal of Economic Theory, 2014
We impose the axiom Independence of Irrelevant Alternatives on division rules for the conflicting claims problem. With the addition of Consistency and Resource Monotonicity, this characterizes a family of rules which can be described in three different ...
Stovall, John E.
core   +6 more sources

Monotonicity and Competitive Equilibrium in Cake-cutting

open access: yesEconomic Theory, 2018
We study the monotonicity properties of solutions in the classic problem of fair cake-cutting --- dividing a heterogeneous resource among agents with different preferences.
Segal-Halevi, Erel, Sziklai, Balázs
core   +2 more sources

Monotonicity axioms in approval-based multi-winner voting rules [PDF]

open access: greenProc. of the 18th International Conference on Autonomous Agents and Multiagent Systems (AAMAS 2019), 2017
In this paper we study several monotonicity axioms in approval-based multi-winner voting rules. We consider monotonicity with respect to the support received by the winners and also monotonicity in the size of the committee. Monotonicity with respect to the support is studied when the set of voters does not change and when new voters enter the election.
Luis Sánchez Fernández   +1 more
arxiv   +3 more sources

Committee Monotonic Proportional Representation: A New Voting Rule and Impossibility Results [PDF]

open access: green
We study committee voting rules under ranked preferences, which map the voters' preference relations to a subset of the alternatives of predefined size. In this setting, the compatibility between proportional representation and committee monotonicity is ...
Aziz, Haris   +2 more
core   +2 more sources

Monotonicity and Implementability

open access: yesEconometrica, 2010
Consider an environment with a finite number of alternatives, and agents with private values and quasilinear utility functions. A domain of valuation functions for an agent is a monotonicity domain if every finite-valued monotone randomized allocation ...
I. Ashlagi   +3 more
exaly   +2 more sources

Monotonicity rules for the ratio of two Laplace transforms with applications [PDF]

open access: bronzeJournal of Mathematical Analysis and Applications, 2018
Let $f$ and $g$ be both continuous functions on $\left( 0,\infty \right) $ with $g\left( t\right) >0$ for $t\in \left( 0,\infty \right) $ and let $ F\left( x\right) =\mathcal{L}\left( f\right) $, $G\left( x\right) =\mathcal{L }\left( g\right) $ be respectively the Laplace transforms of $f$ and $g$ converging for $x>0$. We prove that if there is a
Zhen-Hang Yang, Jing-Feng Tian
openalex   +4 more sources

GENERALIZED FRACTION RULES FOR MONOTONICITY WITH HIGHER ANTIDERIVATIVES AND DERIVATIVES [PDF]

open access: hybridJournal of Mathematical Sciences
AbstractWe first introduce the generic versions of the fraction rules for monotonicity, i.e., the one that involves integrals known as Gromov’s theorem and the other that involves derivatives known as L’Hôpital’s rule for monotonicity, which we then extend to high-order antiderivatives and derivatives, respectively.
Vasiliki Bitsouni   +2 more
openalex   +3 more sources

A Simple Perceptron that Learns Non-Monotonic Rules

open access: green, 1997
LaTeX 10 pages including 6 ps figures, using llncs.sty, Proc.
Jun‐ichi Inoue   +2 more
openalex   +4 more sources

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