Results 11 to 20 of about 59,428 (187)
Monotonicity rule for the quotient of two functions and its application [PDF]
In the article, we provide a monotonicity rule for the function [ P ( x ) + A ( x ) ] / [ P ( x ) + B ( x ) ] $[P(x)+A(x)]/[P(x)+B(x)]$ , where P ( x ) $P(x)$ is a positive differentiable and decreasing function defined on ( − R , R ) $(-R, R)$ ( R > 0 ...
Zhen-Hang Yang+3 more
doaj +4 more sources
Expedient and Monotone Learning Rules [PDF]
This paper considers learning rules for environments in which little prior and feedback information is available to the decision-maker. Two properties of such learning rules, absolute expediency and monotonicity, are studied.
Antonio J. Morales+2 more
core +4 more sources
Collective rationality and monotone path division rules [PDF]
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 of single-seat preferential election rules [PDF]
AbstractVarious properties of preferential election rules are described, including nine forms of monotonicity. It is shown that Condorcet's principle is incompatible with many of them. Some progress is made towards the task of determining all maximal mutually compatible subsets of these properties.
Douglas R. Woodall
openalex +3 more sources
Monotonicity rules for the ratio of power series [PDF]
In this paper, we present some monotonicity rules for the ratio of two power series $x\mapsto \sum_{k=0}^\infty a_k x^k / \sum_{k=0}^\infty b_k x^k$ under the assumption that the monotonicity of the sequence ${a_k/b_k}$ changes twice. Additionally, we introduce a local monotonicity rule in this paper.
Zhong-Xuan Mao, Jing-Feng Tian
openalex +3 more sources
Fuzzy clan games and bi-monotonic allocation rules [PDF]
In this paper the class of fuzzy clan games is introduced. The cores of such games have an interesting shape which inspires to define a class of compensation-sharing rules that are additive and stable on the cone of fuzzy clan games. Further, the notion of bi-monotonic participation allocation scheme (bi-pamas) is introduced and it turns out that each ...
S.H. Tijs+4 more
openalex +10 more sources
Update monotone preference rules [PDF]
Collective decisions are modeled by preference correspondences (rules). In particular, we focus on a new condition: "update monotonicity" for preference rules. Although many so-called impossibility theorems for the choice rules are based on - or related to - monotonicity conditions, this appealing condition is satisfied by several non-trivial ...
Can Burak, Storcken Ton
openaire +5 more sources
Maskin-monotonic scoring rules [PDF]
We characterize which scoring rules are Maskin-monotonic for each social choice problem as a function of the number of agents and the number of alternatives. We show that a scoring rule is Maskin-monotonic if and only if it satisfies a certain unanimity condition.
Dogan, Battal, Koray, Semih
openaire +5 more sources
Drop out monotonic rules for sequencing situations [PDF]
This note introduces a new monotonicity property for sequencing situations. A sequencing rule is called drop out monotonic if no player will be worse off whenever one of the players decides to drop out of the queue before processing starts. This intuitively appealing property turns out to be very strong: we show that there is at most one rule ...
Fernández, C.+3 more
openaire +8 more sources
We study several operators T that when applied to both the numerator and denominator of an increasing, or decreasing, function u/v produce another increasing, or decreasing, function T(u)/T(v). We also give new proofs of the monotone form of L?Hopital?s rule and of Gromov?s theorem.
Ricardo Estrada, Miroslav Pavlović
openalex +4 more sources