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Minimal monotonic extensions of scoring rules

Social Choice and Welfare, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Erdem, Orhan, Sanver, M. Remzi
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Monotonicity and qualified majority rules

Economic Theory Bulletin, 2018
This paper reflects on some results characterizing qualified majority rules using monotonicity as a key axiom. In particular, some errors in the existing literature are detected and ways to fix them are proposed. Then, the role of monotonicity axiom in characterizing majority rules is analyzed.
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Monotonic Assignment Rules and Common Pricing

Mathematics of Operations Research, 2006
In this paper we study the production and pricing of a good by a single supplier (such as a monopolist or government) under some given optimality criterion—for example, profit maximization or social benefit maximization. In general, this may require discriminatory pricing.
James Bergin, Lin Zhou
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Learning of non-monotonic rules by simple perceptrons

Journal of Physics A: Mathematical and General, 1998
In this paper, we study the generalization ability of a simple perceptron which learns an unrealizable Boolean function represented by a perceptron with a non-monotonic transfer function of reversed-wedge type. This type of non-monotonic perceptron is considered as a variant of multilayer perceptron and is parametrized by a single `wedge' parameter a ...
Kabashima, Yoshiyuki, Inoue, Jun-ichi
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Consistency, monotonicity, and the uniform rule

Economics Letters, 1994
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Inductive discovery of laws using monotonic rules

Engineering Applications of Artificial Intelligence, 2012
We are considering knowledge discovery from data describing a piece of real or abstract world. The patterns being induced put in evidence some laws hidden in the data. The most natural representation of patterns-laws is by ''if..., then...'' decision rules relating some conditions with some decisions.
Blaszczynski J   +2 more
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Monotonicity and robustness of majority rule

Economics Letters, 2010
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Monotone optimal decision rules and their computation

Journal of Optimization Theory and Applications, 1986
For a given objective function w(x,a) on \(X\times A\), a maximizing \(a=\delta (x)\) has to be determined for each x in the totally ordered set X. We give conditions on w such that there is a monotone \(\delta\) which can be computed recursively if A is finite.
Benzing, H., Kolonko, M.
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Population monotonic rules for fair allocation problems

Social Choice and Welfare, 2004
We consider the property of population monotonicity in the context of fair allocation problems in private good economies. It is already known that the property is compatible with the equal division lower bound. We show that if the equal division lower bound is replaced with no envy, the compatibility does not hold. We also show that the incompatibility
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Fused Lasso Screening Rules via the Monotonicity of Subdifferentials

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2015
Fused Lasso is a popular regression technique that encodes the smoothness of the data. It has been applied successfully to many applications with a smooth feature structure. However, the computational cost of the existing solvers for fused Lasso is prohibitive when the feature dimension is extremely large.
Jie, Wang, Wei, Fan, Jieping, Ye
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