Supermodular Functions on Finite Lattices
نویسندگان
چکیده
منابع مشابه
Supermodular Functions on Finite Lattices
The supermodular order on multivariate distributions has many applications in financial and actuarial mathematics. In the particular case of finite, discrete distributions, we generalize the order to distributions on finite lattices. In this setting, we focus on the generating cone of supermodular functions because the extreme rays of that cone (modulo the modular functions) can be used as test...
متن کاملA note on supermodular sublattices in finite relatively complemented lattices
A sublattice in a lattice is called supermodular if, for every two elements, one of which belongs to the sublattice, at least one of their meet and join also belongs to the sublattice. In this note, we describe supermodular sublattices in products of relatively complemented lattices.
متن کاملMaximizing Supermodular Functions on Product Lattices, with Application to Maximum Constraint Satisfaction
Recently, a strong link has been discovered between supermodularity on lattices and tractability of optimization problems known as maximum constraint satisfaction problems. The present paper strengthens this link. We study the problem of maximizing a supermodular function which is defined on a product of n copies of a fixed finite lattice and given by an oracle. We exhibit a large class of fini...
متن کاملPseudo-polynomial Functions over Finite Distributive Lattices
In this paper we extend the authors’ previous works [6, 7] by considering an aggregation model f : X1 × · · · × Xn → Y for arbitrary sets X1, . . . ,Xn and a finite distributive lattice Y , factorizable as f(x1, . . . , xn) = p(φ1(x1), . . . , φn(xn)), where p is an n-variable lattice polynomial function over Y , and each φk is a map from Xk to Y . Following the terminology of [6, 7], these are...
متن کاملFinite supermodular design with interdependent valuations
This paper studies supermodular mechanism design in environments with finite type spaces and interdependent valuations. In such environments, it is difficult to implement social choice functions in ex-post equilibrium, hence Bayesian Nash equilibrium becomes the appropriate equilibrium concept. The requirements for agents to play a Bayesian equilibrium are strong, so we propose mechanisms that ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Order
سال: 2005
ISSN: 0167-8094,1572-9273
DOI: 10.1007/s11083-005-9026-5