3 papers
math.RA2026
Decomposition-Closed Sublattices as Minimizer Sets of Modular Functions over Distributive Lattices
Ahmet Alkan, Kemal Yildiz
We characterize the subsets of a finite distributive lattice that arise as the minimizer sets of modular functions. It is immediate that the minimizer set of any modular function i…
econ.TH2025
Self-ordered choice models
Kemal Yildiz
Consider an analyst who, for each menu of alternatives, observes a probability distribution over choices, reflecting heterogeneity in the population's choices. The analyst uses a c…
econ.TH2025
Ordered Probabilistic Choice
Christopher P. Chambers, Yusufcan Masatlioglu, Kemal Yildiz
We introduce a novel perspective by linking ordered probabilistic choice to copula theory, a mathematical framework for modeling dependencies in multivariate distributions. Each re…