Discrete convex analysis: A tool for economics and game theory

K Murota - arXiv preprint arXiv:2212.03598, 2022 - arxiv.org
This paper presents discrete convex analysis as a tool for economics and game theory.
Discrete convex analysis is a new framework of discrete mathematics and optimization …

[HTML][HTML] Menu mechanisms

A Mackenzie, Y Zhou - Journal of Economic Theory, 2022 - Elsevier
We investigate menu mechanisms: dynamic mechanisms where at each history, an agent
selects from a menu of his possible assignments. We consider both ex-post implementation …

Algorithms for L-convex function minimization: Connection between discrete convex analysis and other research fields

A Shioura - Journal of the Operations Research Society of Japan, 2017 - jstage.jst.go.jp
L-convexity is a concept of discrete convexity for functions defined on the integer lattice
points, and plays a central role in the framework of discrete convex analysis. In this paper …

[PDF][PDF] Journal of Mechanism and Institution Design Volume 2, Issue

Z Yang, T Andersson, V Crawford… - … of Mechanism and …, 2016 - mechanism-design.org
We study the convergence of two price processes generated by two dynamic double
auctions (DA) and provide conditions under which the two price processes converge to a …