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This paper characterizes equilibrium properties of a broad class of economic models that allow multiple heterogeneous agents to interact in heterogeneous manners across several markets. Our key contribution is a new theorem providing…

General Economics · Economics 2022-09-07 Patrizio Bifulco , Jochen Glück , Oliver Krebs , Bohdan Kukharskyy

It is known that few characterization results of the logistic distribution were available before, although it is similar in shape to the normal one whose characteristic properties have been well investigated. Fortunately, in the last…

Statistics Theory · Mathematics 2018-03-20 Chin-Yuan Hu , Gwo Dong Lin

Quantum coherence, incompatibility, and quantum correlations are fundamental features of quantum physics. A unified view of those features is crucial for revealing quantitatively their intrinsic connections. We define the relative quantum…

Quantum Physics · Physics 2017-05-30 Ming-Liang Hu , Heng Fan

We consider existence and uniqueness properties of a solution to homogeneous cone complementarity problem (HCCP). Employing the $T$-algebraic characterization of homogeneous cones, we generalize the $P, P_0, R_0$ properties for a nonlinear…

Optimization and Control · Mathematics 2010-11-15 Lingchen Kong , Levent Tunçel , Naihua Xiu

We revisit the classic Cournot model and extend it to a two-echelon supply chain with an upstream supplier who operates under demand uncertainty and multiple downstream retailers who compete over quantity. The supplier's belief about retail…

Computer Science and Game Theory · Computer Science 2021-07-19 Constandina Koki , Stefanos Leonardos , Costis Melolidakis

Typically, models with a heterogeneous property are considerably harder to analyze than the corresponding homogeneous models, in which the heterogeneous property is replaced with its average value. In this study we show that any outcome of…

Classical Analysis and ODEs · Mathematics 2012-04-05 Gadi Fibich , Arieh Gavious , Eilon Solan

We interpret homogenousness as a second order property and base it on the same principle as nonmonotonic logic: there might be a small set of exceptions. We use this idea to analyse fundamental questions about defeasible inheritance…

Logic in Computer Science · Computer Science 2019-03-18 Karl Schlechta

Deficit of information zero-way was proposed in HorodeckiHHOSSS2005 as one of possible measures of quantumness of correlations. Numerical calculations suggested that there exist such states for which this quantity is almost equal to mutual…

Quantum Physics · Physics 2008-02-12 Łukasz Pankowski , Barbara Synak-Radtke

Necessary and sufficient conditions are derived for a social choice correspondence to be the one that selects the Pareto optimal alternatives.

Combinatorics · Mathematics 2019-10-30 Jerry S. Kelly

We describe all binary simple homogeneous structures M in terms of 0-definable equivalence relations on M, which "coordinatize" M and control dividing, and extension properties that respect these equivalence relations.

Logic · Mathematics 2016-09-09 Vera Koponen

This paper gives a concise but rigorous mathematical description of a material control volume that is separated into two parts by a singular surface at which physical states are discontinuous. The geometrical background material is…

Analysis of PDEs · Mathematics 2025-01-31 Ferdinand Thein , Gerald Warnecke

Consistency properties of concurrent computations, e.g., sequential consistency, linearizability, or eventual consistency, are essential for devising correct concurrent algorithms. In this paper, we present a logical formalization of such…

Logic in Computer Science · Computer Science 2013-05-13 Klaus v. Gleissenthall , Andrey Rybalchenko

Order flow in equity markets is remarkably persistent in the sense that order signs (to buy or sell) are positively autocorrelated out to time lags of tens of thousands of orders, corresponding to many days. Two possible explanations are…

Trading and Market Microstructure · Quantitative Finance 2014-12-02 Bence Toth , Imon Palit , Fabrizio Lillo , J. Doyne Farmer

Metric currents are, in a certain sense, a metric analogous of flat currents, therefore are related to the geometry of the space and of their support. In this short note, we try to give some evidence for the previous statement, by showing…

Algebraic Topology · Mathematics 2013-09-24 Samuele Mongodi

What is a question? According to Cox a question can be identified with the set of assertions that constitute possible answers. In this paper we propose a different approach that combines the notion that questions are requests for…

Statistical Mechanics · Physics 2009-11-10 Ariel Caticha

We introduce a notion of substitutability for correspondences and establish a monotone comparative static result, unifying results such as the inverse isotonicity of M-matrices, Berry, Gandhi and Haile's identification of demand systems,…

Theoretical Economics · Economics 2022-07-15 Alfred Galichon , Larry Samuelson , Lucas Vernet

A matching queue is described via a graph $G$ together with a matching policy. Specifically, to each node in the graph there is a corresponding arrival process of items which can either be queued, or matched with queued items in neighboring…

Probability · Mathematics 2017-03-08 Pascal Moyal , Ohad Perry

We study the algebraic dynamics of self-correspondences on a curve. A self-correspondence on a (proper and smooth) curve $C$ over an algebraically closed field is the data of another curve $D$ and two non-constant separable morphisms…

Algebraic Geometry · Mathematics 2023-10-04 Joël Bellaïche

We consider a network of sellers, each selling a single product, where the graph structure represents pair-wise complementarities between products. We study how the network structure affects revenue and social welfare of equilibria of the…

Computer Science and Game Theory · Computer Science 2016-05-03 Moshe Babaioff , Liad Blumrosen , Noam Nisan

The flow of contracting systems contracts 1-dimensional parallelotopes, i.e., line segments, at an exponential rate. One reason for the usefulness of contracting systems is that many interconnections of contracting sub-systems yield an…

Dynamical Systems · Mathematics 2022-10-20 Ron Ofir , Michael Margaliot , Yoash Levron , Jean-Jacques Slotine