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This paper studies a spatial competition game between two firms that sell a homogeneous good at some pre-determined fixed price. A population of consumers is spread out over the real line, and the two firms simultaneously choose location in…

Optimization and Control · Mathematics 2020-01-31 Gaëtan Fournier , Karine Van Der Straeten , Jörgen Weibull

We develop a location analysis spatial model of firms' competition in multi-characteristics space, where consumers' opinions about the firms' products are distributed on multilayered networks. Firms do not compete on price but only on…

Physics and Society · Physics 2017-08-03 Antonios Garas , Athanasios Lapatinas

Recent research in industrial organisation has investigated the essential place that middlemen have in the networks that make up our global economy. In this paper we attempt to understand how such middlemen compete with each other through a…

Computer Science and Game Theory · Computer Science 2013-10-15 Robert P. Gilles , Dimitrios Diamantaras

We analyze a two-period, two-market chain-store game in which an incumbent's conduct in one market is only sometimes seen in the other. This partial observability generates reputational spillovers across markets. We characterize equilibrium…

Theoretical Economics · Economics 2025-10-28 Rubik Khachatryan , Georgy Lukyanov

This paper is concerned with the determination of pricing strategies for a firm that in each period of a finite horizon receives replenishment quantities of a single product which it sells in two markets, e.g., a long-distance market and an…

Optimization and Control · Mathematics 2015-09-25 Wen , Chen , Adam Fleischhacker , Michael N. Katehakis

Industries can enter one country first, and then enter its neighbors' markets. Firms in the industry can expand trade network through the export behavior of other firms in the industry. If a firm is dependent on a few foreign markets, the…

General Economics · Economics 2020-12-15 Xuejian Wang

How does competition in markets for information affect the creation and division of surplus? We study this question in a search environment in which an agent searches sequentially for a high-quality good and learns about the quality of…

Theoretical Economics · Economics 2026-05-26 Teddy Mekonnen , Bobak Pakzad-Hurson

Competing firms tend to select similar locations for their stores. This phenomenon, called the principle of minimum differentiation, was captured by Hotelling with a landmark model of spatial competition but is still the object of an…

Computer Science and Game Theory · Computer Science 2019-03-12 Matthias Feldotto , Pascal Lenzner , Louise Molitor , Alexander Skopalik

We study liquidity provision in the presence of exogenous competition. We consider a `reference market maker' who monitors her inventory and the aggregated inventory of the competing market makers. We assume that the competing market makers…

Mathematical Finance · Quantitative Finance 2024-07-25 Robert Boyce , Martin Herdegen , Leandro Sánchez-Betancourt

We consider the explicit introduction of firms' choice of location to Varian's model of sales for a two-stage spatial competition model based on a standard Hotelling's linear city model. This model is the formalization of Varian's model of…

Computer Science and Game Theory · Computer Science 2017-05-09 Kuninori Nakagawa

Resource competition is a fundamental interaction in natural communities.However little is known about competition in spatial environments where organisms are able to regulate resource distributions. Here, we analyze the competition of two…

Populations and Evolution · Quantitative Biology 2011-02-24 Alexei B. Ryabov , Bernd Blasius

We study competition between firms that contract with consumers before the consumers fully learn their product preferences. In a Hotelling duopoly, firms screen consumers by offering menus of option contracts. We characterize the unique…

Theoretical Economics · Economics 2026-04-30 Ian Ball , Deniz Kattwinkel , Jan Knoepfle

We study the competition of two spreading entities, for example innovations, in complex contagion processes in complex networks. We develop an analytical framework and examine the role of dual users, i.e. agents using both technologies.…

Physics and Society · Physics 2018-11-30 Byungjoon Min , Maxi San Miguel

We study gains from trade in multi-dimensional two-sided markets. Specifically, we focus on a setting with $n$ heterogeneous items, where each item is owned by a different seller $i$, and there is a constrained-additive buyer with…

Computer Science and Game Theory · Computer Science 2022-03-15 Yang Cai , Kira Goldner , Steven Ma , Mingfei Zhao

Machine learning models play a key role for service providers looking to gain market share in consumer markets. However, traditional learning approaches do not take into account the existence of additional providers, who compete with each…

Machine Learning · Computer Science 2025-08-15 Ohad Einav , Nir Rosenfeld

We look at price formation in a retail setting, that is, companies set prices, and consumers either accept prices or go someplace else. In contrast to most other models in this context, we use a two-dimensional spatial structure for…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Kai Nagel , Martin Shubik , Maya Paczuski , Per Bak

We study a class of location games where players want to attract as many resources as possible and pay a cost when deviating from an exogenous reference location. This class of games includes political competitions between policy-interested…

Computer Science and Game Theory · Computer Science 2022-07-29 Fournier Gaëtan , Francou Amaury

We study a steady state of a free entry oligopoly with differentiated goods, that is, a monopolistic competition, with sluggish adjustment of entry and exit of firms under general demand and cost functions by a differential game approach.…

Optimization and Control · Mathematics 2019-06-06 Yasuhito Tanaka

We study a spatially homogeneous model of a market where several agents or companies compete for a wealth resource. In analogy with ecological systems the simplest case of such models shows a kind of "competitive exclusion" principle.…

Condensed Matter · Physics 2009-11-07 Marcelo Kuperman And Horacio Wio

Models of spatial firm competition assume that customers are distributed in space and transportation costs are associated with their purchases of products from a small number of firms that are also placed at definite locations. It has been…

Trading and Market Microstructure · Quantitative Finance 2017-02-22 Alan Roncoroni , Matus Medo
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