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Stability is crucial in matching markets, yet in many real-world settings - from hospital residency allocations to roommate assignments - full stability is either impossible to achieve or can come at the cost of leaving many agents…

计算机科学与博弈论 · 计算机科学 2026-01-21 Frederik Glitzner , David Manlove

In Hotelling's model of spatial competition, a unit mass of voters is distributed in the interval $[0,1]$ (with their location corresponding to their political persuasion), and each of $m$ candidates selects as a strategy his distinct…

计算机科学与博弈论 · 计算机科学 2024-05-09 Umang Bhaskar , Soumyajit Pyne

The Hotelling-Downs model is a natural and appealing model for understanding strategic positioning by candidates in elections. In this model, voters are distributed on a line, representing their ideological position on an issue. Each…

计算机科学与博弈论 · 计算机科学 2024-12-18 Umang Bhaskar , Soumyajit Pyne

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…

计算机科学与博弈论 · 计算机科学 2017-05-09 Kuninori Nakagawa

We study a model of vendors competing to sell a homogeneous product to customers spread evenly along a linear city. This model is based on Hotelling's celebrated paper in 1929. Our aim in this paper is to present a necessary and sufficient…

理论经济学 · 经济学 2019-07-16 Satoshi Hayashi , Naoki Tsuge

A growing body of literature in networked systems research relies on game theory and mechanism design to model and address the potential lack of cooperation between self-interested users. Most game-theoretic models applied to system…

计算机科学与博弈论 · 计算机科学 2007-05-23 Nicolas Christin , Jens Grossklags , John Chuang

Previous research on two-dimensional extensions of Hotelling's location game has argued that spatial competition leads to maximum differentiation in one dimensions and minimum differentiation in the other dimension. We expand on existing…

综合经济学 · 经济学 2021-03-23 Jeffrey D. Michler , Benjamin M. Gramig

We consider competitive facility location as a two-stage multi-agent system with two types of clients. For a given host graph with weighted clients on the vertices, first facility agents strategically select vertices for opening their…

计算机科学与博弈论 · 计算机科学 2024-07-10 Simon Krogmann , Pascal Lenzner , Alexander Skopalik , Marc Uetz , Marnix C. Vos

We characterise multi-candidate pure-strategy equilibria in the Hotelling-Downs spatial election model for the class of best-worst voting rules, in which each voter is endowed with both a positive and a negative vote, i.e., each voter can…

计算机科学与博弈论 · 计算机科学 2016-10-11 Dodge Cahan , Arkadii Slinko

In this paper we study variations of the standard Hotelling-Downs model of spatial competition, where each agent attracts the clients in a restricted neighborhood, each client randomly picks one attractive agent for service. Two utility…

计算机科学与博弈论 · 计算机科学 2016-11-21 Weiran Shen , Zihe Wang

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…

最优化与控制 · 数学 2020-01-31 Gaëtan Fournier , Karine Van Der Straeten , Jörgen Weibull

Schelling's segregation model is a landmark model in sociology. It shows the counter-intuitive phenomenon that residential segregation between individuals of different groups can emerge even when all involved individuals are tolerant.…

计算机科学与博弈论 · 计算机科学 2018-10-22 Ankit Chauhan , Pascal Lenzner , Louise Molitor

Search and matching increasingly takes place on online platforms. These platforms have elements of centralized and decentralized matching; platforms can alter the search process for its users, but are unable to eliminate search frictions…

理论经济学 · 经济学 2025-06-11 Cole Wittbrodt

We consider non-cooperative facility location games where both facilities and clients act strategically and heavily influence each other. This contrasts established game-theoretic facility location models with non-strategic clients that…

计算机科学与博弈论 · 计算机科学 2024-06-17 Simon Krogmann , Pascal Lenzner , Louise Molitor , Alexander Skopalik

We study equilibria of markets with $m$ heterogeneous indivisible goods and $n$ consumers with combinatorial preferences. It is well known that a competitive equilibrium is not guaranteed to exist when valuations are not gross substitutes.…

计算机科学与博弈论 · 计算机科学 2014-06-04 Shahar Dobzinski , Michal Feldman , Inbal Talgam-Cohen , Omri Weinstein

A pure Hotelling game is a competition between a finite number of players who select simultaneously a location in order to attract as many consumers as possible. In this paper, we study the case of a general distribution of consumers on a…

最优化与控制 · 数学 2020-02-03 Gaëtan Fournier

Matching platforms, from ridesharing to food delivery to competitive gaming, face a fundamental operational dilemma: match agents immediately to minimize waiting costs, or delay to exploit the efficiency gains of thicker markets. Yet…

最优化与控制 · 数学 2026-01-30 Jie Liu , Hailun Zhang , Jiheng Zhang

The behaviour of multi-agent learning in competitive settings is often considered under the restrictive assumption of a zero-sum game. Only under this strict requirement is the behaviour of learning well understood; beyond this, learning…

计算机科学与博弈论 · 计算机科学 2023-07-27 Aamal Hussain , Francesco Belardinelli , Georgios Piliouras

We study the competition for partners in two-sided matching markets with heterogeneous agent preferences, with a focus on how the equilibrium outcomes depend on the connectivity in the market. We model random partially connected markets,…

计算机科学与博弈论 · 计算机科学 2023-01-12 Yash Kanoria , Seungki Min , Pengyu Qian

We study the conditions under which input-output networks can dynamically attain a competitive equilibrium, where markets clear and profits are zero. We endow a classical firm network model with minimal dynamical rules that reduce…

综合经济学 · 经济学 2021-11-04 Théo Dessertaine , José Moran , Michael Benzaquen , Jean-Philippe Bouchaud
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