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We investigate a two-stage competitive model involving multiple contests. In this model, each contest designer chooses two participants from a pool of candidate contestants and determines the biases. Contestants strategically distribute…

Computer Science and Game Theory · Computer Science 2023-12-21 Xiaotie Deng , Hangxin Gan , Ningyuan Li , Weian Li , Qi Qi

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,…

Computer Science and Game Theory · Computer Science 2023-01-12 Yash Kanoria , Seungki Min , Pengyu Qian

With a novel search algorithm or assortment planning or assortment optimization algorithm that takes into account a Bayesian approach to information updating and two-stage assortment optimization techniques, the current research provides a…

Theoretical Economics · Economics 2023-07-19 Dipankar Das

In most professional sports, the structure of the environment is kept neutral so that scoring imbalances may be attributed to differences in team skill. It thus remains unknown what impact structural heterogeneities can have on scoring…

Physics and Society · Physics 2013-11-04 Sears Merritt , Aaron Clauset

We consider a price competition between two sellers of perfect-complement goods. Each seller posts a price for the good it sells, but the demand is determined according to the sum of prices. This is a classic model by Cournot (1838), who…

Computer Science and Game Theory · Computer Science 2017-06-02 Moshe Babaioff , Liad Blumrosen , Noam Nisan

We consider a model where agents differ in their `types' which determines their voluntary contribution towards a public good. We analyze what the equilibrium composition of groups are under centralized and centralized choice. We show that…

Theoretical Economics · Economics 2020-08-10 Siddhartha Bandyopadhyay , Antonio Cabrales

Shortlisting is a common and effective method for pre-selecting participants in competitive settings. To ensure fairness, a cut-off score is typically announced, allowing only contestants who exceed it to enter the contest, while others are…

Computer Science and Game Theory · Computer Science 2026-02-13 Hanbing Liu , Ningyuan Li , Weian Li , Qi Qi , Changyuan Yu

In various markets where sellers compete in price, price oscillations are observed rather than convergence to equilibrium. Such fluctuations have been empirically observed in the retail market for gasoline, in airline pricing and in the…

Computer Science and Game Theory · Computer Science 2015-04-28 Moshe Babaioff , Renato Paes Leme , Balasubramanian Sivan

We study the problem of designing a two-sided market (double auction) to maximize the gains from trade (social welfare) under the constraints of (dominant-strategy) incentive compatibility and budget-balance. Our goal is to do so for an…

Computer Science and Game Theory · Computer Science 2024-06-21 Moshe Babaioff , Amitai Frey , Noam Nisan

We study the equilibria of uniform price auctions where many asymmetric bidders have flat demands up to their respective quantity constraints. We present an iterative procedure that systematically finds an equilibrium outcome as well as an…

Theoretical Economics · Economics 2026-04-09 Kiho Yoon

We study a mathematical model of environments populated by both preys and predators, with the possibility for predators to actively compete for the territory. For this model we study existence and uniqueness of solutions, and their…

Analysis of PDEs · Mathematics 2022-12-06 Henri Berestycki , Alessandro Zilio

Research on distributed machine learning algorithms has focused primarily on one of two extremes - algorithms that obey strict concurrency constraints or algorithms that obey few or no such constraints. We consider an intermediate…

Machine Learning · Computer Science 2013-07-31 Xinghao Pan , Joseph E. Gonzalez , Stefanie Jegelka , Tamara Broderick , Michael I. Jordan

Similarity of competitors has been proposed to facilitate coexistence of species because it slows down competitive exclusion, thus making it easier for equalizing mechanisms to maintain diverse communities. On the other hand, chaos can…

Populations and Evolution · Quantitative Biology 2019-02-27 Pablo Rodríguez-Sánchez , Egbert H. van Nes , Marten Scheffer

This paper investigates the impacts of competition in autonomous mobility-on-demand systems. By adopting a network-flow based formulation, we first determine the optimal strategies of profit-maximizing platform operators in monopoly and…

Optimization and Control · Mathematics 2021-07-27 Berkay Turan , Mahnoosh Alizadeh

We consider a situation where wireless service providers compete for heterogenous wireless users. The users differ in their willingness to pay as well as in their individual channel gains. We prove existence and uniqueness of the Nash…

Information Theory · Computer Science 2009-03-12 Vojislav Gajic , Jianwei Huang , Bixio Rimoldi

Teams frequently compete on multiple fronts: political parties contest districts for majority control, contractors field specialized units to win procurement contracts, and squads play match by match for titles. Although the prize accrues…

Theoretical Economics · Economics 2026-05-26 Zhonghong Kuang , Jingfeng Lu , Yiyao Zhu

In this paper we deal with linear production situations in which there is a limited common-pool resource, managed by an external agent. The profit that a producer, or a group of producers, can attain depends on the amount of common-pool…

Optimization and Control · Mathematics 2019-12-09 Elisabeth Gutierrez , Natividad Llorca , Joaquin Sanchez-Soriano , Manuel Mosquera

We study tournaments where winning a rank-dependent prize requires passing a minimum performance standard. We show that, for any prize allocation, the optimal standard is always at a mode of performance that is weakly higher than the global…

Theoretical Economics · Economics 2024-12-03 Mikhail Drugov , Dmitry Ryvkin , Jun Zhang

Persistent economic competition is often justified as a mechanism of innovation, efficiency, and welfare maximization. Yet empirical evidence across disciplines reveals that competition systematically generates fragility, inequality, and…

Theoretical Economics · Economics 2025-06-16 Marcelo S. Tedesco , Gonzalo Marquez

Classical models for competition between two species usually predict exclusion or divergent evolution of resource exploitation. However, recent experimental data show that coexistence is possible for very similar species competing for the…

Populations and Evolution · Quantitative Biology 2009-11-13 I. C. Charret , J. N. C. Louzada , A. T. Costa
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