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We present a general analysis of multidimensional matching problems with transferable utility, paying particular attention to the case in which the dimensions of heterogeneity on the two sides of the market are unequal. A particular…

Economics · Quantitative Finance 2016-04-21 Pierre-André Chiappori , Robert McCann , Brendan Pass

When involution affects individuals, their efforts do not augment resources but merely compete for limited resources. From entrance exams to company overtime, such efforts lead to unnecessary costs, undermining group welfare. Meanwhile, the…

Statistical Mechanics · Physics 2023-12-13 Chaochao Huang , Chaoqian Wang

This paper is intended to investigate the dynamics of heterogeneous Cournot duopoly games, where the first players adopt identical gradient adjustment mechanisms but the second players are endowed with distinct rationality levels. Based on…

Theoretical Economics · Economics 2022-12-15 Xiaoliang Li , Yihuo Jiang

We introduce a simple benchmark model of dynamic matching in networked markets, where agents arrive and depart stochastically and the network of acceptable transactions among agents forms a random graph. We analyze our model from three…

Computer Science and Game Theory · Computer Science 2014-02-18 Mohammad Akbarpour , Shengwu Li , Shayan Oveis Gharan

I prove that competitive market outcomes require computational intractability. If P = NP, firms can efficiently solve the collusion detection problem, identifying deviations from cooperative agreements in complex, noisy markets and thereby…

Computer Science and Game Theory · Computer Science 2026-02-25 Philip Z. Maymin

Patterns of wins and losses in pairwise contests, such as occur in sports and games, consumer research and paired comparison studies, and human and animal social hierarchies, are commonly analyzed using probabilistic models that allow one…

Physics and Society · Physics 2025-11-03 Maximilian Jerdee , M. E. J. Newman

Competition is ubiquitous in many complex biological, social, and technological systems, playing an integral role in the evolutionary dynamics of the systems. It is often useful to determine the dominance hierarchy or the rankings of the…

Physics and Society · Physics 2019-01-09 Seungkyu Shin , Sebastian E. Ahnert , Juyong Park

Studying competition and market structure at the product level instead of brand level can provide firms with insights on cannibalization and product line optimization. However, it is computationally challenging to analyze product-level…

Machine Learning · Computer Science 2020-05-22 Fanglin Chen , Xiao Liu , Davide Proserpio , Isamar Troncoso , Feiyu Xiong

According to common understanding, in free completion of a private product, market and price, the two main factors in the competition that leads to economic efficiency, always exist together. This paper, however, points out the phenomenon…

General Economics · Economics 2021-06-30 Vincent Zha

Studying intra-industry trade involves theoretical explanations and empirical methods to measure the phenomenon. Indicators have been developed to measure the intensity of intra-industry trade, leading to theoretical models explaining its…

Theoretical Economics · Economics 2023-09-01 Sourish Dutta

The literature in modern machine learning has only negative results for learning to communicate between competitive agents using standard RL. We introduce a modified sender-receiver game to study the spectrum of partially-competitive…

Machine Learning · Computer Science 2021-01-26 Michael Noukhovitch , Travis LaCroix , Angeliki Lazaridou , Aaron Courville

The ability of a deterministic, plastic system to learn to imitate stochastic behavior is analyzed. Two neural networks -actually, two perceptrons- are put to play a zero-sum game one against the other. The competition, by acting as a kind…

Disordered Systems and Neural Networks · Physics 2009-10-31 I. Samengo , D. H. Zanette

In the setting of online algorithms, the input is initially not present but rather arrive one-by-one over time and after each input, the algorithm has to make a decision. Depending on the formulation of the problem, the algorithm might be…

Data Structures and Algorithms · Computer Science 2020-01-10 Mustafa Safa Ozdayi

Sponsored search mechanisms have drawn much attention from both academic community and industry in recent years since the seminal papers of [13] and [14]. However, most of the existing literature concentrates on the mechanism design and…

Computer Science and Game Theory · Computer Science 2010-09-01 Jian Liu , Dah Ming Chiu

Pursuit and evasion conflicts represent challenging problems with important applications in aerospace and robotics. In pursuit-evasion problems, synthesis of intelligent actions must consider the adversary's potential strategies.…

Optimization and Control · Mathematics 2020-03-12 Isaac E. Weintraub , Meir Pachter , Eloy Garcia

In order to understand how impulsive interventions and environmental perturbations affect dynamics of competitors, we focus on a diffusive competition model with free boundaries and periodic pulses in a temporally heterogeneous environment…

Analysis of PDEs · Mathematics 2023-09-11 Yue Meng , Zhigui Lin , Carlos Alberto Santos

The dynamics of dispersal-structured populations, consisting of competing individuals that are characterized by different diffusion coefficients but are otherwise identical, is investigated. Competition is taken into account through…

Biological Physics · Physics 2020-04-15 E. Heinsalu , D. Navidad Maeso , M. Patriarca

This paper proposes a two-step framework for techno-economic analysis of a demand-side flexibility service in distribution networks. Step one applies optimization-based modelling to propose a generic problem formulation which determines the…

Systems and Control · Electrical Eng. & Systems 2022-01-10 Timur Sayfutdinov , Charalampos Patsios , David Greenwood , Meltem Peker , Ilias Sarantakos

Spatial segregation occurs in population dynamics when $k$ species interact in a highly competitive way. As a model for the study of this phenomenon, we consider the competition-diffusion system of $k$ differential equations \[ -\Delta…

Analysis of PDEs · Mathematics 2021-03-12 Flavia Lanzara , Eugenio Montefusco

Our interest here is to find the invader in a two species, diffusive and competitive Lotka-Volterra system in the particular case of travelling wave solutions. We investigate the role of diffusion in homogeneous domains. We might expect a…

Analysis of PDEs · Mathematics 2015-07-01 Léo Girardin , Grégoire Nadin