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We study very simple sorting algorithms based on a probabilistic comparator model. In our model, errors in comparing two elements are due to (1) the energy or effort put in the comparison and (2) the difference between the compared…

Data Structures and Algorithms · Computer Science 2018-05-16 Barbara Geissmann , Paolo Penna

Firms compete for clients, creating distributions of market shares ranging from domination by a few giant companies to markets in which there are many small firms. These market structures evolve in time, and may remain stable for many years…

Physics and Society · Physics 2024-01-09 Joseph Hickey

We consider an economy made of competing firms which are heterogeneous in their capital and use several inputs for producing goods. Their consumption policy is fixed rationally by maximizing a utility and their capital cannot fall below a…

Analysis of PDEs · Mathematics 2022-07-13 Yves Achdou , Guillaume Carlier , Quentin Petit , Daniela Tonon

Classic market design theory is rooted in static models where all participants trade simultaneously. In contrast, modern platform-mediated digital markets are fundamentally dynamic, defined by the asynchronous and stochastic arrival of…

Theoretical Economics · Economics 2026-01-05 Yeon-Koo Che

We study size and growth distributions of products and business firms in the context of a given industry. Firm size growth is analyzed in terms of two basic mechanisms, i.e. the increase of the number of new elementary business units and…

Condensed Matter · Physics 2009-11-10 G. De Fabritiis , F. Pammolli , M. Riccaboni

We consider a sharing economy network where agents embedded in a graph share their resources. This is a fundamental model that abstracts numerous emerging applications of collaborative consumption systems. The agents generate a random…

Computer Science and Game Theory · Computer Science 2017-03-29 Leonidas Georgiadis , George Iosifidis , Leandros Tassiulas

A large literature has documented transitivity as a key feature of social networks: individuals are more likely connected with each other if they share common connections with other individuals. We take this idea to trading relationships…

General Economics · Economics 2025-12-23 Alejandra Martinez , Dennis Novy , Carlo Perroni

Standard micro-economics concentrate on the description of markets but is seldom interested in production. Several economists discussed the concept of a firm, as opposed to an open labour market where entrepreneurs would recrute workers on…

General Finance · Quantitative Finance 2008-12-02 G. Weisbuch , D. Stauffer , D. Mangalagiu , R. Ben-Av , S. Solomon

We study models of regulatory breakup, in the spirit of Strong and Fouque [Ann. Finance 7 (2011) 349-374] but with a fluctuating number of companies. An important class of market models is based on systems of competing Brownian particles:…

Probability · Mathematics 2016-06-23 Ioannis Karatzas , Andrey Sarantsev

We propose a framework to assess how to optimally sort and grade students of heterogenous ability. Potential employers face uncertainty regarding an individual's productive value. Knowing which school an individual went to is useful for two…

Theoretical Economics · Economics 2024-02-06 Jacopo Bizzotto , Adrien Vigier

We propose and analyze numerically a simple dynamical model that describes the firm behaviors under uncertainty of demand forecast. Iterating this simple model and varying some parameters values we observe a wide variety of market dynamics…

General Finance · Quantitative Finance 2017-11-22 Asaf Levi , Juan Sabuco , Miguel A. F. Sanjuan

We study learning dynamics in distributed production economies such as blockchain mining, peer-to-peer file sharing and crowdsourcing. These economies can be modelled as multi-product Cournot competitions or all-pay auctions (Tullock…

Computer Science and Game Theory · Computer Science 2021-03-18 Yun Kuen Cheung , Stefanos Leonardos , Georgios Piliouras

In sorting literature, comparative statics for multidimensional assignment models with general output functions and input distributions is an important open question. We provide a complete theory of comparative statics for technological…

General Economics · Economics 2025-12-12 Job Boerma , Andrea Ottolini , Aleh Tsyvinski

Markets have internal dynamics leading to excess volatility and other phenomena that are difficult to explain using rational expectations models. This paper studies these using a nonequilibrium price formation rule, developed in the context…

adap-org · Physics 2015-06-30 J. Doyne Farmer

We consider a cooperative game defined by an economic lot-sizing problem with heterogeneous costs over a finite time horizon, in which each firm faces demand for a single product in each period and coalitions can pool orders. The model of…

Systems and Control · Electrical Eng. & Systems 2024-02-06 Luis Guardiola , Ana Meca , Justo Puerto

The transient fluctuation of the prosperity of firms in a network economy is investigated with an abstract stochastic model. The model describes the profit which firms make when they sell materials to a firm which produces a product and the…

Molecular Networks · Quantitative Biology 2013-07-19 Yoshiharu Maeno

I study how organisations choose selection procedures in a competitive environment. Two firms compete to hire candidates of unknown productivity from a common pool. Firms simultaneously post a selection procedure which consists of a test…

Theoretical Economics · Economics 2026-05-01 Nathan Hancart

We consider an occupation market in which preferences of members are treated as non linear general increasing functions. The arrangement of members is separated into two non over-lapping sets, set of workers and set of firms. We consider…

Optimization and Control · Mathematics 2017-03-07 Yasir Ali , Baqar Ali

A simple mechanism for allocating indivisible resources is sequential allocation in which agents take turns to pick items. We focus on possible and necessary allocation problems, checking whether allocations of a given form occur in some or…

Artificial Intelligence · Computer Science 2014-12-09 Haris Aziz , Toby Walsh , Lirong Xia

This paper introduces an assignment model with concave costs of skill gaps, which arise generally when firms mitigate costs of mismatch as in Stigler (1939) and Laffont and Tirole (1986, 1991). Concave costs of skill gaps imply that the…

General Economics · Economics 2025-06-03 Job Boerma , Aleh Tsyvinski , Ruodu Wang , Zhenyuan Zhang