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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

This paper characterizes the equilibrium in a continuous time financial market populated by heterogeneous agents who differ in their rate of relative risk aversion and face convex portfolio constraints. The model is studied in an…

General Finance · Quantitative Finance 2018-06-19 Tyler Abbot

We consider a combinatorial auction setting where buyers have fractionally subadditive (XOS) valuations over the items and the seller's objective is to maximize the social welfare. A prophet inequality in this setting bounds the competitive…

Computer Science and Game Theory · Computer Science 2025-05-23 Shuchi Chawla , Trung Dang , Zhiyi Huang , Yifan Wang

In electricity markets, customers are increasingly constrained by their budgets. A budget constraint for a user is an upper bound on the price multiplied by the quantity. However, since prices are determined by the market equilibrium, the…

Computer Science and Game Theory · Computer Science 2026-03-24 Lila Perkins , Baosen Zhang

Dynamic facility location problems predominantly suppose a monopoly over the service or product provided. Nonetheless, this premise can be a severe oversimplification in the presence of market competitors, as customers may prefer facilities…

Optimization and Control · Mathematics 2026-02-20 Warley Almeida Silva , Margarida Carvalho , Sanjay Dominik Jena

We consider the problem of reducing the carbon emissions of a set of firms over a finite horizon. A regulator dynamically allocates emission allowances to each firm. Firms face idiosyncratic as well as common economic shocks on emissions,…

General Economics · Economics 2021-02-25 René Aïd , Sara Biagini

The optimal (`equilibrium') macroscopic properties of an economy with $N$ industries endowed with different technologies, $P$ commodities and one consumer are derived in the limit $N\to\infty$ with $n=N/P$ fixed using the replica method.…

Disordered Systems and Neural Networks · Physics 2008-12-02 A. De Martino , M. Marsili , I. Perez Castillo

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

Static stability in economic models means negative incentives for deviation from equilibrium strategies, which we expect to assure a return to equilibrium, i.e., dynamic stability, as long as agents respond to incentives. There have been…

Optimization and Control · Mathematics 2023-10-13 Dai Zusai

This paper describes an agent-based model of interacting firms, in which interacting firm agents rationally invest capital and labor in order to maximize payoff. Both transactions and production are taken into account in this model. First,…

Physics and Society · Physics 2009-11-13 Yuichi Ikeda , Hideaki Aoyama , Hiroshi Iyetomi , Yoshi Fujiwara , Wataru Souma , Taisei Kaizoji

In both finance and economics, quantitative models are usually studied as isolated mathematical objects --- most often defined by very strong simplifying assumptions concerning rationality, efficiency and the existence of disequilibrium…

General Finance · Quantitative Finance 2010-10-04 Harbir Lamba

We consider the situation where multiple transportation service providers cooperate to offer an integrated multi-modal platform to enhance the convenience to the passengers through ease in multi-modal journey planning, payment, and first…

Systems and Control · Electrical Eng. & Systems 2022-06-29 Yuntian Deng , Shiping Shao , Archak Mittal , Richard Twumasi-Boakye , James Fishelson , Abhishek Gupta , Ness B. Shroff

Diversification is usually viewed as a reliable way to reduce risk, yet it can dramatically fail for heavy-tailed losses with infinite mean: pooling independent losses of this type may increase tail risk at every threshold. We study this…

Risk Management · Quantitative Finance 2026-03-11 Léonard Vincent

Dynamic logit models are popular tools in economics to measure state dependence. This paper introduces a new method to derive moment restrictions in a large class of such models with strictly exogenous regressors and fixed effects. We…

Econometrics · Economics 2023-12-05 Kevin Dano

Network effects are the added value derived solely from the popularity of a product in an economic market. Using agent-based models inspired by statistical physics, we propose a minimal theory of a competitive market for (nearly)…

Statistical Mechanics · Physics 2023-05-31 Andrew Lucas

We study oligopolistic competition in service markets where firms offer a service to customers. The service quality of a firm - from the perspective of a customer - depends on the congestion and the charged price. A firm can set a price for…

Computer Science and Game Theory · Computer Science 2020-01-30 Tobias Harks , Anja Schedel

It has been assumed that arbitrage profits are not possible in efficient markets, because future prices are not predictable. Here we show that predictability alone is not a sufficient measure of market efficiency. We instead propose to…

Statistical Mechanics · Physics 2009-11-10 R. Rothenstein , K. Pawelzik

In multi-period stochastic optimization problems, the future optimal decision is a random variable whose distribution depends on the parameters of the optimization problem. We analyze how the expected value of this random variable changes…

Optimization and Control · Mathematics 2020-01-28 Bar Light

We have used agent-based modeling as our numerical method to artificially simulate a dynamic real economy where agents are rational maximizers of an objective function of Cobb-Douglas type. The economy is characterised by heterogeneous…

Theoretical Economics · Economics 2024-01-17 Subhamon Supantha , Naresh Kumar Sharma

We formulate a continuous-time competitive equilibrium model of irreversible capacity investment in which a continuum of heterogeneous producers supplies a single non-durable good subject to exogenous stochastic demand. Each producer…

Probability · Mathematics 2025-12-04 Constantinos Kardaras , Alexandros Pavlis , Mihail Zervos
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