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We study two classes of over-the-counter markets specified by systems of ODE's, in the spirit of Duffie-Garleanu-Pedersen, Econometrica, 2005. We first compute the steady states for many of these ODE's. Then we obtain the prices at which…

Computational Finance · Quantitative Finance 2013-08-14 Alain Bélanger , Gaston Giroux , Miguel Moisan-Poisson

In this article, we consider the problem of equilibrium price formation in an incomplete securities market consisting of one major financial firm and a large number of minor firms. They carry out continuous trading via the securities…

Mathematical Finance · Quantitative Finance 2022-02-15 Masaaki Fujii , Akihiko Takahashi

The problem of allocating scarce items to individuals is an important practical question in market design. An increasingly popular set of mechanisms for this task uses the concept of market equilibrium: individuals report their preferences,…

Computer Science and Game Theory · Computer Science 2019-12-11 Riley Murray , Christian Kroer , Alex Peysakhovich , Parikshit Shah

We study the formation of derivative prices in equilibrium between risk-neutral agents with heterogeneous beliefs about the dynamics of the underlying. Under the condition that the derivative cannot be shorted, we prove the existence of a…

Mathematical Finance · Quantitative Finance 2018-01-04 Johannes Muhle-Karbe , Marcel Nutz

The price-bubble and crash process formation is theoretically investigated in a two-asset equilibrium model. Sufficient and necessary conditions are derived for the existence of average equilibrium price dynamics of different agent-based…

Trading and Market Microstructure · Quantitative Finance 2024-09-06 Francesco Cordoni

This paper analyzes the role of money in asset markets characterized by search frictions. We develop a dynamic framework that brings together a model for illiquid financial assets `a la Duffie, Garleanu, and Pedersen, and a search-theoretic…

Theoretical Economics · Economics 2019-09-05 Athanasios Geromichalos , Juan M. Licari , Jose Suarez-Lledo

We study equilibrium in hedonic markets, when consumers and suppliers have reservation utilities, and the utility functions are separable with respect to price. There is one indivisible good, which comes in different qualities; each…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 Ivar Ekeland

Providing a measure of market risk is an important issue for investors and financial institutions. However, the existing models for this purpose are per definition symmetric. The current paper introduces an asymmetric capital asset pricing…

Pricing of Securities · Quantitative Finance 2024-05-07 Abdulnasser Hatemi-J

We solve in closed-form an equilibrium model in which a finite number of exponential investors continuously consume and trade with price-impact. Compared to the analogous Pareto-efficient equilibrium model, price-impact has an amplification…

Mathematical Finance · Quantitative Finance 2020-06-03 Xiao Chen , Jin Hyuk Choi , Kasper Larsen , Duane J. Seppi

We consider a continuous-time financial market with an asset whose price is modeled by a linear stochastic differential equation with drift and volatility switching driven by a uniformly ergodic jump Markov process with a countable state…

Probability · Mathematics 2025-01-14 Vitaliy Golomoziy , Kamil Kladivko , Yuliya Mishura

We prove existence and uniqueness of stochastic equilibria in a class of incomplete continuous-time financial environments where the market participants are exponential utility maximizers with heterogeneous risk-aversion coefficients and…

General Finance · Quantitative Finance 2010-06-02 Gordan Zitkovic

We propose a pseudo-market solution to resource allocation problems subject to constraints. Our treatment of constraints is general: including bihierarchical constraints due to considerations of diversity in school choice, or scheduling in…

Theoretical Economics · Economics 2020-11-09 Federico Echenique , Antonio Miralles , Jun Zhang

This work presents an asset pricing model that under rational expectation equilibrium perspective shows how, depending on risk aversion and noise volatility, a risky-asset has one equilibrium price that differs in term of efficiency: an…

General Finance · Quantitative Finance 2014-09-18 Matteo Formenti

We develop a stochastic equilibrium model for an electricity market with asymmetric renewable energy forecasts. In our setting, market participants optimize their profits using public information about a conditional expectation of energy…

Optimization and Control · Mathematics 2020-05-26 Vladimir Dvorkin , Jalal Kazempour , Pierre Pinson

We study a discrete-time financial market with a single constrained trader, competitive market makers, and noise traders. Within the class of linear equilibria, the equilibrium structure is shown to be uniquely determined by two state…

Mathematical Finance · Quantitative Finance 2025-08-15 Heeyoung Kwon , Jin Hyuk Choi

We study the continuous time Kyle-Back model with a risk averse informed trader.We show that in a market with multiple assets and non-Gaussian prices an equilibrium exists. The equilibrium is constructed by considering a Fokker-Planck…

Probability · Mathematics 2021-11-04 Shreya Bose , Ibrahim Ekren

This paper characterizes equilibrium properties of a broad class of economic models that allow multiple heterogeneous agents to interact in heterogeneous manners across several markets. Our key contribution is a new theorem providing…

General Economics · Economics 2022-09-07 Patrizio Bifulco , Jochen Glück , Oliver Krebs , Bohdan Kukharskyy

We study a risk-sharing economy where an arbitrary number of heterogenous agents trades an arbitrary number of risky assets subject to quadratic transaction costs. For linear state dynamics, the forward-backward stochastic differential…

General Finance · Quantitative Finance 2020-11-30 Johannes Muhle-Karbe , Xiaofei Shi , Chen Yang

We investigate how asymmetric information affects equilibrium price formation in an economy with many interacting agents. Motivated by a finite-player model with two populations of asymmetrically informed agents, we study its mean-field…

Probability · Mathematics 2026-05-06 Alekos Cecchin , Markus Fischer , Claudio Fontana , Giacomo Lanaro

This paper studies the equilibrium price of an asset that is traded in continuous time between N agents who have heterogeneous beliefs about the state process underlying the asset's payoff. We propose a tractable model where agents maximize…

Mathematical Finance · Quantitative Finance 2020-03-26 Johannes Muhle-Karbe , Marcel Nutz , Xiaowei Tan