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In this work, we develop an equilibrium model for price formation of securities in a market composed of two populations of different types: the first one consists of cooperative agents, while the other one consists of non-cooperative…

数理金融 · 定量金融 2023-06-22 Masaaki Fujii

We study an equilibrium-based continuous asset pricing problem for the securities market. In the previous work [16], we have shown that a certain price process, which is given by the solution to a forward backward stochastic differential…

数理金融 · 定量金融 2021-12-13 Masaaki Fujii , Akihiko Takahashi

In this work, we study an equilibrium-based continuous asset pricing problem which seeks to form a price process endogenously by requiring it to balance the flow of sales-and-purchase orders in the exchange market, where a large number of…

数理金融 · 定量金融 2021-09-28 Masaaki Fujii , Akihiko Takahashi

Financial firms and institutional investors are routinely evaluated based on their performance relative to their peers. These relative performance concerns significantly influence risk-taking behavior and market dynamics. While the…

数理金融 · 定量金融 2025-12-29 Masaaki Fujii

In this paper, using the mean-field game theory, we study a problem of equilibrium price formation among many investors with exponential utility in the presence of liabilities unspanned by the security prices. The investors are…

数理金融 · 定量金融 2025-01-07 Masaaki Fujii , Masashi Sekine

We consider a market where a finite number of players trade an asset whose supply is a stochastic process. The price formation problem consists of finding a price process that ensures that when agents act optimally to minimize their trading…

偏微分方程分析 · 数学 2022-08-15 Diogo Gomes , Julian Gutierrez , Ricardo Ribeiro

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…

概率论 · 数学 2026-05-06 Alekos Cecchin , Markus Fischer , Claudio Fontana , Giacomo Lanaro

In this paper, we propose a mean-field game model for the price formation of a commodity whose production is subjected to random fluctuations. The model generalizes existing deterministic price formation models. Agents seek to minimize…

偏微分方程分析 · 数学 2020-03-05 Diogo Gomes , Julian Gutierrez , Ricardo Ribeiro

We consider a market model that consists of financial investors and producers of a commodity. Producers optionally store some production for future sale and go short on forward contracts to hedge the uncertainty of the future commodity…

经济学 · 定量金融 2017-01-24 Michail Anthropelos , Michael Kupper , Antonis Papapantoleon

This paper presents an asset pricing model in an incomplete market involving a large number of heterogeneous agents based on the mean field game theory. In the model, we incorporate habit formation in consumption preferences, which has been…

数理金融 · 定量金融 2024-11-13 Masaaki Fujii , Masashi Sekine

This paper deals with a stochastic order-driven market model with waiting costs, for order books with heterogenous traders. Offer and demand of liquidity drives price formation and traders anticipate future evolutions of the order book. The…

交易与市场微观结构 · 定量金融 2015-08-11 Aimé Lachapelle , Jean-Michel Lasry , Charles-Albert Lehalle , Pierre-Louis Lions

We study a large economy in which firms cannot compute exact solutions to the non-linear equations that characterize the equilibrium price at which they can sell future output. Instead, firms use polynomial expansions to approximate prices.…

经济学 · 定量金融 2016-11-08 Wolfgang Kuhle

We study a financial model with a non-trivial price impact effect. In this model we consider the interaction of a large investor trading in an illiquid security, and a market maker who is quoting prices for this security. We assume that the…

证券定价 · 定量金融 2010-07-21 David German

We formulate an equilibrium model of intraday trading in electricity markets. Agents face balancing constraints between their customers consumption plus intraday sales and their production plus intraday purchases. They have continuously…

计算金融 · 定量金融 2020-10-20 René Aid , Andrea Cosso , Huyên Pham

This work solves the equilibrium price formation problem for the risky stock by combining mean-field game theory with the binomial tree framework, adapting the classic approach of Cox, Ross \& Rubinstein. For agents with exponential and…

数理金融 · 定量金融 2025-12-23 Masaaki Fujii

The existence of a (partial) market equilibrium price is proved in a complete, continuous time finite-agent market setting. The economic agents act as price takers in a fully competitive setting and maximize exponential utility from…

数理金融 · 定量金融 2022-12-01 Alessandro Prosperi

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…

数理金融 · 定量金融 2018-01-04 Johannes Muhle-Karbe , Marcel Nutz

We study price formation in intraday electricity markets in the presence of intermittent renewable generation. We consider the setting where a major producer may interact strategically with a large number of small producers. Using…

证券定价 · 定量金融 2020-11-17 Olivier Féron , Peter Tankov , Laura Tinsi

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…

数理金融 · 定量金融 2020-03-26 Johannes Muhle-Karbe , Marcel Nutz , Xiaowei Tan

This thesis develops equilibrium asset pricing models in incomplete markets with a large number of heterogeneous agents using mean field game theory. The market equilibrium is characterized by a novel form of mean field backward stochastic…

数理金融 · 定量金融 2026-03-24 Masashi Sekine
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