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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

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

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

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 the mean-field game price formation model introduced by Gomes and Sa\'ude. In this MFG model, agents trade a commodity whose supply can be deterministic or stochastic. Agents maximize profit, taking into account current and…

数值分析 · 数学 2022-04-05 Yuri Ashrafyan , Tigran Bakaryan , Diogo Gomes , Julian Gutierrez

This paper studies an asset pricing model in a partially observable market with a large number of heterogeneous agents using the mean field game theory. In this model, we assume that investors can only observe stock prices and must infer…

证券定价 · 定量金融 2025-04-02 Masashi Sekine

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

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

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

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

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 propose a machine learning method to solve a mean-field game price formation model with common noise. This involves determining the price of a commodity traded among rational agents subject to a market clearing condition imposed by…

最优化与控制 · 数学 2023-05-30 Diogo Gomes , Julian Gutierrez , Mathieu Laurière

We propose two novel frameworks to study the price formation of an asset negotiated in an order book. Specifically, we develop a game-theoretic model in many-person games and mean-field games, considering costs stemming from limited…

交易与市场微观结构 · 定量金融 2022-02-24 David Evangelista , Yuri Saporito , Yuri Thamsten

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…

数理金融 · 定量金融 2022-02-15 Masaaki Fujii , Akihiko Takahashi

Traditional solvable game theory and mean-field-type game theory (risk-aware games) predominantly focus on quadratic costs due to their analytical tractability. Nevertheless, they often fail to capture critical non-linearities inherent in…

最优化与控制 · 数学 2025-05-09 Julian Barreiro-Gomez , Tyrone E. Duncan , Bozenna Pasik-Duncan , Hamidou Tembine

We study a dynamic asset pricing problem in which a representative agent is ambiguous about the aggregate endowment growth rate and trades a risky stock, human capital, and a risk-free asset to maximize her preference value of consumption…

证券定价 · 定量金融 2025-12-04 Jiacheng Fan , Xue Dong He , Ruocheng Wu

Even when confronted with the same data, agents often disagree on a model of the real-world. Here, we address the question of how interacting heterogenous agents, who disagree on what model the real-world follows, optimize their trading…

数理金融 · 定量金融 2019-12-13 Philippe Casgrain , Sebastian Jaimungal

In this paper, we propose an equilibrium pricing model in a dynamic multi-period stochastic framework with uncertain income streams. In an incomplete market, there exist two traded risky assets (e.g. stock/commodity and weather derivative)…

最优化与控制 · 数学 2012-05-29 Traian A. Pirvu , Huayue Zhang

We construct Nash-equilibria in mean-field portfolio games of optimal investment and hedging under relative performance concerns with exponential (CARA) utility preferences. Common noise dynamics are modeled by integer-valued random…

最优化与控制 · 数学 2026-01-08 Dirk Becherer , Stefanie Hesse
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