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We consider a multi-stock continuous time incomplete market model with random coefficients. We study the investment problem in the class of strategies which do not use direct observations of the appreciation rates of the stocks, but rather…

Mathematical Finance · Quantitative Finance 2015-02-10 Nikolai Dokuchaev

We consider the problem of maximizing portfolio value when an agent has a subjective view on asset value which differs from the traded market price. The agent's trades will have a price impact which affect the price at which the asset is…

Mathematical Finance · Quantitative Finance 2020-10-13 Ryan Donnelly , Matthew Lorig

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…

Pricing of Securities · Quantitative Finance 2025-04-02 Masashi Sekine

This paper investigates the optimal investment problem in a market with two types of illiquidity: transaction costs and search frictions. Extending the framework established by arXiv:2101.09936, we analyze a power-utility maximization…

Mathematical Finance · Quantitative Finance 2025-07-22 Tae Ung Gang , Jin Hyuk Choi

This paper links matching markets with aligned preferences to optimal transport theory. We show that stability, efficiency, and fairness emerge as solutions to a parametric family of optimal transport problems. The parameter reflects…

Theoretical Economics · Economics 2025-03-17 Federico Echenique , Joseph Root , Fedor Sandomirskiy

We consider two risk-averse financial agents who negotiate the price of an illiquid indivisible contingent claim in an incomplete semimartingale market environment. Under the assumption that the agents are exponential utility maximizers…

Pricing of Securities · Quantitative Finance 2008-12-02 Michail Anthropelos , Gordan Zitkovic

We show that a large effective number of commodities can be a source of equilibrium stability and uniqueness: expanding substitution opportunities strengthens aggregate substitution effects. We study finite dated-commodity exchange…

Theoretical Economics · Economics 2026-05-05 Xinyang Wang

We prove the Fundamental Theorem of Asset Pricing for a discrete time financial market where trading is subject to proportional transaction cost and the asset price dynamic is modeled by a family of probability measures, possibly…

Probability · Mathematics 2015-09-01 Erhan Bayraktar , Yuchong Zhang

In this paper, we investigate an optimal investment and consumption problem for an investor who trades in a Black--Scholes financial market with stochastic coefficients driven by a non-Gaussian Ornstein--Uhlenbeck process. We assume that an…

Pricing of Securities · Quantitative Finance 2008-12-18 Łukasz Delong , Claudia Klüppelberg

We investigate the effects of the social interactions of a finite set of agents on an equilibrium pricing mechanism. A derivative written on non-tradable underlyings is introduced to the market and priced in an equilibrium framework by…

Mathematical Finance · Quantitative Finance 2017-02-14 Jana Bielagk , Arnaud Lionnet , Goncalo Dos Reis

We study two-sided many-to-one matching markets with transferable utilities, e.g., labor and rental housing markets, in which money can exchange hands between agents, subject to distributional constraints on the set of feasible allocations.…

Theoretical Economics · Economics 2022-04-26 Devansh Jalota , Michael Ostrovsky , Marco Pavone

We consider two market designs for a network of prosumers, trading energy: (i) a centralized design which acts as a benchmark, and (ii) a peer-to-peer market design. High renewable energy penetration requires that the energy market design…

Computer Science and Game Theory · Computer Science 2020-04-07 Ilia Shilov , Hélène Le Cadre , Ana Busic

We extend to the multi-asset case the framework of a discrete time model of a single asset financial market developed in Ghoulmie et al (2005). In particular, we focus on adaptive agents with threshold behavior allocating their resources…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 F. Ghoulmié , M. Bartolozzi , C. P. Mellen , T. Di Matteo

We revisit the problem of maximizing expected logarithmic utility from consumption over an infinite horizon in the Black-Scholes model with proportional transaction costs, as studied in the seminal paper of Davis and Norman [Math. Operation…

Portfolio Management · Quantitative Finance 2011-08-29 Stefan Gerhold , Johannes Muhle-Karbe , Walter Schachermayer

Interference between treated and untreated units is a source of bias in marketplace experiments. In this paper, we specifically consider pricing interventions, in which a platform seeks to adjust base pricing levels at the marketplace level…

Optimization and Control · Mathematics 2025-02-27 Arthur Delarue , Kleanthis Karakolios

A financial market comprising of a certain number of distinct companies is considered, and the following statement is proved: either a specific agent will surely beat the whole market unconditionally in the long run, or (and this "or" is…

General Finance · Quantitative Finance 2010-12-30 Constantinos Kardaras

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

We present a model that investigates the spontaneous emergence of randomness in equity market microstructure. The phase space analysis of our model exposes an endogenous source of fluctuation in price and volume. We formulate a control…

Probability · Mathematics 2008-12-02 Ted Theodosopoulos , Muffasir Badshah

We construct an utility-based dynamic asset pricing model for a limit order market. The price is nonlinear in volume and subject to market impact. We solve an optimal hedging problem under the market impact and derive the dynamics of the…

Pricing of Securities · Quantitative Finance 2014-10-31 Masaaki Fukasawa

We study the most famous example of a large financial market: the Arbitrage Pricing Model, where investors can trade in a one-period setting with countably many assets admitting a factor structure. We consider the problem of maximising…

Portfolio Management · Quantitative Finance 2020-10-06 Laurence Carassus , Miklos Rasonyi