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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

A market with asymmetric information can be viewed as a repeated exchange game between the informed sector and the uninformed one. In a market with risk-neutral agents, De Meyer [2010] proves that the price process should be a particular…

最优化与控制 · 数学 2017-01-13 Bernard De Meyer , Gaëtan Fournier

In this paper we consider the problem of the quantile hedging from the point of view of a better informed agent acting on the market. The additional knowledge of the agent is modelled by a filtration initially enlarged by some random…

概率论 · 数学 2008-12-02 Przemyslaw Klusik , Zbigniew Palmowski , Jakub Zwierz

Volume imbalance in a limit order book is often considered as a reliable indicator for predicting future price moves. In this work, we seek to analyse the nuances of the relationship between prices and volume imbalance. To this end, we…

交易与市场微观结构 · 定量金融 2024-07-24 Sergio Pulido , Mathieu Rosenbaum , Emmanouil Sfendourakis

In this paper we present an interacting-agent model of stock markets. We describe a stock market through an Ising-like model in order to formulate the tendency of traders getting to be influenced by the other traders' investment attitudes…

物理与社会 · 物理学 2013-09-11 Taisei Kaizoji

Given a stock price process, we analyse the potential of arbitrage by insiders in a context of short-selling prohibitions. We introduce the notion of minimal supermartingale measure, and we analyse its properties in connection to the…

数理金融 · 定量金融 2022-01-13 Delia Coculescu , Aditi Dandapani

We study arbitrage opportunities, market viability and utility maximization in market models with an insider. Assuming that an economic agent possesses from the beginning an additional information in the form of a random variable G, which…

风险管理 · 定量金融 2016-10-03 Ngoc Huy Chau , Wolfgang Runggaldier , Peter Tankov

Large variations in stock prices happen with sufficient frequency to raise doubts about existing models, which all fail to account for non-Gaussian statistics. We construct simple models of a stock market, and argue that the large…

凝聚态物理 · 物理学 2015-06-25 P. Bak , M. Paczuski , M. Shubik

We develop a new market-making model, from the ground up, which is tailored towards high-frequency trading under a limit order book (LOB), based on the well-known classification of order types in market microstructure. Our flexible…

交易与市场微观结构 · 定量金融 2020-01-31 Baron Law , Frederi Viens

We study a dynamic market setting where an intermediary interacts with an unknown large sequence of agents that can be either sellers or buyers: their identities, as well as the sequence length $n$, are decided in an adversarial, online…

计算机科学与博弈论 · 计算机科学 2017-03-29 Yiannis Giannakopoulos , Elias Koutsoupias , Philip Lazos

If you recommend a product to me and I buy it, how much should you be paid by the seller? And if your sole interest is to maximize the amount paid to you by the seller for a sequence of recommendations, how should you recommend optimally if…

计算机科学与博弈论 · 计算机科学 2009-11-10 Paul Dütting , Monika Henzinger , Ingmar Weber

Quantum theory is used to model secondary financial markets. Contrary to stochastic descriptions, the formalism emphasizes the importance of trading in determining the value of a security. All possible realizations of investors holding…

物理与社会 · 物理学 2009-11-07 Martin Schaden

We study a continuous time economy where throughout time, insiders receive private signals regarding the risky assets' terminal payoff. We prove existence of a partial communication equilibrium where, at each private signal time, the public…

证券定价 · 定量金融 2024-03-21 Scott Robertson

We present results on simulations of a stock market with heterogeneous, cumulative information setup. We find a non-monotonic behaviour of traders' returns as a function of their information level. Particularly, the average informed agents…

交易与市场微观结构 · 定量金融 2008-12-02 Bence Toth , Enrico Scalas

We develop a theory for the market impact of large trading orders, which we call metaorders because they are typically split into small pieces and executed incrementally. Market impact is empirically observed to be a concave function of…

交易与市场微观结构 · 定量金融 2013-09-30 J. Doyne Farmer , Austin Gerig , Fabrizio Lillo , Henri Waelbroeck

We construct a model of an exchange economy in which agents trade assets contingent on an observable signal, the probability of which depends on public opinion. The agents in our model are replaced occasionally and each person updates…

理论经济学 · 经济学 2022-04-28 Jean-Philippe Bouchaud , Roger Farmer

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…

综合金融 · 定量金融 2010-10-04 Harbir Lamba

Linear Fisher market is one of the most fundamental economic models. The market is traditionally examined on the basis of individual's price-taking behavior. However, this assumption breaks in markets such as online advertising and…

计算机科学与博弈论 · 计算机科学 2024-07-17 Juncheng Li , Pingzhong Tang

A new model for stocks markets using integer values for each stock price is presented. In contrast with previously reported models, the variables used in the model are not of binary type, but of more general integer type. It is shown how…

凝聚态物理 · 物理学 2007-05-23 Juan R. Sanchez

With model uncertainty characterized by a convex, possibly non-dominated set of probability measures, the agent minimizes the cost of hedging a path dependent contingent claim with given expected success ratio, in a discrete-time,…

数理金融 · 定量金融 2017-09-29 Erhan Bayraktar , Gu Wang