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We propose a simple stochastic model of market behavior. Dividing market participants into two groups: trend-followers and fundamentalists, we derive the general form of a stochastic equation of market dynamics. The model has two…

统计力学 · 物理学 2008-12-02 Guennadi Saiko

We are living in an uncertain and dynamically changing world, where optimal decision-making under uncertainty is directly linked to the survival of species. However, evolutionary selection pressures that shape value-based decision-making…

种群与进化 · 定量生物学 2018-04-04 Erdem Pulcu

The influence of the past price behaviour on the realized volatility is investigated in the present article. The results show that trending (drifting) prices lead to increased (decreased) realized volatility. This ``volatility induced by…

其他凝聚态物理 · 物理学 2008-12-02 Gilles Zumbach

Financial price changes obey two universal properties: they follow a power law and they tend to be clustered in time. The second regularity, known as volatility clustering, entails some predictability in the price changes: while their sign…

统计金融 · 定量金融 2017-01-02 Sabiou Inoua

In this review article we explore several recent advances in the quantitative modeling of financial markets. We begin with the Efficient Markets Hypothesis and describe how this controversial idea has stimulated a number of new directions…

adap-org · 物理学 2009-10-31 J. Doyne Farmer , Andrew W. Lo

In this chapter we review some recent results on the dynamics of price formation in financial markets and its relations with the efficient market hypothesis. Specifically, we present the limit order book mechanism for markets and we…

交易与市场微观结构 · 定量金融 2017-08-24 Paolo Barucca , Fabrizio Lillo

In a financial market, for agents with long investment horizons or at times of severe market stress, it is often changes in the asset price that act as the trigger for transactions or shifts in investment position. This suggests the use of…

交易与市场微观结构 · 定量金融 2015-05-13 H. Lamba

We present a novel microscopic stock market model consisting of a large number of random agents modeling traders in a market. Each agent is characterized by a set of parameters that serve to make iterated predictions of two successive…

适应与自组织系统 · 物理学 2009-11-07 R. Rothenstein , K. Pawelzik

We study the problem of optimal long term portfolio selection with a view to beat a benchmark. Two kinds of objectives are considered. One concerns the probability of outperforming the benchmark and seeks either to minimise the decay rate…

概率论 · 数学 2017-12-04 Anatolii A. Puhalskii

Functions or 'functionings' enable to give a structure to any activity and their combinations constitute the capabilities which characterize economic assets such as work utility. The basic law of supply and demand naturally emerges from…

综合经济学 · 经济学 2020-07-29 Emmanuel Chauvet

Trend and Value are pervasive anomalies, common to all financial markets. We address the problem of their co-existence and interaction within the framework of Heterogeneous Agent Based Models (HABM). More specifically, we extend the…

统计金融 · 定量金融 2018-08-01 Adam Majewski , Stefano Ciliberti , Jean-Philippe Bouchaud

In financial markets, the order flow, defined as the process assuming value one for buy market orders and minus one for sell market orders, displays a very slowly decaying autocorrelation function. Since orders impact prices, reconciling…

统计金融 · 定量金融 2015-06-19 Damian Eduardo Taranto , Giacomo Bormetti , Fabrizio Lillo

We analyze the stability properties of equilibrium solutions and periodicity of orbits in a two-dimensional dynamical system whose orbits mimic the evolution of the price of an asset and the excess demand for that asset. The construction of…

动力系统 · 数学 2009-09-29 Vladimir Belitsky , Antonio L. Pereira , Fernando P. de Almeida Prado

Estimating market impact and transaction costs of large trades (metaorders) is a very important topic in finance. However, using models of price and trade based on public market data provide average price trajectories which are…

交易与市场微观结构 · 定量金融 2025-12-04 Manuel Naviglio , Giacomo Bormetti , Francesco Campigli , German Rodikov , Fabrizio Lillo

By incorporating market impact and momentum traders into an agent-based model, we investigate the conditions for the occurrence of self-reinforcing feedback loops and the coevolutionary mechanism of prices and strategies. For low market…

物理与社会 · 物理学 2017-12-06 Li-Xin Zhong , Wen-Juan Xu , Rong-Da Chen , Chen-Yang Zhong , Tian Qiu , Fei Ren , Yun-Xing He

We discuss - in what is intended to be a pedagogical fashion - a criterion, which is a lower bound on a certain ratio, for when a stock (or a similar instrument) is not a good investment in the long term, which can happen even if the…

风险管理 · 定量金融 2017-08-01 Zura Kakushadze

Historical trends suggest the decline in importance of land as a production factor but its continued importance as a store of value. Using an overlapping generations model with land and aggregate uncertainty, we theoretically study the…

理论经济学 · 经济学 2025-07-11 Tomohiro Hirano , Alexis Akira Toda

We start with the idea that open quantum systems can be used to represent financial markets by modelling events from the external environment and their impact on the market price. We show how to characterize distinct orbits of the time…

数理金融 · 定量金融 2025-05-05 Will Hicks

In this paper we explain the wild fluctuations of financial prices from the intrinsic amplifying feedback of speculative supply and demand. Formally, we show that an asset return follows a multiplicative random growth with exogenous input,…

统计金融 · 定量金融 2015-08-11 Sabiou Inoua

We develop a tractable macroeconomic model that captures dynamic behaviors across multiple timescales, including business cycles. The model is anchored in a dynamic capital demand framework reflecting an interactions-based process whereby…

综合经济学 · 经济学 2022-09-08 Karl Naumann-Woleske , Michael Benzaquen , Maxim Gusev , Dimitri Kroujiline