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Asset Market Dynamics of Heterogeneous Agent Models with Learning

Asset Market Dynamics of Heterogeneous Agent Models with Learning
Author: Yuanying Guan
Publisher:
Total Pages: 104
Release: 2011
Genre:
ISBN:

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ABSTRACT: The standard Lucas asset pricing model makes two common assumptions of homogeneous agents and rational expectations equilibrium. However, these assumptions are unrealistic for real financial markets. In this work, we relax these assumptions and establish a Lucas type agent-based asset pricing model. We create an artificial economy with a single risky asset and populate it with heterogeneous, boundedly rational, utility maximizing, infinitely lived and forward looking agents. We restrict agents' information by allowing them to use only available information when they make optimal choices. With independent, identically distributed market returns, agents are able to compute their policy functions and the equilibrium pricing function with Duffie's method (Duffie, 1988) without perfect information about the market. When agents are out of equilibrium, they simultaneously compute their policy functions with predictive pricing functions and use adaptive learning schemes to learn the motion of the correct pricing function. Agents are able to learn the correct equilibrium pricing function with certain risk and learning parameters. In some other cases, the market price has excess volatility and the trading volume is very high. Simulations of the market behavior show rich dynamics, including a whole cascade from period doubling bifurcations to chaos. We apply the full families theory (De Melo and Van Strien, 1993) to prove that the rich dynamics do not come from numerical errors but are embedded in the structure of our dynamical system.


Computational Economics: Heterogeneous Agent Modeling

Computational Economics: Heterogeneous Agent Modeling
Author: Cars Hommes
Publisher: Elsevier
Total Pages: 836
Release: 2018-06-27
Genre: Business & Economics
ISBN: 0444641327

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Handbook of Computational Economics: Heterogeneous Agent Modeling, Volume Four, focuses on heterogeneous agent models, emphasizing recent advances in macroeconomics (including DSGE), finance, empirical validation and experiments, networks and related applications. Capturing the advances made since the publication of Volume Two (Tesfatsion & Judd, 2006), it provides high-level literature with sections devoted to Macroeconomics, Finance, Empirical Validation and Experiments, Networks, and other applications, including Innovation Diffusion in Heterogeneous Populations, Market Design and Electricity Markets, and a final section on Perspectives on Heterogeneity. Helps readers fully understand the dynamic properties of realistically rendered economic systems Emphasizes detailed specifications of structural conditions, institutional arrangements and behavioral dispositions Provides broad assessments that can lead researchers to recognize new synergies and opportunities


Nonlinear Dynamics and Heterogeneous Interacting Agents

Nonlinear Dynamics and Heterogeneous Interacting Agents
Author: Thomas Lux
Publisher: Springer Science & Business Media
Total Pages: 326
Release: 2006-06-06
Genre: Business & Economics
ISBN: 3540272968

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Economic application of nonlinear dynamics, microscopic agent-based modelling, and the use of artificial intelligence techniques as learning devices of boundedly rational actors are among the most exciting interdisciplinary ventures of economic theory over the past decade. This volume provides us with a most fascinating series of examples on "complexity in action" exemplifying the scope and explanatory power of these innovative approaches.


Long Memory in Financial Markets

Long Memory in Financial Markets
Author: Min Zheng
Publisher:
Total Pages: 29
Release: 2018
Genre:
ISBN:

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During last decades, studies on asset pricing models witnessed a paradigm shift from rational expectation and representative agent to an alternative, behavioral view, where agents are heterogeneous and boundedly rational. In this paper, we model the financial market as an interaction of two types of boundedly rational investors -fundamentalists and chartists. We examine the dynamics of the market price and market behavior, which depend on investors' behavior and the interaction of the two types of investors. Numerical simulations of the corresponding stochastic model demonstrate that the model is able to replicate the stylized facts of financial time series, in particular the long-term dependence (long memory) of asset return volatilities. We further investigate the source of the long memory according to asset pricing mechanism of our model, and provide evidences of long memory by applying the modified R/S analysis. Our results demonstrate that the key parameter that has impact on the long memory is the speed of the price adjustment of the market maker at the equilibrium of demand and supply.


Heterogeneous Agent Models in Financial Markets

Heterogeneous Agent Models in Financial Markets
Author: Xuezhong He
Publisher:
Total Pages: 34
Release: 2018
Genre:
ISBN:

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Studies on financial markets have accumulated consistent evidences of stylized facts and anomalies, which can be characterized by stochastic switching among different co-existing market states but yet difficult to reconcile with traditionally rational expectation theory. When agents are heterogeneous and boundedly rational, recent developments on the role of the adaptive behavior of interacting heterogeneous agents in financial markets have provided a nonlinear dynamics channel to such co-existence of different market states, shedding light into these stylized facts and anomalies. This survey focuses on the nonlinear dynamics approach to model the feedback of evolutionary dynamics of heterogeneous agents and to characterize the underlying mechanisms of the stylized facts and anomalies in financial markets, of which the authors and several coauthors have contributed in several papers.


Agent-Based Modeling

Agent-Based Modeling
Author: Norman Ehrentreich
Publisher: Springer Science & Business Media
Total Pages: 238
Release: 2007-10-30
Genre: Business & Economics
ISBN: 3540738789

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This book reconciles the existence of technical trading with the Efficient Market Hypothesis. By analyzing a well-known agent-based model, the Santa Fe Institute Artificial Stock Market (SFI-ASM), it finds that when selective forces are weak, financial evolution cannot guarantee that only the fittest trading rules will survive. Its main contribution lies in the application of standard results from population genetics which have widely been neglected in the agent-based community.


Heterogeneity, Market Mechanisms, and Asset Price Dynamics

Heterogeneity, Market Mechanisms, and Asset Price Dynamics
Author: Carl Chiarella
Publisher:
Total Pages: 59
Release: 2009
Genre:
ISBN:

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This chapter surveys the boundedly rational heterogeneous agent (BRHA) models of financial markets, to the development of which the authors and several co-authors have contributed in various papers. We give particular emphasis to role of the market clearing mechanism used, the utility function of the investors, the interaction of price and wealth dynamics, portfolio implications, the impact of stochastic elements on the markets dynamics, and calibration of this class of models. Due to agents' behavioural features and market noise, the BRHA models are both nonlinear and stochastic. We show that the BRHA models produce both a locally stable fundamental equilibrium corresponding to that of standard paradigm, as well as instability with a consequent rich range of possible complex behaviours characterised both indirectly by simulation and directly by stochastic bifurcations. A calibrated model is able to reproduce quite well the stylized facts of financial markets. The BRHA framework is thus able to accommodate market features that seem not easily reconcilable for the standard financial market paradigm, such as fat tail, volatility clustering, large excursions from the fundamental and bubbles.


The Oxford Handbook of Computational Economics and Finance

The Oxford Handbook of Computational Economics and Finance
Author: Shu-Heng Chen
Publisher: Oxford University Press
Total Pages: 785
Release: 2018-01-12
Genre: Business & Economics
ISBN: 0190877502

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The Oxford Handbook of Computational Economics and Finance provides a survey of both the foundations of and recent advances in the frontiers of analysis and action. It is both historically and interdisciplinarily rich and also tightly connected to the rise of digital society. It begins with the conventional view of computational economics, including recent algorithmic development in computing rational expectations, volatility, and general equilibrium. It then moves from traditional computing in economics and finance to recent developments in natural computing, including applications of nature-inspired intelligence, genetic programming, swarm intelligence, and fuzzy logic. Also examined are recent developments of network and agent-based computing in economics. How these approaches are applied is examined in chapters on such subjects as trading robots and automated markets. The last part deals with the epistemology of simulation in its trinity form with the integration of simulation, computation, and dynamics. Distinctive is the focus on natural computationalism and the examination of the implications of intelligent machines for the future of computational economics and finance. Not merely individual robots, but whole integrated systems are extending their "immigration" to the world of Homo sapiens, or symbiogenesis.


A Behavioral Approach to Asset Pricing

A Behavioral Approach to Asset Pricing
Author: Hersh Shefrin
Publisher: Elsevier
Total Pages: 636
Release: 2008-05-19
Genre: Business & Economics
ISBN: 0080482244

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Behavioral finance is the study of how psychology affects financial decision making and financial markets. It is increasingly becoming the common way of understanding investor behavior and stock market activity. Incorporating the latest research and theory, Shefrin offers both a strong theory and efficient empirical tools that address derivatives, fixed income securities, mean-variance efficient portfolios, and the market portfolio. The book provides a series of examples to illustrate the theory. The second edition continues the tradition of the first edition by being the one and only book to focus completely on how behavioral finance principles affect asset pricing, now with its theory deepened and enriched by a plethora of research since the first edition


Modeling Financial Markets with Heterogeneous Interacting Agents

Modeling Financial Markets with Heterogeneous Interacting Agents
Author:
Publisher:
Total Pages: 79
Release: 2007
Genre: Economics
ISBN:

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Financial market has been extensively recognized as a complex system, where large number of heterogeneous agents contribute to price formation of asset. Interactions and adaptations of these agents form the core foundation of market operations and its resultant characteristic properties. These market agents are highly diverse in their perception of the world around them and in the way they respond to it. Various studies of statistical properties of financial markets and price fluctuations have revealed a rich set of typical characteristics knows as stylized facts. Agent-based models that can reproduce these stylized facts and explain the roots of complex dynamics of financial market have been subject of intense research in recent time. The Minority Game Model proposed by Challet and Zhang is one such model that presents a simplified paradigm of financial market. Another model proposed by Lux and Marchesi offers a different perspective to agent-based modeling, where parallels are drawn between the physical system with a large number of interacting units and financial markets. The Minority Game model succeeds to a certain extent in reproducing stylized facts and explaining behavioral foundation of it. However, in attempt to present a simplified picture of market scenario both these models make certain assumptions that dilute the heterogeneity aspect of the real market. In real world markets, agents are truly diverse in their thinking, strategy, action and analyzing ability. Due to these unrealistic assumptions, the model can be validated only with a very limited spectrum of parameters. Also, it's difficult to point out precisely which aspects of the game contribute to some of the stylized facts producible with the model. To improve on these issues, we have developed a model and a simulator based on modified minority game, which we are referring to as "adapted minority game." The main focus of our research is on improving the heterogeneity aspect of agents, their interactions, and bringing fundamental value of asset into the Minority Game model. Our model introduces fundamentalist agents into the minority game model and also allows agents to have different historical memory and time horizons. Furthermore, agents are free to switch from one trading strategy group to another to improve their chances of performing better. Reproducing the stylized facts still remains the benchmark for validating our model. Our adapted minority game succeeds to an extent in expanding the spectrum of parameters that can be used for modeling the market. Agents' interactions and adaptations have been tracked down to the basis of stylized facts. An interesting property of periodic volatility is successfully demonstrated with our model.