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The Statistical Mechanics of Financial Markets

The Statistical Mechanics of Financial Markets
Author: Johannes Voit
Publisher: Springer Science & Business Media
Total Pages: 298
Release: 2013-04-17
Genre: Mathematics
ISBN: 3662051257

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This textbook describes parallels between statistical physics and finance - both those established in the 100-year-long interaction between these disciplines, as well as new research results on capital markets. The random walk, well known in physics, is also the basic model in finance, upon which are built, for example, the Black--Scholes theory of option pricing and hedging, or methods of risk control using diversification. Here the underlying assumptions are discussed using empirical financial data and analogies to physical models such as fluid flows, turbulence, or superdiffusion. On this basis, new theories of derivative pricing and risk control can be formulated. Computer simulations of interacting agent models of financial markets provide insights into the origins of asset price fluctuations. Stock exchange crashes can be modelled in ways analogous to phase transitions and earthquakes. These models allow for predictions. This study edition has been updated with a presentation of several new and significant developments, e.g. the dynamics of volatility smiles and implied volatility surfaces, path integral approaches to option pricing, a new and accurate simulation scheme for options, multifractals, the application of nonextensive statistical mechanics to financial markets, and the minority game. Moreover, the book was scanned for and corrected from errors, both typographical and in presentation.


Market Dynamics as a Consequence of Local Complementarity and Global Substitutability in Agent's Strategies

Market Dynamics as a Consequence of Local Complementarity and Global Substitutability in Agent's Strategies
Author: Michele Bagella
Publisher:
Total Pages: 24
Release: 2014
Genre:
ISBN:

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Empirical analysis of financial markets has shown number of stylized facts such as heavy tails or volatility bursts which are difficult to explain in terms of evolution of fundamental economic variables. Indeed the non-Gaussian, non-stable character of empirical distributions, such as excess demand or stock returns, demonstrate the weakness of any independent agent approach to model the real market. Starting from the existing literature on the characterization of the behavior of random economies with many interacting agents, we identify a set of microeconomic interaction rules which could help to explain the macroeconomic observed market behavior. Following the work of Bornholdt and extending the Brock and Durlauf work, we will consider interacting agents whose payoff exhibit both a strategic complementarity with their nearest neighbors actions and an eventual global substitutability with the global market state. In this set-up we reconstruct a price process related to the imbalance between buyers and sellers. Finally we investigate how the frustration resulting from the tendency of local imitation, with an additional coupling with the average state of the system reproduces main observed stylized facts of real financial markets. We show how in this framework even the largest crash may emerge as a natural intrinsic metastable dynamics of the system induced by a collective phenomena such as crowd effects or herd behavior.


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.


Minority Games

Minority Games
Author: Damien Challet
Publisher: OUP Oxford
Total Pages: 364
Release: 2004-11-04
Genre: Science
ISBN: 0191546526

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The Minority Game is a physicist's attempt to explain market behaviour by the interaction between traders. With a minimal set of ingredients and drastic assumptions, this model reproduces market ecology among different types of traders. Its emphasis is on speculative trading and information flow. The book first describes the philosophy lying behind the conception of the Minority Game in 1997, and includes in particular a discussion about the El Farol bar problem. It then reviews the main steps in later developments, including both the theory and its applications to market phenomena. 'Minority Games' gives a colourful and stylized, but also realistic picture of how financial markets operate.


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.


Agents and Data Mining Interaction

Agents and Data Mining Interaction
Author: Longbing Cao
Publisher: Springer Science & Business Media
Total Pages: 204
Release: 2009-07-30
Genre: Computers
ISBN: 3642036031

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The2009InternationalWorkshoponAgentsandDataMiningInteraction(ADMI 2009) was a joint event with AAMAS2009. In recentyears,agents and data mining interaction (ADMI), or agent mining forshort,hasemergedasaverypromisingresearch?eld. Followingthesuccessof ADMI 2006 in Hong Kong, ADMI 2007 in San Jose, and ADMI 2008 in Sydney, the ADMI 2009 workshop in Budapest provided a premier forum for sharing research and engineering results, as well as potential challenges and prospects encountered in the synergy between agents and data mining. As usual, the ADMI workshop encouraged and promoted theoretical and applied research and development, which aims at: – Exploitingagent-drivendatamininganddemonstratinghowintelligentagent technology can contribute to critical data mining problems in theory and practice – Improving data mining-driven agents and showing how data mining can strengthen agent intelligence in research and practical applications – Exploring the integration of agents and data mining toward a super-intelligent information processing and systems – Identifying challenges and directions for future research on the synergy between agents and data mining ADMI 2009 featured two invited talks and twelve selected papers. The ?rst invited talk was on “Agents and Data Mining in Bioinformatics,” with the s- ond focusing on “Knowledge-Based Reinforcement Learning. ” The ten accepted papers are from seven countries. A majority of submissions came from Eu- pean countries, indicating the boom of ADMI research in Europe. In addition the two invited papers, addressed fundamental issues related to agent-driven data mining, data mining-driven agents, and agent mining applications. The proceedings of the ADMI workshops will be published as part of the LNAIseriesbySpringer. WeappreciatethesupportofSpringer,andinparticular Alfred Hofmann.


The Dynamics of Interacting Markets

The Dynamics of Interacting Markets
Author:
Publisher:
Total Pages:
Release: 2002
Genre:
ISBN:

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The behavior of boundedly rational agents in two interacting markets is investigated. A discrete-time model of coupled financial and consumer markets is described. The integrated model is then used to investigate feedback effects between the coupled markets. In particular, the influence of the financial market on product development is demonstrated. The types of traders present in the financial market is shown to have a large effect on firm behavior and product development. In a financial market where traders favour particular products the firms are shown to develop these favored products instead of more profitable ones. The effect is quite strong despite the only feedback being through a noisy stock price, and despite the fact that only a third of share traders are directly influenced by product position. (author's abstract).


Financial Modeling of the Equity Market

Financial Modeling of the Equity Market
Author: Frank J. Fabozzi
Publisher: John Wiley & Sons
Total Pages: 673
Release: 2006-03-31
Genre: Business & Economics
ISBN: 0470037695

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An inside look at modern approaches to modeling equity portfolios Financial Modeling of the Equity Market is the most comprehensive, up-to-date guide to modeling equity portfolios. The book is intended for a wide range of quantitative analysts, practitioners, and students of finance. Without sacrificing mathematical rigor, it presents arguments in a concise and clear style with a wealth of real-world examples and practical simulations. This book presents all the major approaches to single-period return analysis, including modeling, estimation, and optimization issues. It covers both static and dynamic factor analysis, regime shifts, long-run modeling, and cointegration. Estimation issues, including dimensionality reduction, Bayesian estimates, the Black-Litterman model, and random coefficient models, are also covered in depth. Important advances in transaction cost measurement and modeling, robust optimization, and recent developments in optimization with higher moments are also discussed. Sergio M. Focardi (Paris, France) is a founding partner of the Paris-based consulting firm, The Intertek Group. He is a member of the editorial board of the Journal of Portfolio Management. He is also the author of numerous articles and books on financial modeling. Petter N. Kolm, PhD (New Haven, CT and New York, NY), is a graduate student in finance at the Yale School of Management and a financial consultant in New York City. Previously, he worked in the Quantitative Strategies Group of Goldman Sachs Asset Management, where he developed quantitative investment models and strategies.