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Asset Pricing in a Lucas Framework with Boundedly Rational, Heterogeneous Agents

Title: Asset Pricing in a Lucas Framework with Boundedly Rational, Heterogeneous Agents.
Name(s): Culham, Andrew J. (Andrew James), 1979-, author
Beaumont, Paul M., professor co-directing dissertation
Kercheval, Alec N., professor co-directing dissertation
Schlagenhauf, Don, outside committee member
Goncharov, Yevgeny, committee member
Kopriva, David, committee member
Department of Mathematics, degree granting department
Florida State University, degree granting institution
Type of Resource: text
Genre: Text
Issuance: monographic
Date Issued: 2007
Publisher: Florida State University
Florida State University
Place of Publication: Tallahassee, Florida
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: The standard dynamic general equilibrium model of financial markets does a poor job of explaining the empirical facts observed in real market data. The common assumptions of homogeneous investors and rational expectations equilibrium are thought to be major factors leading to this poor performance. In an attempt to relax these assumptions, the literature has seen the emergence of agent-based computational models where artificial economies are populated with agents who trade in stylized asset markets. Although they offer a great deal of flexibility, the theoretical community has often criticized these agent-based models because the agents are too limited in their analytical abilities. In this work, we create an artificial market with a single risky asset and populate it with fully optimizing, forward looking, infinitely lived, heterogeneous agents. We restrict the state space of our agents by not allowing them to observe the aggregate distribution of wealth so they are required to compute their conditional demand functions while simultaneously learning the equations of motion for the aggregate state variables. We develop an efficient and flexible model code that can be used to explore a wide number of asset pricing questions while remaining consistent with conventional asset pricing theory. We validate our model and code against known analytical solutions as well as against a new analytical result for agents with differing discount rates. Our simulation results for general cases without known analytical solutions show that, in general, agents' asset holdings converge to a steady-state distribution and the agents are able to learn the equilibrium prices despite the restricted state space. Further work will be necessary to determine whether the exceptional cases have some fundamental theoretical explanation or can be attributed to numerical issues. We conjecture that convergence to the equilibrium is global and that the market-clearing price acts to guide the agents' forecasts toward that equilibrium.
Identifier: FSU_migr_etd-2948 (IID)
Submitted Note: A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Degree Awarded: Summer Semester, 2007.
Date of Defense: June 29, 2007.
Keywords: Asset Pricing, Boundedly Rational, Non Equilibrium, Lucas Model
Bibliography Note: Includes bibliographical references.
Advisory Committee: Paul M. Beaumont, Professor Co-Directing Dissertation; Alec N. Kercheval, Professor Co-Directing Dissertation; Don Schlagenhauf, Outside Committee Member; Yevgeny Goncharov, Committee Member; David Kopriva, Committee Member.
Subject(s): Mathematics
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Host Institution: FSU

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Culham, A. J. (A. J. ). (2007). Asset Pricing in a Lucas Framework with Boundedly Rational, Heterogeneous Agents. Retrieved from