Scale Invariance, Bounded Rationality and Non-Equilibrium Economics
We study a class of heterogeneous agent-based models which are based on a basic set of principles, and the most fundamental operations of an economic system: trade and product transformations. A basic guiding principle is scale invariance, which means that the dynamics of the economy should not depend on the units used to measure the different products. We develop the idea of a "near-equilibrium" expansion which allow us to study the dynamics of fluctuations around economic equilibrium. This is similar to the familiar "perturbation theory" studied in many areas of physics. We study some simple models of both centralized and decentralized markets. We show the relaxation to equilibrium when appropriate. More interestingly, we study a simple model of a decentralized market that shows a spontaneous transition into a monetary phase. We use mean field theory analysis to provide a statistical interpretation of the monetary phase. Furthermore, we show that such phase can be dynamically unstable. Finally, we study some simple centralized financial markets, one of which shows a speculative bubble and a crash.
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- Xue-Zhong He & Youwei Li, 2008. "Heterogeneity, convergence, and autocorrelations," Quantitative Finance, Taylor & Francis Journals, vol. 8(1), pages 59-79.
- J. Doyne Farmer & John Geanakoplos, 2008.
"The Virtues and Vices of Equilibrium and the Future of Financial Economics,"
Levine's Working Paper Archive
122247000000002067, David K. Levine.
- J. Doyne Farmer & John Geanakoplos, 2008. "The Virtues and Vices of Equilibrium and the Future of Financial Economics," Cowles Foundation Discussion Papers 1647, Cowles Foundation for Research in Economics, Yale University.
- J. Doyne Farmer & John Geanakoplos, 2008. "The virtues and vices of equilibrium and the future of financial economics," Papers 0803.2996, arXiv.org.
- Guillaume Rocheteau & Randall Wright, 2003.
"Money in Search Equilibrium, in Competitive Equilibrium, and in Competitive Search Equilibrium,"
PIER Working Paper Archive
03-031, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
- Guillaume Rocheteau & Randall Wright, 2005. "Money in Search Equilibrium, in Competitive Equilibrium, and in Competitive Search Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 175-202, 01.
- Guillaume Rocheteau & Randall Wright, 2004. "Money in search equilibrium, in competitive equilibrium, and in competitive search equilibrium," Working Paper 0405, Federal Reserve Bank of Cleveland.
- Randall Wright & Guillame Rocheteau, 2003. "Money in Search Equilibrium, in Competitive Equilibrium, and in Competitive Search Equilibrium," Levine's Bibliography 666156000000000302, UCLA Department of Economics.
- Kirill Ilinski, 1997. "Physics of Finance," Papers hep-th/9710148, arXiv.org.
- Fumio Hayashi & Akihiko Matsui, 1994.
"A Model of Fiat Money and Barter,"
NBER Working Papers
4919, National Bureau of Economic Research, Inc.
- Jones, Robert A, 1976. "The Origin and Development of Media of Exchange," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages 757-75, August.
- Aumann, Robert J., 1997. "Rationality and Bounded Rationality," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 2-14, October.
- George Selgin, 2003. "Adaptive Learning and the Transition to Fiat Money," Economic Journal, Royal Economic Society, vol. 113(484), pages 147-165, January.
- Irene Giardina & Jean-Philippe Bouchaud, 2002. "Bubbles, crashes and intermittency in agent based market models," Science & Finance (CFM) working paper archive 500022, Science & Finance, Capital Fund Management.
- Terrance Odean, 1999. "Do Investors Trade Too Much?," American Economic Review, American Economic Association, vol. 89(5), pages 1279-1298, December.
- E. Samanidou & E. Zschischang & D. Stauffer & T. Lux, 2007. "Agent-based Models of Financial Markets," Papers physics/0701140, arXiv.org.
- Karl Ludwig Keiber, 2008. "Price discovery in the presence of boundedly rational agents," Quantitative Finance, Taylor & Francis Journals, vol. 8(3), pages 235-249.
- Araujo, Luis & Camargo, Braz, 2006. "Information, learning, and the stability of fiat money," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1571-1591, October.
- John Conlisk, 1996. "Why Bounded Rationality?," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 669-700, June.
- J. Coulon & Y. Malevergne, 2011.
"Heterogeneous expectations and long-range correlation of the volatility of asset returns,"
Taylor & Francis Journals, vol. 11(9), pages 1329-1356, November.
- Jérôme Coulon & Yannick Malevergne, 2010. "Heterogeneous expectations and long range correlation of the volatility of asset returns," Working Papers halshs-00541953, HAL.
- Jerome Coulon & Yannick Malevergne, 2008. "Heterogeneous expectations and long range correlation of the volatility of asset returns," Papers 0808.1538, arXiv.org.
- Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-54, August.
- Wilhite, Allen, 2006. "Economic Activity on Fixed Networks," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 20, pages 1013-1045 Elsevier.
- Hommes, Cars H., 2006. "Heterogeneous Agent Models in Economics and Finance," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 23, pages 1109-1186 Elsevier.
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