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# Cycling in stochastic general equilibrium

Listed:
• Zhijian Wang
• Bin Xu

## Abstract

By generalizing the measurements on the game experiments of mixed strategy Nash equilibrium, we study the dynamical pattern in a representative dynamic stochastic general equilibrium (DSGE). The DSGE model describes the entanglements of the three variables (output gap [$y$], inflation [$\pi$] and nominal interest rate [$r$]) which can be presented in 3D phase space. We find that, even though the trajectory of $\pi\!-\!y\!-\!r$ in phase space appears highly stochastic, it can be visualized and quantified. It exhibits as clockwise cycles, counterclockwise cycles and weak cycles, respectively, when projected onto $\pi\!-\!y$, $y\!-\!r$ and $r\!-\!\pi$ phase planes. We find also that empirical data of United State (1960-2013) significantly exhibit same cycles. The resemblance between the cycles in general equilibrium and the cycles in mixed strategy Nash equilibrium suggest that, there generally exists dynamical fine structures accompanying with equilibrium. The fine structure, describing the entanglement of the non-equilibrium (the constantly deviating from the equilibrium), displays as endless cycles.

## Suggested Citation

• Zhijian Wang & Bin Xu, 2014. "Cycling in stochastic general equilibrium," Papers 1410.8432, arXiv.org.
• Handle: RePEc:arx:papers:1410.8432
as

File URL: http://arxiv.org/pdf/1410.8432

## References listed on IDEAS

as
1. Drew Fudenberg & David K. Levine, 2009. "Learning and Equilibrium," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 385-420, May.
2. Ludger Linnemann, 2014. "De Grauwe, Paul: Lectures on behavioral macroeconomics," Journal of Economics, Springer, vol. 112(1), pages 91-93, May.
3. Gary Koop & M. Hashem Pesaran & Ron P. Smith, 2013. "On Identification of Bayesian DSGE Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 31(3), pages 300-314, July.
4. Zarnowitz, Victor, 1985. "Recent Work on Business Cycles in Historical Perspective: A Review of Theories and Evidence," Journal of Economic Literature, American Economic Association, vol. 23(2), pages 523-580, June.
5. Timothy N. Cason & Daniel Friedman & ED Hopkins, 2014. "Cycles and Instability in a Rock--Paper--Scissors Population Game: A Continuous Time Experiment," Review of Economic Studies, Oxford University Press, vol. 81(1), pages 112-136.
6. Tesfatsion, Leigh S., 2002. "Agent-Based Computational Economics: Growing Economies from the Bottom Up," Staff General Research Papers Archive 5075, Iowa State University, Department of Economics.
7. Consolo, Agostino & Favero, Carlo A. & Paccagnini, Alessia, 2009. "On the statistical identification of DSGE models," Journal of Econometrics, Elsevier, vol. 150(1), pages 99-115, May.
8. N. G. Mankiw., 2009. "The Macroeconomist as Scientist and Engineer," VOPROSY ECONOMIKI, N.P. Redaktsiya zhurnala "Voprosy Economiki", vol. 5.
9. Jang, Tae-Seok & Sacht, Stephen, 2012. "Identification of animal spirits in a bounded rationality model: An application to the euro area," Kiel Working Papers 1798, Kiel Institute for the World Economy (IfW).
10. Binmore, Ken & Swierzbinski, Joe & Proulx, Chris, 2001. "Does Minimax Work? An Experimental Study," Economic Journal, Royal Economic Society, vol. 111(473), pages 445-464, July.
11. Reinoud Joosten, 2006. "Walras and Darwin: an odd couple?," Journal of Evolutionary Economics, Springer, vol. 16(5), pages 561-573, December.
12. Victor Zarnowitz, 1984. "Recent Work on Business Cycles in Historical Perspective: Review of Theories and Evidence," NBER Working Papers 1503, National Bureau of Economic Research, Inc.
13. Tovar, Camilo Ernesto, 2009. "DSGE Models and Central Banks," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy (IfW), vol. 3, pages 1-31.
14. Mankiw, N Gregory, 1989. "Real Business Cycles: A New Keynesian Perspective," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 79-90, Summer.
15. Anderson, Christopher M. & Plott, Charles R. & Shimomura, K.-I.Ken-Ichi & Granat, Sander, 2004. "Global instability in experimental general equilibrium: the Scarf example," Journal of Economic Theory, Elsevier, vol. 115(2), pages 209-249, April.
16. Xu, Bin & Zhou, Hai-Jun & Wang, Zhijian, 2013. "Cycle frequency in standard Rock–Paper–Scissors games: Evidence from experimental economics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 4997-5005.
17. Duffy, John, 2006. "Agent-Based Models and Human Subject Experiments," Handbook of Computational Economics,in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 19, pages 949-1011 Elsevier.
18. Dany Lang, 2008. "Why Economists should Choose their Inheritance: Physics and Path-independence in Economic Systems," Review of Political Economy, Taylor & Francis Journals, vol. 20(3), pages 405-420.
19. Bin Xu & Zhijian Wang, 2012. "Evolutionary Dynamical Pattern of 'Coyness and Philandering': Evidence from Experimental Economics," Levine's Working Paper Archive 786969000000000577, David K. Levine.
20. Bin Xu & Shuang Wang & Zhijian Wang, 2014. "Periodic frequencies of the cycles in 2 × 2 games: evidence from experimental economics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(2), pages 1-10, February.
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