Self-Organized Criticality In Evolutionary Systems With Local Interaction
This paper studies a stylized model of local interaction where agents choose from an ever increasing set of vertically ranked actions, e.g. technologies. The driving forces of the model are infrequent upward shifts ("updates"), followed by a rapid process of local imitation ("diffusion"). Our main focus is on the long-run regularities displayed by the long-run distribution of diffusion waves and their implication on the performance of the system. By integrating analytical techniques and numerical simulations, we come to the following two main conclusions: (1) When the penalty for "technological dis-coordination" (the single key parameter of the model) is high enough, the system behaves critically, in the sense customarily used in physics -that is, diffusion waves have their size (or reach) distributed according to power laws. (2) If the performance of the system is evaluated by how fast or cost-efficiently it attains any given technological level, the optimal configuration obtains (in parameter space) close to the frontier of the critical region. There, the system no longer displays synchronized behavior but starts to exhibit persistent and critical long-run heterogeneities. In the heuristic language used by Kauffman (1993), the above two conclusions may be interpreted as an indication that (performance-sensitive) evolutionary forces induce the system to be placed "at the edge of order and chaos".
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- Matthew O. Jackson & Alison Watts, 2000.
"On the Formation of Interaction Networks in Social Coordination Games,"
Econometric Society World Congress 2000 Contributed Papers
0778, Econometric Society.
- Jackson, Matthew O. & Watts, Alison, 2002. "On the formation of interaction networks in social coordination games," Games and Economic Behavior, Elsevier, vol. 41(2), pages 265-291, November.
- Nicholas Economides, 1997.
"The Economics of Networks,"
Brazilian Electronic Journal of Economics,
Department of Economics, Universidade Federal de Pernambuco, vol. 1(0), December.
- Goyal, S. & Vega-Redondo, F., 2000.
"Learning, Network Formation and Coordination,"
Econometric Institute Research Papers
EI 9954-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
- Sanjeev Goyal & Fernando Vega-Redondo, 2000. "Learning, Network Formation and Coordination," Econometric Society World Congress 2000 Contributed Papers 0113, Econometric Society.
- Fernando Vega Redondo & Sanjeev Goyal, 2001. "Learning, Network Formation And Coordination," Working Papers. Serie AD 2001-19, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Ellison, Glenn, 1993.
"Learning, Local Interaction, and Coordination,"
Econometric Society, vol. 61(5), pages 1047-71, September.
- Bryant, John, 1983. "A Simple Rational Expectations Keynes-Type Model," The Quarterly Journal of Economics, MIT Press, vol. 98(3), pages 525-28, August.
- S. Redner, 1998. "How popular is your paper? An empirical study of the citation distribution," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, vol. 4(2), pages 131-134, July.
- Gene M. Grossman & Elhanan Helpman, 1989.
"Quality Ladders in the Theory of Growth,"
NBER Working Papers
3099, National Bureau of Economic Research, Inc.
- L. Blume, 2010.
"The Statistical Mechanics of Strategic Interaction,"
Levine's Working Paper Archive
488, David K. Levine.
- Blume Lawrence E., 1993. "The Statistical Mechanics of Strategic Interaction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 387-424, July.
- Segerstrom, Paul S & Anant, T C A & Dinopoulos, Elias, 1990. "A Schumpeterian Model of the Product Life Cycle," American Economic Review, American Economic Association, vol. 80(5), pages 1077-91, December.
- Scheinkman, Jose A & Woodford, Michael, 1994. "Self-Organized Criticality and Economic Fluctuations," American Economic Review, American Economic Association, vol. 84(2), pages 417-21, May.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- Aghion, Philippe & Howitt, Peter, 1992.
"A Model of Growth through Creative Destruction,"
Econometric Society, vol. 60(2), pages 323-51, March.
- Aghion, P. & Howitt, P., 1990. "A Model Of Growth Through Creative Destruction," DELTA Working Papers 90-12, DELTA (Ecole normale supérieure).
- Philippe Aghion & Peter Howitt, 1990. "A Model of Growth Through Creative Destruction," NBER Working Papers 3223, National Bureau of Economic Research, Inc.
- Aghion, P. & Howitt, P., 1989. "A Model Of Growth Through Creative Destruction," Working papers 527, Massachusetts Institute of Technology (MIT), Department of Economics.
- Aghion, P. & Howitt, P., 1989. "A Model Of Growth Through Creative Destruction," UWO Department of Economics Working Papers 8904, University of Western Ontario, Department of Economics.
- Crawford, Vincent P., 1991. "An "evolutionary" interpretation of Van Huyck, Battalio, and Beil's experimental results on coordination," Games and Economic Behavior, Elsevier, vol. 3(1), pages 25-59, February.
- repec:dgr:uvatin:20000093 is not listed on IDEAS
- Van Huyck, John B & Battalio, Raymond C & Beil, Richard O, 1990.
"Tacit Coordination Games, Strategic Uncertainty, and Coordination Failure,"
American Economic Review,
American Economic Association, vol. 80(1), pages 234-48, March.
- J. B. Van Huyck & R. C. Battalio & R. O. Beil, 2010. "Tacit coordination games, strategic uncertainty, and coordination failure," Levine's Working Paper Archive 661465000000000393, David K. Levine.
- John B Van Huyck & Raymond C Battalio & Richard O Beil, 1997. "Tacit coordination games, strategic uncertainty, and coordination failure," Levine's Working Paper Archive 1225, David K. Levine.
- Katz, Michael L & Shapiro, Carl, 1985. "Network Externalities, Competition, and Compatibility," American Economic Review, American Economic Association, vol. 75(3), pages 424-40, June.
- Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth Through Creative Destruction," Scholarly Articles 12490578, Harvard University Department of Economics.
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