The dynamics of market share’s growth and competition in quadratic mappings
AbstractThis paper shows that the observed output of any market, placed within the confine of a quadratic map, can characterize the state of that market. Such an approach explains the process of market share’s growth and its pitfalls, the consequences of broken symmetry of scaling, as well as the limits of firms’ competition for market shares
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 43652.
Date of creation: 03 Dec 2012
Date of revision:
Market Share; Quadratic Mappings; Monofractality; Broken Symmetry of Translation of Equilibria. Multi-fractality; Complexity; Chaos;
Find related papers by JEL classification:
- G1 - Financial Economics - - General Financial Markets
- G00 - Financial Economics - - General - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-01-26 (All new papers)
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- Dominique, C-Rene & Rivera-Solis, Luis Eduardo, 2012. "Short-term Dependence in Time Series as an Index of Complexity: Example from the S&P-500 Index," MPRA Paper 41408, University Library of Munich, Germany.
- Lo, Andrew W, 1991.
"Long-Term Memory in Stock Market Prices,"
Econometric Society, vol. 59(5), pages 1279-313, September.
- Andrew W. Lo, 1989. "Long-term Memory in Stock Market Prices," NBER Working Papers 2984, National Bureau of Economic Research, Inc.
- Lo, Andrew W. (Andrew Wen-Chuan), 1989. "Long-term memory in stock market prices," Working papers 3014-89., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Tom Doan, . "RSSTATISTIC: RATS procedure to compute R/S Statistic (classical or Lo's modified)," Statistical Software Components RTS00191, Boston College Department of Economics.
- Invernizzi, Sergio & Medio, Alfredo, 1991. "On lags and chaos in economic dynamic models," Journal of Mathematical Economics, Elsevier, vol. 20(6), pages 521-550.
- Laurent Calvet & Adlai Fisher, 2002. "Multifractality In Asset Returns: Theory And Evidence," The Review of Economics and Statistics, MIT Press, vol. 84(3), pages 381-406, August.
- Thomas Lux, 1996. "Long-term stochastic dependence in financial prices: evidence from the German stock market," Applied Economics Letters, Taylor & Francis Journals, vol. 3(11), pages 701-706.
- Muller, Ulrich A. & Dacorogna, Michel M. & Olsen, Richard B. & Pictet, Olivier V. & Schwarz, Matthias & Morgenegg, Claude, 1990. "Statistical study of foreign exchange rates, empirical evidence of a price change scaling law, and intraday analysis," Journal of Banking & Finance, Elsevier, vol. 14(6), pages 1189-1208, December.
- Dominique, C-Rene, 2013. "Estimating investors' behavior and errorsin probabilistic forecasts by the Kolmogorov entropy and noise colors of multifractal attractors," MPRA Paper 46231, University Library of Munich, Germany, revised 16 Apr 2013.
- Dominique, C-Rene, 2013. "Estimating investors' behavior and errors in probabilistic forecasts by the Kolmogorov entropy and noise colors of non-hyperbolic attractors," MPRA Paper 46451, University Library of Munich, Germany.
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