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Cantor Type Attractors in Stochastic Growth Models

  • Mitra, Tapan

    ()

  • Privileggi, Fabio

    ()

We study a one-sector stochastic optimal growth model where production is affected by a shock taking one of two values. Such exogenous shock may enter multiplicatively or additively. A result is presented which provides sufficient conditions to ensure that the attractor of the iterated function system (IFS) representing the optimal policy, is a generalized topological Cantor set. To indicate the role of the strict monotonicity condition on the IFS in this result, examples of attractors, which are not of the Cantor type, are constructed with iterated function systems, whose maps are contractions and satisfy a no overlap property.

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File URL: http://polis.unipmn.it/pubbl/RePEc/uca/ucapdv/privileggi48.pdf
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Paper provided by Institute of Public Policy and Public Choice - POLIS in its series POLIS Working Papers with number 43.

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Length: 23 pages
Date of creation: Feb 2005
Date of revision:
Handle: RePEc:uca:ucapdv:43
Contact details of provider: Web page: http://polis.unipmn.it

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  1. Ferrero, Mario, 1999. "A model of political enterprise," POLIS Working Papers 9, Institute of Public Policy and Public Choice - POLIS.
  2. Montrucchio, Luigi & Privileggi, Fabio, 1999. "On Fragility of Bubbles in Equilibrium Asset Pricing Models of Lucas-Type," POLIS Working Papers 5, Institute of Public Policy and Public Choice - POLIS.
  3. Marchese, Carla & Privileggi, Fabio, 1999. "Taxpayers Attitudes Toward Risk and Amnesty Participation: Economic Analysis and Evidence for the Italian Case," POLIS Working Papers 6, Institute of Public Policy and Public Choice - POLIS.
  4. Di Novi, Cinzia, 2003. "Regolazione dei prezzi o razionamento: l'efficacia dei due sistemi di allocazione nella fornitura di risorse scarse a coloro che ne hanno maggiore necessita'.," POLIS Working Papers 35, Institute of Public Policy and Public Choice - POLIS.
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  7. Tapan Mitra & Luigi Montrucchio & Fabio Privileggi, 2003. "The nature of the steady state in models of optimal growth under uncertainty," Economic Theory, Springer, vol. 23(1), pages 39-71, December.
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  9. Mario Ferrero, 2005. "Radicalization as a reaction to failure: An economic model of Islamic extremism," Public Choice, Springer, vol. 122(1), pages 199-220, January.
  10. Bissey, Marie-Edith & Canegallo, Claudia & Ortona, Guido & Scacciati, Francesco, 2003. "Competition vs. Cooperation. An Experimental Inquiry," POLIS Working Papers 37, Institute of Public Policy and Public Choice - POLIS.
  11. Ponzano, Ferruccio, 2004. "The allocation of the income tax among different levels of government: a theoretical solution," POLIS Working Papers 40, Institute of Public Policy and Public Choice - POLIS.
  12. Bissey, Marie-Edith & Carini, Mauro & Ortona, Guido, 2003. "ALEX3: A simulation program to compare electoral systems," POLIS Working Papers 36, Institute of Public Policy and Public Choice - POLIS.
  13. Locatelli-Biey, Marilena & Zanola, Roberto, 2000. "The Market for Sculptures: an Adjacent Year Regression Index," POLIS Working Papers 14, Institute of Public Policy and Public Choice - POLIS.
  14. Zanola, Roberto, 2000. "Public goods versus publicly provided private goods in a two-class economy," POLIS Working Papers 12, Institute of Public Policy and Public Choice - POLIS.
  15. Sisto, Andrea & Zanola, Roberto, 2004. "Rational Addiction to Cinema? A Dynamic Panel Analysis of European Countries," POLIS Working Papers 38, Institute of Public Policy and Public Choice - POLIS.
  16. Mitra, Tapan & Privileggi, Fabio, 2003. "Cantor Type Invariant Distributions in the Theory of Optimal Growth under Uncertainty," Working Papers 03-09, Cornell University, Center for Analytic Economics.
  17. Bondonio, Daniele, 2001. "Evaluating Decentralized Policies: How to Compare the Performance of Economic Development Programs across Different Regions or States," POLIS Working Papers 16, Institute of Public Policy and Public Choice - POLIS.
  18. Levaggi, Rosella & Zanola, Roberto, 2000. "The Flypaper Effect: Evidence from the Italian National Health System," POLIS Working Papers 10, Institute of Public Policy and Public Choice - POLIS.
  19. Ortona, Guido, 2004. "Voting for the Electoral System: an Experiment," POLIS Working Papers 42, Institute of Public Policy and Public Choice - POLIS.
  20. Brock, William A. & Mirman, Leonard J., 1972. "Optimal economic growth and uncertainty: The discounted case," Journal of Economic Theory, Elsevier, vol. 4(3), pages 479-513, June.
  21. Montefiori, Marcello, 2003. "Hotelling competition on quality in the health care market," POLIS Working Papers 33, Institute of Public Policy and Public Choice - POLIS.
  22. Locatelli-Biey, Marilena & Zanola, Roberto, 2003. "The market for Picasso prints: an hybrid model approach," POLIS Working Papers 34, Institute of Public Policy and Public Choice - POLIS.
  23. Bissey, Marie-Edith & Ortona, Guido, 2002. "A simulative frame to study the integration of defectors in a cooperative setting," POLIS Working Papers 24, Institute of Public Policy and Public Choice - POLIS.
  24. Cassone, Alberto & Marchese, Carla, 2001. "Should the death tax die? And should it leave an inheritance?," POLIS Working Papers 22, Institute of Public Policy and Public Choice - POLIS.
  25. Mirman, Leonard J. & Zilcha, Itzhak, 1975. "On optimal growth under uncertainty," Journal of Economic Theory, Elsevier, vol. 11(3), pages 329-339, December.
  26. Marchese, Carla & Privileggi, Fabio, 2001. "Who participates in tax amnesties? Self-selection of risk-averse taxpayers," POLIS Working Papers 21, Institute of Public Policy and Public Choice - POLIS.
  27. Cassone, Alberto & Marchese, Carla, 2001. "Einaudi e i servizi pubblici, ovvero come contrastare i monopolisti predoni e la burocrazia corrotta," POLIS Working Papers 17, Institute of Public Policy and Public Choice - POLIS.
  28. Ottone, Stefania, 2001. "L'altruismo: atteggiamento irrazionale, strategia vincente o amore per il prossimo?," POLIS Working Papers 19, Institute of Public Policy and Public Choice - POLIS.
  29. Guido Ortona, 1999. "A weighted-voting electoral system that performs quite well," POLIS Working Papers 4, Institute of Public Policy and Public Choice - POLIS.
  30. Ottone, Stefania, 2004. "Transfers and Altruistic Punishments in Third Party Punishment Game Experiments," POLIS Working Papers 41, Institute of Public Policy and Public Choice - POLIS.
  31. Guido Ortona, 2000. "On the Xenophobia of non-discriminated Ethnic Minorities," POLIS Working Papers 15, Institute of Public Policy and Public Choice - POLIS.
  32. Amisano, Franco, 2002. "La corruzione amministrativa in una burocrazia di tipo concorrenziale: modelli di analisi economica," POLIS Working Papers 29, Institute of Public Policy and Public Choice - POLIS.
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