Adriana Piazza

Researcher at Departamento de Matematica of the Universidad Tecnica Federico Santa Maria.

Member of the Analysis & Mathematical Modeling Valparaíso. AM2V

This is my email: a d r i a n a . p i a z z a * u s m . c l

My complete contact information is here.

Research Interests

optimization

sustainable management of natural resources

mathematical economics

Research Summary

My Ph.D. was jointly co-guided by Roberto Cominetti (Universidad de Chile) and Pierre Cartigny (Universite de Montepellier II). It concerned the optimal management of multiple species forests when future benefits are discounted. I proved the existence and uniqueness of an homogeneous state invariant under the optimal policy, the so-called sustainable state. I discussed the conditions under which an optimal trajectory converges in the long run towards this state or towards an optimal periodic cycle.

Now, I turn to economic dynamics and study turnpike properties of different models of forest plantations.

Publications

• PhD Thesis:

  Mathematical models for the sustainable management of natural renewable resources.

• Articles

  1. The optimal harvesting problem with a land market: a characterization of the asymptotic convergence A. Piazza. Economic Theory, 40, Issue 1, 113-138 (2009) [preprint version is linked here, see the publisher's site for the journal version]
  2. Asymptotic convergence of optimal harvesting policies for a multiple species forest. R. Cominetti & A. Piazza. Mathematics of Operations Research, 34, Issue 3, 576-593 (2009). [see the publisher's site for the journal version]
  3. Optimal control of renewable resources with alternative use. A. Piazza & A. Rapaport. Mathematical and Computer Modelling, 50, Issues 1-2, 260-272 (2009) [preprint version is linked here, see the publisher's site for the journal version].
  4. On Uniform Convergence of Undiscounted Optimal Programs in the Mitra-Wan Forestry model: The Strictly Concave Case. M. Ali Khan & A. Piazza. International Journal of Economic Theory, 6, 57-76 (2010).
  5. About optimal harvesting policies for a multiple species forest without discounting. A. Piazza. Journal of Economics, 100(3), 217-233 (2010).
  6. On the Non-existence of Optimal Programs in the Robinson-Solow-Srinivasan (RSS) Model. M. Ali Khan & A. Piazza. Economic Letters, 109, 94-98 (2010).
  7. The Economics of Forestry and a Set-Valued Turnpike of the Classical Type. M. Ali Khan & A. Piazza. Nonlinear Analysis, 74(1), 171-181 (2011).
  8. The Concavity Assumption on Felicities and Asymptotic Dynamics in the RSS model. M. Ali Khan & A. Piazza. Set Valued and Variational Analysis, 19(1), 135-156 (2011).
  9. An Overview of Turnpike Theory: Towards the Discounted Deterministic Case. M. Ali Khan & A. Piazza. Advances on Mathematical Economics, 14, 39-67 (2011).
  10. Classical Turnpike Theory and the Economics of Forestry. M. Ali Khan & A. Piazza. Journal of Economic Behavior & Organization, 79(3) 194-210, (2011).
  11. Optimal Cyclicity and Chaos in the 2-Sector RSS Model: An Anything-Goes Construction. M. Ali Khan & A. Piazza, Journal of Economic Behavior and Organization, 80(3) 397-417, (2011).
  12. On the Mitra-Wan Forestry Model: A Unified Analysis. M. Ali Khan & A. Piazza. Journal of Economic Theory, 147(1) 230-260 (2012).
  13. The optimal harvesting problem under price uncertainty. B. Pagnoncelli & A. Piazza. Paper under review.

Teaching

2011: Matemática 1, Mat 021.

2010: Matemática 2, Mat 022.

2010: Introducción a la Ingeniería (IWG 101).

2010: Complementos de Calculo.

2009: Convex Analysis. I taught Convex Analysis for the Mathematical Engeneering Master of the Universidad de la República of Uruguay.

2008: Linear programming. As part of the project FONDEF D05I10211, I taught Linear Programming to students of last year of Pedagogy in Mathematics.

2007: Linear Algebra

Recent and future talks

• 3er Coloquio Uruguayo de Matematica. December, 20-22, 2011, Montevideo, Uruguay.
• LXXX Encuentro Anual de la SOMACHI. November, 3-5, 2011, Los Andes, Chile.
• Jornadas de Matematica de la Zona Sur. April 27-29, 2011, Pucon, Chile.
• ICCOPT- Winter School.. Invited plenary speaker, July 24 - 25, 2010, Santiago, Chile.
• ICCOPT.. July 26 - 29, 2010, Santiago, Chile.
• CIMPA-UNESCO-URUGUAY research School. March 14 - 20, 2010, Solis, Uruguay.
• 84 Annual Conference of the Western Economic Association International. President-Elect Featured Session: "Advances on Capital Theory". June 29-July 3, 2009, Vancouver, Canada.
• CLAIO, Session: ''Sustainable management of natural resources''. 9--12 September 2008, Cartagena, Colombia.
• Workshop on Transport, Optimization, Equilibrium in Economics. 14--20 July 2008, University of British Columbia, Vancouver, Canada.
• VI Jornadas Franco-Chilenas en Optimizacion (JFCO). 19--21 May 2008, Universite du Sud Toulon-Var, France
• Encuentro de la Sociedad de Economia de Chile (SECHI). 27,28 September 2007, Reñaca, Chile.

Visits

• Department of Economics, Southern Methodist University. February 2012, Dallas, US.
• RGEA, Universidad de Vigo. February 2010, Vigo, España.
• UMR MISTEA, Institut National de la Recherche Agronomique (INRA). February 2010, Montpellier, France.
• King Abdullah University of Science and Technology. January 2010, Saudi Arabia.
• Department of Economics, University of Illinois at Urbana-Champaign. April-May 2009, Urbana-Champaign, IL, U.S.
• Department of Economics, Johns Hopkins University. May-June 2008, Baltimore, MD, U.S.

Miscellaneous