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Asymptotically Exact Minimizations for Optimal Management of Public Finances

  • Jean Koudi
  • Babacar Mbaye NdiayeEmail author
  • Guy Degla
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 991)

Abstract

The algorithms for asymptotically exact minimizations in Karush-Kuhn-Tucker methods recently published have been considered to be effective on linear or non-linear optimizations problems, differentiable and under inequality constraints. The algorithms conceptions as well as the test results on reference and academic problems are published in [1, 2]. The purpose of this paper is to use these algorithms to solve a specific large-scale problem: the optimal management of public finances. We give a formal study on the design of the models interpreting this problem and solve it thanks to our algorithms to determine at each moment, the optimal recipe and the optimal expenditure that the Government of a State must realize in order to achieve its goals. The numerical results obtained testify the efficiency of our algorithms on large-scale problems.

Keywords

Augmented Lagrangian methods Numerical experiments Approximate KKT point Public finances Adjustment costs 

References

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    Jean K., Guy D., Babacar, M.N., Mamadou, K.T.: Algorithms for asymptotically exact minimizations in Karush-Kuhn-Tucker methods. J. Math. Res. 10(2) (2018).  https://doi.org/10.5539/jmr.v10n2pxx
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    Jean-François, L., Eric, J.: La gestion optimale des finances publiques en présence de co\(\hat{u}\)ts d’ajustement, Economie & prévision, No 104, 1992-3. Politique budgétaire, taux d’intér\(\hat{e}\)t, taux de change, pp. 19–38 (1992).  https://doi.org/10.3406/ecop.1992.5292
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    Roubini, N., Sachs, J.D.: Political economic determinants of budget deficit in the industrial democracies. Eur. Econ. Rev. 33 (1989)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Institute of Mathematics and Physical Sciences, University of Abomey CalaviPorto-NovoBenin
  2. 2.Laboratory of Mathematics of Decision and Numerical AnalysisUniversity of Cheikh Anta Diop - DakarDakar-FannSenegal

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