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Should I Wait or Should I Pay? The Dynamics of Private and Public Healthcare

Author

Listed:
  • Denis Caporale

    (General Manager of the entity Azienda Sanitaria Universitaria Friuli Centrale (ASUFC), Italy.)

  • Francesco Magris

    (LEO - Laboratoire d'Économie d'Orleans [2022-...] - UO - Université d'Orléans - UT - Université de Tours - UCA - Université Clermont Auvergne, Università degli studi di Trieste = University of Trieste)

  • Gabrielle Sbaiz

    (INdAM Unit - Istituto Nazionale di Alta Matematica "Francesco Severi" [Roma] - UNIROMA - Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome], Università degli studi di Trieste = University of Trieste)

  • Bianca Tanasa

    (LEO - Laboratoire d'Économie d'Orleans [2022-...] - UO - Université d'Orléans - UT - Université de Tours - UCA - Université Clermont Auvergne, Università degli studi di Trieste = University of Trieste)

Abstract

In many countries, a private health system coexists with the public one. Recently, however, it seems that the latter is subjected to budgetary cuts and no longer able to meet the needs of citizens. Within an OLG model with production and in which young agents invest in preventive medicine and consume private healthcare beside public one, we prove that access to public health system is rationed by increasing waiting times, entailing costs in terms of treatment e!ectiveness and psychological order. Considering a fiscal policy aimed at providing health services, we prove that there emerge two dynamic regimes, the first prevailing for low GDP levels, the other for larger ones, where waiting times are countercyclical. We find two stationary capital levels, the lower one being globally unstable while the higher one globally stable. We also study the set of optimal allocations and prove that stationary GDP is increasing in the social discount factor. Finally, we show that it is possible to decentralize any optimal allocation by fixing opportunely the debt-to-GDP ratio and government spending in healthcare.

Suggested Citation

  • Denis Caporale & Francesco Magris & Gabrielle Sbaiz & Bianca Tanasa, 2025. "Should I Wait or Should I Pay? The Dynamics of Private and Public Healthcare," Working Papers hal-05344962, HAL.
  • Handle: RePEc:hal:wpaper:hal-05344962
    DOI: 10.5281/zenodo.17515324
    Note: View the original document on HAL open archive server: https://hal.science/hal-05344962v1
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    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy; Modern Monetary Theory
    • I12 - Health, Education, and Welfare - - Health - - - Health Behavior
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy; Modern Monetary Theory
    • I12 - Health, Education, and Welfare - - Health - - - Health Behavior
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health

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