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Monetizing Positive Externalities to Mitigate the Infrastructure Underinvestment Problem

Author

Listed:
  • Hao Bai

    (University of Manchester [Manchester])

  • Alain Bensoussan

    (ICDRiA - International Center for Decision and Risk Analysis - UT Dallas - University of Texas at Dallas [Richardson])

  • Gordon Briest

    (OVGU - Otto-von-Guericke-Universität Magdeburg = Otto-von-Guericke University [Magdeburg])

  • Benoit Chevalier-Roignant

    (EM - EMLyon Business School)

Abstract

Many cities face challenges in financing their infrastructure. If a decision maker cannot capture all the benefits of its investment, there is a risk of underinvestment. Hong Kong's transit operator designed a scheme in which it not only receives fare revenues, but also participates in a property management business, exploiting the positive externalities of public transport on nearby property prices. We develop a stochastic Stackelberg game of timing to explore the rationale of this scheme. The underlying problem is nontrivial because the operator faces a two-dimensional optimal stopping problem that cannot be reduced by a change of numéraire. We determine the operator's optimal investment policy via the intermediation of a "penalized problem" and derive comparative statics. We determine the circumstances under which monetizing positive externalities effectively favors infrastructure investment. Other management problems have similar structures.

Suggested Citation

  • Hao Bai & Alain Bensoussan & Gordon Briest & Benoit Chevalier-Roignant, 2024. "Monetizing Positive Externalities to Mitigate the Infrastructure Underinvestment Problem," Post-Print hal-04817939, HAL.
  • Handle: RePEc:hal:journl:hal-04817939
    DOI: 10.1287/opre.2023.0075
    as

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    Cited by:

    1. Chevalier-Roignant, Benoît, 2024. "When and how should an incumbent respond to a potentially disruptive event?," Journal of Economic Dynamics and Control, Elsevier, vol. 168(C).

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