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A model of strategic sustainable investment

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  • Tiziano De Angelis
  • Caio C'esar Graciani Rodrigues
  • Peter Tankov

Abstract

We study a problem of optimal irreversible investment and emission reduction formulated as a nonzero-sum dynamic game between an investor with environmental preferences and a firm. The game is set in continuous time on an infinite-time horizon. The firm generates profits with a stochastic dynamics and may spend part of its revenues towards emission reduction (e.g., renovating the infrastructure). The firm's objective is to maximize the discounted expectation of a function of its profits. The investor participates in the profits and may decide to invest to support the firm's production capacity. The investor uses a profit function which accounts for both financial and environmental factors. Nash equilibria of the game are obtained via a system of variational inequalities. We formulate a general verification theorem for this system in a diffusive setup and construct an explicit solution in the zero-noise limit. Our explicit results and numerical approximations show that both the investor's and the firm's optimal actions are triggered by moving boundaries that increase with the total amount of emission abatement.

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  • Tiziano De Angelis & Caio C'esar Graciani Rodrigues & Peter Tankov, 2024. "A model of strategic sustainable investment," Papers 2412.00986, arXiv.org.
    • Handle: RePEc:arx:papers:2412.00986
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    References listed on IDEAS

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    1. Jean-Paul Décamps & Thomas Mariotti & Stéphane Villeneuve, 2006. "Irreversible investment in alternative projects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(2), pages 425-448, June.
    2. Hart, Oliver & Zingales, Luigi, 2017. "Companies Should Maximize Shareholder Welfare Not Market Value," Journal of Law, Finance, and Accounting, now publishers, vol. 2(2), pages 247-275, November.
    3. Dixit, Avinash, 1995. "Irreversible investment with uncertainty and scale economies," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 327-350.
    4. René Aïd & Matteo Basei & Giorgia Callegaro & Luciano Campi & Tiziano Vargiolu, 2020. "Nonzero-Sum Stochastic Differential Games with Impulse Controls: A Verification Theorem with Applications," Mathematics of Operations Research, INFORMS, vol. 45(1), pages 205-232, February.
    5. Tamas Barko & Martijn Cremers & Luc Renneboog, 2022. "Shareholder Engagement on Environmental, Social, and Governance Performance," Journal of Business Ethics, Springer, vol. 180(2), pages 777-812, October.
    6. H. Dharma Kwon & Hongzhong Zhang, 2015. "Game of Singular Stochastic Control and Strategic Exit," Mathematics of Operations Research, INFORMS, vol. 40(4), pages 869-887, October.
    7. Kerry Back & Dirk Paulsen, 2009. "Open-Loop Equilibria and Perfect Competition in Option Exercise Games," The Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4531-4552, November.
    8. Tiziano De Angelis & Fabien Gensbittel & St'ephane Villeneuve, 2023. "Nash equilibria for dividend distribution with competition," Papers 2312.07703, arXiv.org, revised Oct 2024.
    9. Hemmer, Thomas & Kim, Oliver & Verrecchia, Robert E., 1999. "Introducing convexity into optimal compensation contracts," Journal of Accounting and Economics, Elsevier, vol. 28(3), pages 307-327, December.
    10. Pindyck, Robert S, 1991. "Irreversibility, Uncertainty, and Investment," Journal of Economic Literature, American Economic Association, vol. 29(3), pages 1110-1148, September.
    11. Ingolf Dittmann & Ernst Maug & Oliver Spalt, 2010. "Sticks or Carrots? Optimal CEO Compensation when Managers Are Loss Averse," Journal of Finance, American Finance Association, vol. 65(6), pages 2015-2050, December.
    12. Pedersen, Lasse Heje & Fitzgibbons, Shaun & Pomorski, Lukasz, 2021. "Responsible investing: The ESG-efficient frontier," Journal of Financial Economics, Elsevier, vol. 142(2), pages 572-597.
    13. Hart, Oliver D. & Zingales, Luigi, 2017. "Companies Should Maximize Shareholder Welfare Not Market Value," Working Papers 267, The University of Chicago Booth School of Business, George J. Stigler Center for the Study of the Economy and the State.
    14. Guo, Xin & Miao, Jianjun & Morellec, Erwan, 2005. "Irreversible investment with regime shifts," Journal of Economic Theory, Elsevier, vol. 122(1), pages 37-59, May.
    15. Florian Heeb & Julian F Kölbel & Falko Paetzold & Stefan Zeisberger, 2023. "Do Investors Care about Impact?," The Review of Financial Studies, Society for Financial Studies, vol. 36(5), pages 1737-1787.
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