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Optimal dynamic management of a charity under imperfect altruism

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  • Crettez, Bertrand
  • Hayek, Naila
  • Zaccour, Georges

Abstract

Nonprofit organizations play an important role in providing goods and services in all countries. The objective of this paper is to determine optimal policies for a charity when its managers are imperfectly altruistic. The starting point of our analysis is that the donations a charity receives are a function of its reputation, which is an asset that can be built up over time, not overnight. To account for this important aspect, we propose a dynamic model where the charity can allocate its revenues to three main activities, namely, the program expenditures (charitable projects), information (promotion of its causes, website, etc.) and unproductive consumption benefiting its managers. We compute optimal policies and discuss their implications. We notably find conditions under which imperfectly altruistic managers nevertheless behave ethically. In addition, we show that where they behave non-ethically, advertising and unproductive consumption always move in opposite directions.

Suggested Citation

  • Crettez, Bertrand & Hayek, Naila & Zaccour, Georges, 2021. "Optimal dynamic management of a charity under imperfect altruism," Omega, Elsevier, vol. 100(C).
  • Handle: RePEc:eee:jomega:v:100:y:2021:i:c:s0305048319308540
    DOI: 10.1016/j.omega.2020.102227
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    References listed on IDEAS

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    1. Aldashev, Gani & Verdier, Thierry, 2010. "Goodwill bazaar: NGO competition and giving to development," Journal of Development Economics, Elsevier, vol. 91(1), pages 48-63, January.
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    3. Jen Shang & Rachel Croson, 2009. "A Field Experiment in Charitable Contribution: The Impact of Social Information on the Voluntary Provision of Public Goods," Economic Journal, Royal Economic Society, vol. 119(540), pages 1422-1439, October.
    4. Jeremy Thornton, 2008. "Competition, Contractibility, and the Market for Donors to Nonprofits," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 24(1), pages 215-246, May.
    5. Christian Burkart & Tina Wakolbinger & Fuminori Toyasaki, 2018. "Funds allocation in NPOs: the role of administrative cost ratios," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 26(2), pages 307-330, June.
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    Cited by:

    1. Chaab, Jafar & Salhab, Rabih & Zaccour, Georges, 2022. "Dynamic pricing and advertising in the presence of strategic consumers and social contagion: A mean-field game approach," Omega, Elsevier, vol. 109(C).

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