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Raising Capital from Heterogeneous Investors

Author

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  • Marina Halac
  • Ilan Kremer
  • Eyal Winter

Abstract

A rm raises capital from multiple investors to fund a project. The project succeeds only if the capital raised exceeds a stochastic threshold, and the rm offers payments contingent on success. We study the rm's optimal unique-implementation scheme, namely the scheme that guarantees the rm the maximum payoff. This scheme pays investors differential net returns (per unit of capital) depending on the size of their investments. We show that if the distribution of the investment threshold is log-concave, larger investors receive higher net returns than smaller investors. Moreover, higher dispersion in investor size increases the rm's payoff. Our analysis highlights strategic risk as an important potential driver of inequality.

Suggested Citation

  • Marina Halac & Ilan Kremer & Eyal Winter, 2018. "Raising Capital from Heterogeneous Investors," Working Papers 245773051, Lancaster University Management School, Economics Department.
    • Handle: RePEc:lan:wpaper:245773051
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    References listed on IDEAS

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    Cited by:

    1. Roweno J. R. K. Heijmans, 2023. "Unraveling Coordination Problems," Papers 2307.08557, arXiv.org, revised Aug 2023.
    2. Vehviläinen, Iivo, 2023. "Greed is good? Of equilibrium impacts in environmental regulation," Journal of Environmental Economics and Management, Elsevier, vol. 122(C).
    3. Nora, Vladyslav & Winter, Eyal, 2024. "Exploiting social influence in networks," Theoretical Economics, Econometric Society, vol. 19(1), January.
    4. Kalai, Adam Tauman & Kalai, Ehud, 2024. "Beyond dominance and Nash: Ranking equilibria by critical mass," Games and Economic Behavior, Elsevier, vol. 144(C), pages 378-394.
    5. Jay Pil Choi & Christodoulos Stefanadis, 2022. "Network Externalities, Dominant Value Margins, And Equilibrium Uniqueness," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(4), pages 1805-1827, November.
    6. Krishna Dasaratha & Benjamin Golub & Anant Shah, 2023. "Equity Pay In Networked Teams," Papers 2308.14717, arXiv.org.
    7. Mamadou L Gueye & Nicolas Quérou & Raphaël Soubeyran, 2021. "Inequality Aversion and the Distribution of Rewards in Organizations," Working Papers hal-03134262, HAL.
    8. Raphael Soubeyran, 2021. "Pro-social Motivations, Externalities and Incentives," Working Papers hal-03212888, HAL.
    9. Moran Koren, 2023. "The Gatekeeper Effect: The Implications of Pre-Screening, Self-selection, and Bias for Hiring Processes," Papers 2312.17167, arXiv.org.
    10. Heijmans, Roweno J.R.K., 2023. "Unraveling Coordination Problems," Discussion Papers 2023/20, Norwegian School of Economics, Department of Business and Management Science.

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    More about this item

    Keywords

    mechanism design; contracting with externalities; collective action problem; strategic complementarities; unique implementation;
    All these keywords.

    JEL classification:

    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • G24 - Financial Economics - - Financial Institutions and Services - - - Investment Banking; Venture Capital; Brokerage
    • L24 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Contracting Out; Joint Ventures

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