IDEAS home Printed from https://ideas.repec.org/a/spr/grdene/v29y2020i6d10.1007_s10726-020-09700-3.html
   My bibliography  Save this article

Core Allocations in Co-investment Problems

Author

Listed:
  • Josep Maria Izquierdo

    (University of Barcelona)

  • Carlos Rafels

    (University of Barcelona)

Abstract

In a theoretical co-investment problem, a set of agents face a surplus-sharing situation with a single input and a single output exhibiting increasing average returns. All agents contribute their respective inputs and expect part of the collective output. Focusing on the core of the problem, we analyze whether a core allocation of the output is acceptable or compatible with a variation of input contributions, where larger payoffs are expected by those agents whose contribution has increased. We state a necessary and sufficient condition for a core allocation to be acceptable. We also introduce and study the acceptable core, that is, those core allocations acceptable for any possible increase of inputs. Finally, we axiomatically characterize when a set-solution that contains acceptable core allocations shrinks into the proportional allocation.

Suggested Citation

  • Josep Maria Izquierdo & Carlos Rafels, 2020. "Core Allocations in Co-investment Problems," Group Decision and Negotiation, Springer, vol. 29(6), pages 1157-1180, December.
    • Handle: RePEc:spr:grdene:v:29:y:2020:i:6:d:10.1007_s10726-020-09700-3
    DOI: 10.1007/s10726-020-09700-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10726-020-09700-3
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10726-020-09700-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Borm, P.E.M. & De Waegenaere, A.M.B. & Rafels, C. & Suijs, J.P.M. & Tijs, S.H. & Timmer, J.B., 1999. "Cooperation in Capital Deposits," Discussion Paper 1999-31, Tilburg University, Center for Economic Research.
    2. van Gulick, Gerwald & Borm, Peter & De Waegenaere, Anja & Hendrickx, Ruud, 2010. "Deposit games with reinvestment," European Journal of Operational Research, Elsevier, vol. 200(3), pages 788-799, February.
    3. Paula Corcho & José Ferreira, 2003. "Generalized externality games," Theory and Decision, Springer, vol. 54(2), pages 163-184, March.
    4. Liu, Jiuqiang & Tian, Hai-Yan, 2014. "Existence of fuzzy cores and generalizations of the K–K–M–S theorem," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 148-152.
    5. Lester G. Telser, 1994. "The Usefulness of Core Theory in Economics," Journal of Economic Perspectives, American Economic Association, vol. 8(2), pages 151-164, Spring.
    6. Bourreau, Marc & Cambini, Carlo & Hoernig, Steffen, 2012. "Ex ante regulation and co-investment in the transition to next generation access," Telecommunications Policy, Elsevier, vol. 36(5), pages 399-406.
    7. Krishnan S. Anand & Ravi Aron, 2003. "Group Buying on the Web: A Comparison of Price-Discovery Mechanisms," Management Science, INFORMS, vol. 49(11), pages 1546-1562, November.
    8. Izquierdo, Josep M. & Rafels, Carles, 2001. "Average Monotonic Cooperative Games," Games and Economic Behavior, Elsevier, vol. 36(2), pages 174-192, August.
    9. Nobusumi Sagara & Milan Vlach, 2011. "A new class of convex games on σ-algebras and the optimal partitioning of measurable spaces," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(3), pages 617-630, August.
    10. Mirjam Groote Schaarsberg & Peter Borm & Herbert Hamers & Hans Reijnierse, 2013. "Game theoretic analysis of maximum cooperative purchasing situations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(8), pages 607-624, December.
    11. Khavul, Susanna & Deeds, David, 2016. "The Evolution of Initial Co-investment Syndications in an Emerging Venture Capital Market," Journal of International Management, Elsevier, vol. 22(3), pages 280-293.
    12. Camilla Di Luca & Josep M Izquierdo & Carles Rafels, 2013. "Remarks on the proportional distribution in increasing return to scale problems," Economics Bulletin, AccessEcon, vol. 33(4), pages 2938-2947.
    13. Bourreau, Marc & Cambini, Carlo & Hoernig, Steffen, 2018. "Cooperative investment, access, and uncertainty," International Journal of Industrial Organization, Elsevier, vol. 56(C), pages 78-106.
    14. Braun, Reiner & Jenkinson, Tim & Schemmerl, Christoph, 2020. "Adverse selection and the performance of private equity co-investments," Journal of Financial Economics, Elsevier, vol. 136(1), pages 44-62.
    15. Casajus, André & Huettner, Frank, 2014. "Weakly monotonic solutions for cooperative games," Journal of Economic Theory, Elsevier, vol. 154(C), pages 162-172.
    16. Eric Friedman, 2004. "Strong monotonicity in surplus sharing," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(3), pages 643-658, March.
    17. repec:tiu:tiutis:9192543e-378d-4f59-aac6-bbc3200b0dcb is not listed on IDEAS
    18. Andrew Metrick, 2010. "The Economics of Private Equity Funds," The Review of Financial Studies, Society for Financial Studies, vol. 23(6), pages 2303-2341, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lerner, Josh & Mao, Jason & Schoar, Antoinette & Zhang, Nan R., 2022. "Investing outside the box: Evidence from alternative vehicles in private equity," Journal of Financial Economics, Elsevier, vol. 143(1), pages 359-380.
    2. Dahya, Jay & Wu, Betty (H.T.), 2024. "Social capital, syndication, and investment performance: Evidence from PE investing in LBOs," International Review of Financial Analysis, Elsevier, vol. 95(PA).
    3. Juliane Begenau & Emil N. Siriwardane, 2024. "Fee Variation in Private Equity," Journal of Finance, American Finance Association, vol. 79(2), pages 1199-1247, April.
    4. Abrardi, Laura & Cambini, Carlo, 2019. "Ultra-fast broadband investment and adoption: A survey," Telecommunications Policy, Elsevier, vol. 43(3), pages 183-198.
    5. Carolin Bock & Maximilian Schmidt, 2015. "Should I stay, or should I go? – How fund dynamics influence venture capital exit decisions," Review of Financial Economics, John Wiley & Sons, vol. 27(1), pages 68-82, November.
    6. Josh Lerner & Ramana Nanda, 2020. "Venture Capital's Role in Financing Innovation: What We Know and How Much We Still Need to Learn," Journal of Economic Perspectives, American Economic Association, vol. 34(3), pages 237-261, Summer.
    7. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2022. "Monotonicity in sharing the revenues from broadcasting sports leagues," European Journal of Operational Research, Elsevier, vol. 297(1), pages 338-346.
    8. Houngbonon, Georges Vivien & Ivaldi, Marc & Palikot, Emil & Strusani, Davide, 2023. "The Impact of Shared Telecom Infrastructure on Digital Connectivity and Inclusion," TSE Working Papers 23-1427, Toulouse School of Economics (TSE).
    9. Leroux, Justin, 2004. "Pooling Private Technologies: Improving upon Autarky," Working Papers 2004-08, Rice University, Department of Economics.
    10. Kräussl, Roman & Kräussl, Zsofia & Pollet, Joshua & Rinne, Kalle, 2024. "The performance of marketplace lenders," Journal of Banking & Finance, Elsevier, vol. 162(C).
    11. Bienz, Carsten & Thorburn, Karin & Walz, Uwe, 2019. "Ownership, Wealth, and Risk Taking: Evidence on Private Equity Fund Managers," SAFE Working Paper Series 126, Leibniz Institute for Financial Research SAFE, revised 2019.
    12. Y. Sekou Bermiss & Benjamin L. Hallen & Rory McDonald & Emily C. Pahnke, 2017. "Entrepreneurial beacons: The Yale endowment, run‐ups, and the growth of venture capital," Strategic Management Journal, Wiley Blackwell, vol. 38(3), pages 545-565, March.
    13. Parcu, Pier Luigi & Silvestri, Virginia, 2013. "Electronic communications regulation in Europe: An overview of past and future problems," 24th European Regional ITS Conference, Florence 2013 88509, International Telecommunications Society (ITS).
    14. Bourreau, Marc & Cambini, Carlo & Hoernig, Steffen & Vogelsang, Ingo, 2021. "Co-investment, uncertainty, and opportunism:ex-Ante and ex-Post remedies," Information Economics and Policy, Elsevier, vol. 56(C).
    15. Ozen, U. & Slikker, M. & Norde, H.W., 2007. "A General Framework for Cooperation under Uncertainty," Discussion Paper 2007-57, Tilburg University, Center for Economic Research.
    16. Gompers, Paul & Kaplan, Steven N. & Mukharlyamov, Vladimir, 2016. "What do private equity firms say they do?," Journal of Financial Economics, Elsevier, vol. 121(3), pages 449-476.
    17. Andrew Ang & Dimitris Papanikolaou & Mark M. Westerfield, 2014. "Portfolio Choice with Illiquid Assets," Management Science, INFORMS, vol. 60(11), pages 2737-2761, November.
    18. Norbäck, Pehr-Johan & Persson, Lars & Tåg, Joacim, 2022. "Risky Business: Venture Capital, Pivoting and Scaling," Working Paper Series 1444, Research Institute of Industrial Economics, revised 15 Apr 2024.
    19. Guidi, Marco G.D. & Hillier, Joe & Tarbert, Heather, 2010. "Successfully reshaping the ownership relationship by reducing ‘moral debt’ and justly distributing residual claims: The cases from Scott Bader Commonwealth and the John Lewis Partnership," CRITICAL PERSPECTIVES ON ACCOUNTING, Elsevier, vol. 21(4), pages 318-328.
    20. Angelou, Georgios N. & Economides, Anastasios A., 2014. "Investment flexibility and competition modeling for broadband business," Telecommunications Policy, Elsevier, vol. 38(5), pages 438-448.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:grdene:v:29:y:2020:i:6:d:10.1007_s10726-020-09700-3. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.