IDEAS home Printed from https://ideas.repec.org/a/spr/cejnor/v17y2009i4p479-494.html
   My bibliography  Save this article

Non-cooperative investment in partnerships and their termination

Author

Listed:
  • Franz Wirl

Abstract

This paper investigates how partners (firms or husband and wife) should invest into an uncertain stock that provides a common good, when to stop investments and when to end their partnership. The assumption of lumpy investments leads to a real option problem which is solved for the cooperative and non-cooperative solutions. Yet despite the analytical solution, numerical means are necessary to investigate economic consequences: strong incentives to free ride under competition even turning one of the options—to stop investment at high stock levels—into one of a negative value; in contrast, divorce remains a positively valued option. Copyright Springer-Verlag 2009

Suggested Citation

  • Franz Wirl, 2009. "Non-cooperative investment in partnerships and their termination," 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. 17(4), pages 479-494, December.
  • Handle: RePEc:spr:cejnor:v:17:y:2009:i:4:p:479-494
    DOI: 10.1007/s10100-009-0107-1
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10100-009-0107-1
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s10100-009-0107-1?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. Gary S. Becker, 1981. "A Treatise on the Family," NBER Books, National Bureau of Economic Research, Inc, number beck81-1.
    2. Paola Manzini & Marco Mariotti, 2004. "Going Alone Together: Joint Outside Options in Bilateral Negotiations," Economic Journal, Royal Economic Society, vol. 114(498), pages 943-960, October.
    3. Fershtman, Chaim & Nitzan, Shmuel, 1991. "Dynamic voluntary provision of public goods," European Economic Review, Elsevier, vol. 35(5), pages 1057-1067, July.
    4. Steven Huddart & Pierre Jinghong Liang, 2003. "Accounting in Partnerships," American Economic Review, American Economic Association, vol. 93(2), pages 410-414, May.
    5. Bonte, Werner & Keilbach, Max, 2005. "Concubinage or marriage? Informal and formal cooperations for innovation," International Journal of Industrial Organization, Elsevier, vol. 23(3-4), pages 279-302, April.
    6. Dumas, Bernard, 1991. "Super contact and related optimality conditions," Journal of Economic Dynamics and Control, Elsevier, vol. 15(4), pages 675-685, October.
    7. Dockner Engelbert J. & Van Long Ngo, 1993. "International Pollution Control: Cooperative versus Noncooperative Strategies," Journal of Environmental Economics and Management, Elsevier, vol. 25(1), pages 13-29, July.
    8. M. R. Rosenzweig & Stark, O. (ed.), 1997. "Handbook of Population and Family Economics," Handbook of Population and Family Economics, Elsevier, edition 1, volume 1, number 1.
    9. Rowat, Colin, 2007. "Non-linear strategies in a linear quadratic differential game," Journal of Economic Dynamics and Control, Elsevier, vol. 31(10), pages 3179-3202, October.
    10. repec:bla:econom:v:69:y:2002:i:273:p:93-111 is not listed on IDEAS
    11. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    12. Feichtinger, Gustav & Wirl, Franz, 1993. "A Dynamic Variant of the Battle of the Sexes," International Journal of Game Theory, Springer;Game Theory Society, vol. 22(4), pages 359-380.
    13. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329.
    14. Dufwenberg, Martin, 2002. "Marital investments, time consistency and emotions," Journal of Economic Behavior & Organization, Elsevier, vol. 48(1), pages 57-69, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Fulvio Fontini & Katrin Millock & Michele Moretto, 2018. "Collective reputation with stochastic production and unknown willingness to pay for quality," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 20(2), pages 387-410, April.

    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. Javier Frutos & Guiomar Martín-Herrán, 2018. "Selection of a Markov Perfect Nash Equilibrium in a Class of Differential Games," Dynamic Games and Applications, Springer, vol. 8(3), pages 620-636, September.
    2. Rowat, Colin, 2007. "Non-linear strategies in a linear quadratic differential game," Journal of Economic Dynamics and Control, Elsevier, vol. 31(10), pages 3179-3202, October.
    3. Tasneem, Dina & Engle-Warnick, Jim & Benchekroun, Hassan, 2017. "An experimental study of a common property renewable resource game in continuous time," Journal of Economic Behavior & Organization, Elsevier, vol. 140(C), pages 91-119.
    4. Niko Jaakkola & Florian Wagener, 2020. "All symmetric equilibria in differential games with public goods," Tinbergen Institute Discussion Papers 20-020/II, Tinbergen Institute.
    5. Bård Harstad, 2016. "The Dynamics Of Climate Agreements," Journal of the European Economic Association, European Economic Association, vol. 14(3), pages 719-752, June.
    6. Santiago J. Rubio, 2002. "On The Coincidence Of The Feedback Nash And Stackelberg Equilibria In Economic Applications Of Differential Games," Working Papers. Serie AD 2002-11, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    7. Engelbert Dockner & Florian Wagener, 2014. "Markov perfect Nash equilibria in models with a single capital stock," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(3), pages 585-625, August.
    8. Benchekroun, Hassan & Long, Ngo Van, 2008. "The build-up of cooperative behavior among non-cooperative selfish agents," Journal of Economic Behavior & Organization, Elsevier, vol. 67(1), pages 239-252, July.
    9. Eggert, Wolfgang & Itaya, Jun-ichi & Mino, Kazuo, 2011. "A dynamic model of conflict and appropriation," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1), pages 167-182.
    10. Iyer, Sriya & Velu, Chander, 2006. "Real options and demographic decisions," Journal of Development Economics, Elsevier, vol. 80(1), pages 39-58, June.
    11. Kenji Fujiwara & Norimichi Matsueda, 2009. "Dynamic Voluntary Provision of Public Goods: A Generalization," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(1), pages 27-36, February.
    12. Fouad El Ouardighi & Konstantin Kogan & Giorgio Gnecco & Marcello Sanguineti, 2020. "Transboundary pollution control and environmental absorption efficiency management," Annals of Operations Research, Springer, vol. 287(2), pages 653-681, April.
    13. Colombo, Luca & Labrecciosa, Paola, 2021. "Dynamic oligopoly pricing with reference-price effects," European Journal of Operational Research, Elsevier, vol. 288(3), pages 1006-1016.
    14. Kenji Fujiwara, 2010. "When Are Voluntary Export Restraints Voluntary? A Differential Game Approach," Australian Economic Papers, Wiley Blackwell, vol. 49(2), pages 101-110, June.
    15. Charles Figuières, 2009. "Markov interactions in a class of dynamic games," Theory and Decision, Springer, vol. 66(1), pages 39-68, January.
    16. Franz Wirl, 2008. "Reversible stopping (“switching”) implies super contact," Computational Management Science, Springer, vol. 5(4), pages 393-401, October.
    17. Lambertini, Luca, 2021. "Regulating the tragedy of commons: Nonlinear feedback solutions of a differential game with a dual interpretation," Energy Economics, Elsevier, vol. 100(C).
    18. Nikos Ebel & Benteng Zou, 2009. "Underinvestment in public goods: The influence of state depended investment costs," DEM Discussion Paper Series 09-07, Department of Economics at the University of Luxembourg.
    19. Maristella Botticini & Aloysius Siow, 2003. "Why Dowries?," American Economic Review, American Economic Association, vol. 93(4), pages 1385-1398, September.
    20. Lamia Kandil & Hélène Perivier, 2017. "La division sexuée du travail dans les couples selon le statut marital en France - une étude à partir des enquêtes emploi du temps de 1985-1986, 1998-1999, et 2009-2010," Documents de Travail de l'OFCE 2017-03, Observatoire Francais des Conjonctures Economiques (OFCE).

    More about this item

    Keywords

    Stochastics; Real option game; Marriage; Divorce; J120; L140; C610;
    All these keywords.

    JEL classification:

    Statistics

    Access and download statistics

    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:cejnor:v:17:y:2009:i:4:p:479-494. 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.