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Non-cooperative investment in partnerships and their termination

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  • 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
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    References listed on IDEAS

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    1. Gary S. Becker, 1981. "A Treatise on the Family," NBER Books, National Bureau of Economic Research, Inc, number beck81-1, March.
    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. Wirl, Franz & Feichtinger, Gustav, 2002. "Intrafamiliar Consumption and Saving under Altruism and Wealth Considerations," Economica, London School of Economics and Political Science, vol. 69(273), pages 93-111, February.
    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.
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    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.

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    Keywords

    Stochastics; Real option game; Marriage; Divorce; J120; L140; C610;
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