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A noncooperative approach to bankruptcy problems with an endogenous estate

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  • Emin Karagözoğlu

Abstract

We introduce a new class of bankruptcy problems in which the value of the estate is endogenous and depends on agents’ investment decisions. There are two investment alternatives: investing in a company (risky asset) and depositing money into a savings account (risk-free asset). Bankruptcy is possible only for the risky asset. We define a game between agents each of which aims to maximize his expected payoff by choosing an investment alternative and a company management which aims to maximize profits by choosing a bankruptcy rule. Our agents are differentiated by their incomes. We consider three most prominent bankruptcy rules in our base model: the proportional rule, the constrained equal awards rule and the constrained equal losses rule. We show that only the proportional rule is a part of any pure strategy subgame perfect Nash equilibrium. This result is robust to changes in income distribution in the economy and can be extended to a larger set of bankruptcy rules and multiple types. However, extension to multiple company framework with competition leads to equilibria where the noncooperative support for the proportional rule disappears. Copyright Springer Science+Business Media New York 2014

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  • Emin Karagözoğlu, 2014. "A noncooperative approach to bankruptcy problems with an endogenous estate," Annals of Operations Research, Springer, vol. 217(1), pages 299-318, June.
    • Handle: RePEc:spr:annopr:v:217:y:2014:i:1:p:299-318:10.1007/s10479-014-1588-4
    DOI: 10.1007/s10479-014-1588-4
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    Cited by:

    1. Cappelen, Alexander W. & Luttens, Roland I. & Sørensen, Erik Ø. & Tungodden, Bertil, 2015. "Fairness in bankruptcy situations: an experimental study," Discussion Paper Series in Economics 17/2015, Norwegian School of Economics, Department of Economics.
    2. Koster, Maurice & Boonen, Tim J., 2019. "Constrained stochastic cost allocation," Mathematical Social Sciences, Elsevier, vol. 101(C), pages 20-30.
    3. Boonen, Tim J., 2019. "Equilibrium recoveries in insurance markets with limited liability," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 38-45.
    4. Doudou Gong & Genjiu Xu & Xuanzhu Jin & Loyimee Gogoi, 2022. "A sequential partition method for non-cooperative games of bankruptcy problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(2), pages 359-379, July.
    5. Karagozoglu, E., 2008. "Distributive concerns in the bankruptcy problem with an endogenous estate," Research Memorandum 032, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    6. J. Arin & V. Feltkamp & M. Montero, 2015. "A bargaining procedure leading to the serial rule in games with veto players," Annals of Operations Research, Springer, vol. 229(1), pages 41-66, June.
    7. Büyükboyacı, Mürüvvet & Gürdal, Mehmet Y. & Kıbrıs, Arzu & Kıbrıs, Özgür, 2019. "An experimental study of the investment implications of bankruptcy laws," Journal of Economic Behavior & Organization, Elsevier, vol. 158(C), pages 607-629.
    8. Schumacher, Johannes M., 2021. "Ex-ante estate division under strong Pareto efficiency," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 10-24.

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