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Stochastic Bankruptcy Games

Author

Listed:
  • Helga Habis

    (Institute of Economics, Hungarian Academy of Sciences Department of Microeconomics, Corvinus University of Budapest)

  • P. Jean-Jacques Herings

    (Department of Economics, Universiteit Maastricht)

Abstract
We study bankruptcy games where the estate and the claims have stochastic values. We use the Weak Sequential Core as the solution concept for such games.We test the stability of a number of well known division rules in this stochastic setting and find that most of them are unstable, except for the Constrained Equal Awards rule, which is the only one belonging to the Weak Sequential Core.

Suggested Citation

  • Helga Habis & P. Jean-Jacques Herings, 2012. "Stochastic Bankruptcy Games," CERS-IE WORKING PAPERS 1205, Institute of Economics, Centre for Economic and Regional Studies.
    • Handle: RePEc:has:discpr:1205
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    References listed on IDEAS

    as
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    13. repec:ebl:ecbull:v:3:y:2003:i:9:p:1-8 is not listed on IDEAS
    14. Habis, Helga & Herings, P. Jean-Jacques, 2011. "Transferable utility games with uncertainty," Journal of Economic Theory, Elsevier, vol. 146(5), pages 2126-2139, September.
    15. Zsombor Z. Méder & András Simonovits & János Vinczeb, 2012. "Tax Morale and Tax Evasion: Social Preferences and Bounded Rationality," Economic Analysis and Policy, Elsevier, vol. 42(2), pages 171-188, September.
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    Citations

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    Cited by:

    1. Jaka Cepec & Peter Grajzl, 0. "Management turnover, ownership change, and post-bankruptcy failure of small businesses," Small Business Economics, Springer, vol. 0, pages 1-27.
    2. Jean-François Caulier & Michel Grabisch & Agnieszka Rusinowska, 2015. "An allocation rule for dynamic random network formation processes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(2), pages 283-313, October.
    3. Mirjam Groote Schaarsberg & Hans Reijnierse & Peter Borm, 2018. "On solving mutual liability problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 87(3), pages 383-409, June.
    4. William Thomson, 2013. "Game-Theoretic Analysis Of Bankruptcy And Taxation Problems: Recent Advances," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 1-14.
    5. Habis, Helga, 2012. "Sztochasztikus csődjátékok - avagy hogyan osszunk szét egy bizonytalan méretű tortát? [Stochastic bankruptcy games. How can a cake of uncertain dimensions be divided?]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(12), pages 1299-1310.
    6. Koster, Maurice & Boonen, Tim J., 2019. "Constrained stochastic cost allocation," Mathematical Social Sciences, Elsevier, vol. 101(C), pages 20-30.
    7. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    8. Groote Schaarsberg, M. & Reijnierse, J.H. & Borm, P.E.M., 2013. "On Solving Liability Problems," Other publications TiSEM b7a1e268-bd6d-4177-8056-8, Tilburg University, School of Economics and Management.
    9. Acosta-Vega, Rick K. & Algaba, Encarnación & Sánchez-Soriano, Joaquín, 2023. "Design of water quality policies based on proportionality in multi-issue problems with crossed claims," European Journal of Operational Research, Elsevier, vol. 311(2), pages 777-788.
    10. repec:hal:pseose:halshs-01207823 is not listed on IDEAS
    11. Jaka Cepec & Peter Grajzl, 2021. "Management turnover, ownership change, and post-bankruptcy failure of small businesses," Small Business Economics, Springer, vol. 57(1), pages 555-581, June.
    12. Andrea Gallice, 2019. "Bankruptcy problems with reference-dependent preferences," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 311-336, March.
    13. Boonen, Tim J., 2019. "Equilibrium recoveries in insurance markets with limited liability," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 38-45.
    14. Schumacher, Johannes M., 2021. "Ex-ante estate division under strong Pareto efficiency," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 10-24.
    15. Jingyi Xue, 2018. "Fair division with uncertain needs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 105-136, June.
    16. Sinan Ertemel & Rajnish Kumar, 2018. "Proportional rules for state contingent claims," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 229-246, March.
    17. Chatterjee, Siddharth & Ertemel, Sinan & Kumar, Rajnish, 2023. "Rationing rules for risky claims," Journal of Mathematical Economics, Elsevier, vol. 108(C).
    18. Emin Karagözoğlu & Kerim Keskin & Çağrı Sağlam, 2023. "(In)efficiency and equitability of equilibrium outcomes in a family of bargaining games," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(1), pages 175-193, March.

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    More about this item

    Keywords

    transferable utility games; uncertainty; weak sequential core; bankruptcy games;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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