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The Minimal Overlap Rule: Restrictions on Mergers for Creditors' Consensus

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Abstract

This paper proposes a notion of partial Additivity in bankruptcy, -Additivity. We show that this property, together with Anonymity and Continuity, identifies the Minimal Overlap rule, introduced by O'Neill (1982).

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  • Alcalde, José & Marco_Gil, María del Carmen & Silva, José A., 2012. "The Minimal Overlap Rule: Restrictions on Mergers for Creditors' Consensus," QM&ET Working Papers 12-1, University of Alicante, D. Quantitative Methods and Economic Theory.
  • Handle: RePEc:ris:qmetal:2012_001
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    1. Moreno-Ternero, Juan D. & Villar, Antonio, 2004. "The Talmud rule and the securement of agents' awards," Mathematical Social Sciences, Elsevier, vol. 47(2), pages 245-257, March.
    2. Chun, Youngsub & Thomson, William, 2005. "Convergence under replication of rules to adjudicate conflicting claims," Games and Economic Behavior, Elsevier, vol. 50(2), pages 129-142, February.
    3. Stefano Moretti & Fioravante Patrone, 2008. "Transversality of the Shapley value," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(1), pages 1-41, July.
    4. José Alcalde & María Marco & José Silva, 2008. "The minimal overlap rule revisited," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(1), pages 109-128, June.
    5. Alcalde, José & Marco-Gil, María del Carmen & Silva-Reus, José A., 2012. "Tax Burden Degree as a Tool to Design Tax Systems," QM&ET Working Papers 12-11, University of Alicante, D. Quantitative Methods and Economic Theory.
    6. Shrieves, Ronald E. & Stevens, Donald L., 1979. "Bankruptcy Avoidance as a Motive For Merger," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 14(03), pages 501-515, September.
    7. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    8. José-Manuel Giménez-Gómez & M. Marco-Gil, 2014. "A new approach for bounding awards in bankruptcy problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(2), pages 447-469, August.
    9. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
    10. Utz Weitzel & Killian J. McCarthy, 2011. "Theory and evidence on mergers and acquisitions by small and medium enterprises," International Journal of Entrepreneurship and Innovation Management, Inderscience Enterprises Ltd, vol. 14(2/3), pages 248-275.
    11. Peters, Hans J M, 1986. "Simultaneity of Issues and Additivity in Bargaining," Econometrica, Econometric Society, vol. 54(1), pages 153-169, January.
    12. Gustavo Bergantiños & Luciano Méndez-Naya, 2001. "Additivity in bankruptcy problems and in allocation problems," Spanish Economic Review, Springer;Spanish Economic Association, vol. 3(3), pages 223-229.
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    Cited by:

    1. 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.
    2. repec:eee:matsoc:v:89:y:2017:i:c:p:43-49 is not listed on IDEAS

    More about this item

    Keywords

    Bankruptcy Problems; Additivity; Minimal Overlap Rule;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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