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Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: an update

  • William Thomson

    (University of Rochester)

Registered author(s):

    A group of agents have claims on a resource, but there is not enough of it to honor all of the claims. How should it be divided? A group of agents decide to undertake a public project that they can jointly afford. How much should each of them contribute? This essay is an update of Thomson (2003), a survey of the literature devoted to the study of such problems.

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    File URL: http://rcer.econ.rochester.edu/RCERPAPERS/rcer_578.pdf
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    Paper provided by University of Rochester - Center for Economic Research (RCER) in its series RCER Working Papers with number 578.

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    Length: 64 pages
    Date of creation: Aug 2013
    Date of revision:
    Handle: RePEc:roc:rocher:578
    Contact details of provider: Postal: University of Rochester, Center for Economic Research, Department of Economics, Harkness 231 Rochester, New York 14627 U.S.A.

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    1. Carmen Herrero & Ricardo Martínez, 2008. "Balanced allocation methods for claims problems with indivisibilities," Social Choice and Welfare, Springer, vol. 30(4), pages 603-617, May.
    2. Habis, Helga & Herings, P. Jean-Jacques, 2011. "Transferable utility games with uncertainty," Journal of Economic Theory, Elsevier, vol. 146(5), pages 2126-2139, September.
    3. Simon Gächter & Arno Riedl, 2005. "Moral Property Rights in Bargaining with Infeasible Claims," Management Science, INFORMS, vol. 51(2), pages 249-263, February.
    4. MORENO-TERNERO, Juan D. & ROEMER, John E., 2008. "Axiomatic resource allocation for heterogeneous agents," CORE Discussion Papers 2008018, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Endre Bjørndal & Kurt Jörnsten, 2010. "Flow sharing and bankruptcy games," International Journal of Game Theory, Springer, vol. 39(1), pages 11-28, March.
    6. Carmen Herrero & Juan Moreno-Ternero & Giovanni Ponti, 2009. "On the adjudication of conflicting claims: an experimental study," Social Choice and Welfare, Springer, vol. 33(3), pages 517-519, September.
    7. Quant, M. & Borm, P.E.M. & Hendrickx, R.L.P. & Zwikker, P., 2006. "Compromise solutions based on bankruptcy," Other publications TiSEM 89479e71-abee-42d9-9bba-3, Tilburg University, School of Economics and Management.
    8. Chambers, Christopher P., 2006. "Asymmetric rules for claims problems without homogeneity," Games and Economic Behavior, Elsevier, vol. 54(2), pages 241-260, February.
    9. Ansink, Erik, 2011. "The Arctic scramble: Introducing claims in a contest model," European Journal of Political Economy, Elsevier, vol. 27(4), pages 693-707.
    10. Dagan, Nir & Serrano, Roberto & Volij, Oscar, 1997. "A Noncooperative View of Consistent Bankruptcy Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 55-72, January.
    11. Robert Aumann, 2010. "Some non-superadditive games, and their Shapley values, in the Talmud," International Journal of Game Theory, Springer, vol. 39(1), pages 3-10, March.
    12. MORENO-TERNERO, Juan D. & ROEMER, John E., . "A common ground for resource and welfare egalitarianism," CORE Discussion Papers RP -2400, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    13. T. Marchant, 2004. "Rationing : dynamic considerations, equivalent sacrifice and links between the two approaches," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 04/244, Ghent University, Faculty of Economics and Business Administration.
    14. Ignacio García-Jurado & Julio González-Díaz & Antonio Villar, 2006. "A Non-cooperative Approach to Bankruptcy Problems," Spanish Economic Review, Springer, vol. 8(3), pages 189-197, September.
    15. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
    16. Marco Mariotti & Antonio Villar, 2005. "The Nash rationing problem," International Journal of Game Theory, Springer, vol. 33(3), pages 367-377, 09.
    17. Diego Dominguez, 2007. "Lower bounds and recursive methods for the problem of adjudicating conflicting claims," Working Papers 0705, Centro de Investigacion Economica, ITAM.
    18. Chun, Y. & Thomson, W., 1989. "Bargaining Problems With Claims," RCER Working Papers 189, University of Rochester - Center for Economic Research (RCER).
    19. Gustavo Bergantiños & Luciano Méndez-Naya, 2001. "Additivity in bankruptcy problems and in allocation problems," Spanish Economic Review, Springer, vol. 3(3), pages 223-229.
    20. Jens L. Hougaard & Juan D. Moreno-Ternero & Lars P. Østerdal, 2011. "A Unifying Framework for the Problem of Adjudicating Conflicting Claims," Discussion Papers 11-03, University of Copenhagen. Department of Economics.
    21. Kasajima, Yoichi & Velez, Rodrigo A., 2010. "Non-proportional inequality preservation in gains and losses," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1079-1092, November.
    22. Kaminski, Marek M., 2006. "Parametric rationing methods," Games and Economic Behavior, Elsevier, vol. 54(1), pages 115-133, January.
    23. Chambers, Christopher P. & Thomson, William, 2002. "Group order preservation and the proportional rule for the adjudication of conflicting claims," Mathematical Social Sciences, Elsevier, vol. 44(3), pages 235-252, December.
    24. Lefebvre, Marianne, 2013. "Can Rationing Rules for Common Resources Impact Self-insurance Decisions?," Strategic Behavior and the Environment, now publishers, vol. 3(3), pages 185-222, March.
    25. Dagan, Nir & Volij, Oscar, 1993. "The bankruptcy problem: a cooperative bargaining approach," Mathematical Social Sciences, Elsevier, vol. 26(3), pages 287-297, November.
    26. Chang, Chih & Hu, Cheng-Cheng, 2008. "A non-cooperative interpretation of the f-just rules of bankruptcy problems," Games and Economic Behavior, Elsevier, vol. 63(1), pages 133-144, May.
    27. Nir Dagan, 1996. "New characterizations of old bankruptcy rules," Social Choice and Welfare, Springer, vol. 13(1), pages 51-59, January.
    28. Kıbrıs, Özgür & Kıbrıs, Arzu, 2013. "On the investment implications of bankruptcy laws," Games and Economic Behavior, Elsevier, vol. 80(C), pages 85-99.
    29. Rodica Branzei & Giulio Ferrari & Vito Fragnelli & Stef Tijs, 2008. "A Flow Approach to Bankruptcy Problems," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 2(2), pages 146-153, September.
    30. Bergantinos, Gustavo & Lorenzo, Leticia, 2008. "The equal award principle in problems with constraints and claims," European Journal of Operational Research, Elsevier, vol. 188(1), pages 224-239, July.
    31. BOSMANS, Kristof & SCHOKKAERT, Erik, . "Equality preference in the claims problem: a questionnaire study of cuts in earnings and pensions," CORE Discussion Papers RP -2166, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    32. Brânzei, R. & Dimitrov, D.A. & Pickl, S. & Tijs, S.H., 2004. "How to cope with division problems under interval uncertainty of claims?," Other publications TiSEM ded4eab4-b710-424b-a2cc-5, Tilburg University, School of Economics and Management.
    33. Marieke Quant & Peter Borm, 2011. "Random conjugates of bankruptcy rules," Social Choice and Welfare, Springer, vol. 36(2), pages 249-266, February.
    34. Antonio Villar Notario & Carmen Herrero Blanco, 2000. "The Three Musketeers: Four Classical Solutions To Bankruptcy Problems," Working Papers. Serie AD 2000-23, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    35. José Alcalde & María Marco & José Silva, 2005. "Bankruptcy games and the Ibn Ezra’s proposal," Economic Theory, Springer, vol. 26(1), pages 103-114, 07.
    36. Rodica Branzei & Sirma Zeynep Alparslan Gok, 2008. "Bankruptcy problems with interval uncertainty," Economics Bulletin, AccessEcon, vol. 3(56), pages 1-10.
    37. Özgür Kıbrıs, 2012. "A revealed preference analysis of solutions to simple allocation problems," Theory and Decision, Springer, vol. 72(4), pages 509-523, April.
    38. Juan de Dios Moreno Ternero & Antonio Villar Notario, 2003. "The Talmud Rule And The Securement Of Agents? Awards," Working Papers. Serie AD 2003-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    39. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    40. repec:ebl:ecbull:v:3:y:2003:i:9:p:1-8 is not listed on IDEAS
    41. Orshan, Gooni & Zarzuelo, Jose M., 2000. "The Bilateral Consistent Prekernel for NTU Games," Games and Economic Behavior, Elsevier, vol. 32(1), pages 67-84, July.
    42. Dinko Dimitrov & Stef Tijs & Rodica Branzei, 2003. "Shapley-like values for interval bankruptcy games," Economics Bulletin, AccessEcon, vol. 3(9), pages 1-8.
    43. Atlamaz, Murat & Berden, Caroline & Peters, Hans & Vermeulen, Dries, 2011. "Non-cooperative solutions for estate division problems," Games and Economic Behavior, Elsevier, vol. 73(1), pages 39-51, September.
    44. Gustavo Bergantiños & Juan Vidal-Puga, 2003. "Additive rules in bankruptcy problems and other related problems," Game Theory and Information 0304001, EconWPA.
    45. 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.
    46. Peris, Josep E. & Jiménez-Gómez, José M., 2012. "A Proportional Approach to Bankruptcy Problems with a guaranteed minimum," QM&ET Working Papers 12-7, Universidad de Alicante, Departamento de Métodos Cuantitativos y Teoría Económica.
    47. Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
    48. Diego Dominguez & William Thomson, 2004. "A New Solution to the Problem of Adjudicating Conflicting Claims," RCER Working Papers 511, University of Rochester - Center for Economic Research (RCER).
    49. Hougaard, Jens Leth & Osterdal, Lars Peter, 2005. "Inequality preserving rationing," Economics Letters, Elsevier, vol. 87(3), pages 355-360, June.
    50. Tamás Fleiner & Balázs Sziklai, 2012. "The Nucleolus Of The Bankruptcy Problem By Hydraulic Rationing," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 1250007-1-1.
    51. Quant, M. & Borm, P.E.M. & Maaten, R., 2005. "A Concede-and-Divide Rule for Bankruptcy Problems," Discussion Paper 2005-20, Tilburg University, Center for Economic Research.
    52. Ashlagi, Itai & Karagözoğlu, Emin & Klaus, Bettina, 2012. "A non-cooperative support for equal division in estate division problems," Mathematical Social Sciences, Elsevier, vol. 63(3), pages 228-233.
    53. Rodica Branzei & Marco Dall'aglio, 2009. "Allocation rules incorporating interval uncertainty," Operations Research and Decisions, Wroclaw University of Technology, Institute of Organization and Management, vol. 2, pages 19-28.
    54. Albizuri, M.J. & Leroux, J. & Zarzuelo, J.M., 2010. "Updating claims in bankruptcy problems," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 144-148, September.
    55. Luis Corchón & Carmen Herrero Blanco, 1995. "A Decent Proposal," Working Papers. Serie AD 1995-25, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    56. Kristof Bosmans & Luc Lauwers, 2007. "Lorenz comparisons of nine rules for the adjudication of conflicting claims," Center for Economic Studies - Discussion papers ces0705, Katholieke Universiteit Leuven, Centrum voor Economische Studiën.
    57. repec:ebl:ecbull:v:3:y:2008:i:56:p:1-10 is not listed on IDEAS
    58. Ju, Biung-Ghi & Miyagawa, Eiichi & Sakai, Toyotaka, 2007. "Non-manipulable division rules in claim problems and generalizations," Journal of Economic Theory, Elsevier, vol. 132(1), pages 1-26, January.
    59. José-Manuel Giménez-Gómez & M. Marco-Gil, 2014. "A new approach for bounding awards in bankruptcy problems," Social Choice and Welfare, Springer, vol. 43(2), pages 447-469, August.
    60. Youngsub Chun & Junghoon Lee, 2007. "On the convergence of the random arrival rule in large claims problems," International Journal of Game Theory, Springer, vol. 36(2), pages 259-273, October.
    61. Chun-Hsien Yeh, 2006. "Protective Properties and the Constrained Equal Awards Rule for Claims Problems: A Note," Social Choice and Welfare, Springer, vol. 27(2), pages 221-230, October.
    62. Calleja, Pedro & Borm, Peter & Hendrickx, Ruud, 2005. "Multi-issue allocation situations," European Journal of Operational Research, Elsevier, vol. 164(3), pages 730-747, August.
    63. Bergantinos, Gustavo & Vidal-Puga, Juan J., 2006. "Additive rules in discrete allocation problems," European Journal of Operational Research, Elsevier, vol. 172(3), pages 971-978, August.
    64. Arin, Javier & Inarra, Elena, 1998. "A Characterization of the Nucleolus for Convex Games," Games and Economic Behavior, Elsevier, vol. 23(1), pages 12-24, April.
    65. Yeh, Chun-Hsien, 2004. "Sustainability, exemption, and the constrained equal awards rule: a note," Mathematical Social Sciences, Elsevier, vol. 47(1), pages 103-110, January.
    66. 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.
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