IDEAS home Printed from https://ideas.repec.org/a/spr/grdene/v26y2017i2d10.1007_s10726-016-9489-3.html
   My bibliography  Save this article

A Sequential Allocation Problem: The Asymptotic Distribution of Resources

Author

Listed:
  • António Osório

    (Universitat Rovira i Virgili)

Abstract

In this paper, we consider a sequential allocation problem with n individuals. The first individual can consume any amount of a resource, leaving the remainder for the second individual, and so on. Motivated by the limitations associated with the cooperative or non-cooperative solutions, we propose a new approach from basic definitions of representativeness and equal treatment. The result is a unique asymptotic allocation rule for any number of individuals. We show that it satisfies a set of desirable properties.

Suggested Citation

  • António Osório, 2017. "A Sequential Allocation Problem: The Asymptotic Distribution of Resources," Group Decision and Negotiation, Springer, vol. 26(2), pages 357-377, March.
    • Handle: RePEc:spr:grdene:v:26:y:2017:i:2:d:10.1007_s10726-016-9489-3
    DOI: 10.1007/s10726-016-9489-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10726-016-9489-3
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10726-016-9489-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Kahneman, Daniel & Knetsch, Jack L & Thaler, Richard H, 1986. "Fairness and the Assumptions of Economics," The Journal of Business, University of Chicago Press, vol. 59(4), pages 285-300, October.
    2. Bonein, Aurélie & Serra, Daniel, 2007. "Another experimental look at reciprocal behavior: indirect reciprocity," MPRA Paper 3257, University Library of Munich, Germany, revised Mar 2007.
    3. Erik Ansink & Hans-Peter Weikard, 2012. "Sequential sharing rules for river sharing problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 187-210, February.
    4. Parrachino, Irene & Dinar, Ariel & Patrone, Fioravante, 2006. "Cooperative game theory and its application to natural, environmental, and water resource issues : 3. application to water resources," Policy Research Working Paper Series 4074, The World Bank.
    5. Harold Houba, 2008. "Computing Alternating Offers And Water Prices In Bilateral River Basin Management," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(03), pages 257-278.
    6. William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 257-291, December.
    7. Christoph Engel, 2011. "Dictator games: a meta study," Experimental Economics, Springer;Economic Science Association, vol. 14(4), pages 583-610, November.
    8. 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.
    9. Ambec, Stefan & Dinar, Ariel & McKinney, Daene, 2013. "Water sharing agreements sustainable to reduced flows," Journal of Environmental Economics and Management, Elsevier, vol. 66(3), pages 639-655.
    10. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
    11. D. Kilgour & Ariel Dinar, 2001. "Flexible Water Sharing within an International River Basin," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 18(1), pages 43-60, January.
    12. Gunter Bahr & Till Requate, 2014. "Reciprocity and Giving in a Consecutive Three-Person Dictator Game with Social Interaction," German Economic Review, Verein für Socialpolitik, vol. 15(3), pages 374-392, August.
    13. P. Herings & Arkadi Predtetchinski, 2012. "Sequential share bargaining," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 301-323, May.
    14. Guth, Werner & Schmittberger, Rolf & Schwarze, Bernd, 1982. "An experimental analysis of ultimatum bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 367-388, December.
    15. William Thomson, 2007. "Cost allocation and airport problems," RCER Working Papers 537, University of Rochester - Center for Economic Research (RCER).
    16. Gary Charness & Matthias Sutter, 2012. "Groups Make Better Self-Interested Decisions," Journal of Economic Perspectives, American Economic Association, vol. 26(3), pages 157-176, Summer.
    17. Wang, Yuntong, 2011. "Trading water along a river," Mathematical Social Sciences, Elsevier, vol. 61(2), pages 124-130, March.
    18. Zara, Stefano & Dinar, Ariel & Patrone, Fioravante, 2006. "Cooperative game theory and its application to natural, environmental, and water resource issues : 2. application to natural and environmental resources," Policy Research Working Paper Series 4073, The World Bank.
    19. Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
    20. Colin F. Camerer & Richard H. Thaler, 1995. "Anomalies: Ultimatums, Dictators and Manners," Journal of Economic Perspectives, American Economic Association, vol. 9(2), pages 209-219, Spring.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Osório, António, 2017. "Self-interest and equity concerns: A behavioural allocation rule for operational problems," European Journal of Operational Research, Elsevier, vol. 261(1), pages 205-213.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Osório, António (António Miguel), 2016. "A Sequential Allocation Problem: The Asymptotic Distribution of Resources," Working Papers 2072/266574, Universitat Rovira i Virgili, Department of Economics.
    2. Hurt, Wesley & Osório, António (António Miguel), 2014. "A Sequential Allocation Problem: The Asymptotic Distribution of Resources," Working Papers 2072/237596, Universitat Rovira i Virgili, Department of Economics.
    3. Osorio, Antonio, 2014. "A Sequential Allocation Problem: The Asymptotic Distribution of Resources," MPRA Paper 56690, University Library of Munich, Germany.
    4. Osório, António, 2017. "Self-interest and equity concerns: A behavioural allocation rule for operational problems," European Journal of Operational Research, Elsevier, vol. 261(1), pages 205-213.
    5. Osório, António (António Miguel), 2017. "Self-interest and Equity Concerns: A Behavioural Allocation Rule for Operational Problems," Working Papers 2072/290757, Universitat Rovira i Virgili, Department of Economics.
    6. Erik Ansink & Harold Houba, 2014. "The Economics of Transboundary River Management," Tinbergen Institute Discussion Papers 14-132/VIII, Tinbergen Institute.
    7. Gudmundsson, Jens & Hougaard, Jens Leth & Ko, Chiu Yu, 2019. "Decentralized mechanisms for river sharing," Journal of Environmental Economics and Management, Elsevier, vol. 94(C), pages 67-81.
    8. Erik Ansink & Hans-Peter Weikard, 2015. "Composition properties in the river claims problem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(4), pages 807-831, April.
    9. Erik Ansink & Hans-Peter Weikard, 2012. "Sequential sharing rules for river sharing problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 187-210, February.
    10. Ansink, Erik & Gengenbach, Michael & Weikard, Hans-Peter, 2012. "River Sharing and Water Trade," Climate Change and Sustainable Development 122860, Fondazione Eni Enrico Mattei (FEEM).
    11. Lea Melnikovová, 2017. "Can Game Theory Help to Mitigate Water Conflicts in the Syrdarya Basin?," Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, Mendel University Press, vol. 65(4), pages 1393-1401.
    12. Larney, Andrea & Rotella, Amanda & Barclay, Pat, 2019. "Stake size effects in ultimatum game and dictator game offers: A meta-analysis," Organizational Behavior and Human Decision Processes, Elsevier, vol. 151(C), pages 61-72.
    13. Soesja Grundel & Peter Borm & Herbert Hamers, 2019. "Resource allocation problems with concave reward functions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(1), pages 37-54, April.
    14. Gerard van der Laan & Nigel Moes, 2012. "Transboundary Externalities and Property Rights: An International River Pollution Model," Tinbergen Institute Discussion Papers 12-006/1, Tinbergen Institute.
    15. M. Fiestras-Janeiro & Ignacio García-Jurado & Manuel Mosquera, 2011. "Cooperative games and cost allocation problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 19(1), pages 1-22, July.
    16. Peter Bußwolder & Swetlana Dregert & Peter Letmathe, 2019. "Consequences of Unfair Job Promotions in Organizations," Schmalenbach Business Review, Springer;Schmalenbach-Gesellschaft, vol. 71(1), pages 3-26, February.
    17. Dohmen, Thomas, 2014. "Behavioral labor economics: Advances and future directions," Labour Economics, Elsevier, vol. 30(C), pages 71-85.
    18. Dongshuang Hou & Aymeric Lardon & Panfei Sun & Genjiu Xu, 2019. "Sharing a Polluted River under Waste Flow Control," GREDEG Working Papers 2019-23, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    19. Farjam, Mike & Wolf, Stephan, 2021. "If future generations had a say: An experiment on fair sharing of a common-pool resource across generations," SocArXiv 759ks, Center for Open Science.
    20. Dagmawi Mulugeta Degefu & Weijun He & Liang Yuan & Jian Hua Zhao, 2016. "Water Allocation in Transboundary River Basins under Water Scarcity: a Cooperative Bargaining Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(12), pages 4451-4466, September.

    More about this item

    Keywords

    Sequential allocation rule; River sharing problem; Cooperative and non-cooperative games; Dictator and ultimatum games;
    All these keywords.

    JEL classification:

    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:grdene:v:26:y:2017:i:2:d:10.1007_s10726-016-9489-3. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.