IDEAS home Printed from https://ideas.repec.org/p/ris/qmetal/2016_005.html
   My bibliography  Save this paper

A `Solidarity' Approach to the Problem of Sharing a Network Cost

Author

Listed:
  • Giménez-Gómez, José M.

    (Universitat Rovira i Virgili, Departament d'Economia and CREIP)

  • Peris, Josep E.

    (University of Alicante, D. Quantitative Methods and Economic Theory)

  • Subiza, Begoña

    (University of Alicante, D. Quantitative Methods and Economic Theory)

Abstract

A minimum cost spanning tree problem analyzes the way to efficiently connect individuals to a source when they are located at different places. Several rules have been defined to solve this problem. Our objective here is to propose a new approach that differentiates some costs that may deserve compensations (involuntary costs) from some other connection costs that may be considered voluntary. We therefore define a solidarity egalitarian solution, through which, the total cost is allocated by considering pay-backs to equalize the involuntary costs, thus fulfilling the weak stability condition of individual rationality.

Suggested Citation

  • Giménez-Gómez, José M. & Peris, Josep E. & Subiza, Begoña, 2016. "A `Solidarity' Approach to the Problem of Sharing a Network Cost," QM&ET Working Papers 16-5, University of Alicante, D. Quantitative Methods and Economic Theory.
  • Handle: RePEc:ris:qmetal:2016_005
    as

    Download full text from publisher

    File URL: https://web.ua.es/es/dmcte/documentos/qmetwp1605.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Bossert W., 1996. "Redistribution mechanisms based on individual characteristics," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 51-51, February.
    2. Gustavo Bergantiños & Leticia Lorenzo, 2004. "A non-cooperative approach to the cost spanning tree problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 59(3), pages 393-403, July.
    3. José-Manuel Giménez-Gómez & Josep E. Peris, 2015. "Participation and Solidarity in Redistribution Mechanisms," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 9(1), pages 036-048, October.
    4. Hernández, Penélope & Peris, Josep E. & Silva-Reus, José A., 2016. "Strategic sharing of a costly network," Journal of Mathematical Economics, Elsevier, vol. 66(C), pages 72-82.
    5. K. J. Arrow & A. K. Sen & K. Suzumura (ed.), 2011. "Handbook of Social Choice and Welfare," Handbook of Social Choice and Welfare, Elsevier, edition 1, volume 2, number 2.
    6. 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.
    7. Marc Fleurbaey & François Maniquet, 2006. "Compensation and responsibility," Working Papers halshs-00121367, HAL.
    8. Andrzej Baranski, 2016. "Voluntary Contributions and Collective Redistribution," American Economic Journal: Microeconomics, American Economic Association, vol. 8(4), pages 149-173, November.
    9. Bergantinos, Gustavo & Vidal-Puga, Juan J., 2007. "A fair rule in minimum cost spanning tree problems," Journal of Economic Theory, Elsevier, vol. 137(1), pages 326-352, November.
    10. Gustavo Bergantinos & Juan Vidal-Puga, 2008. "On Some Properties of Cost Allocation Rules in Minimum Cost Spanning Tree Problems," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 2(3), pages 251-267, December.
    11. Kar, Anirban, 2002. "Axiomatization of the Shapley Value on Minimum Cost Spanning Tree Games," Games and Economic Behavior, Elsevier, vol. 38(2), pages 265-277, February.
    12. Giménez Gómez, José M. (José Manuel) & Subiza, Begoña & Peris, Josep E., 2014. "Conflicting claims problem associated with cost sharing of a network," Working Papers 2072/242273, Universitat Rovira i Virgili, Department of Economics.
    13. 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.
    Full references (including those not matched with items on IDEAS)

    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. José-Manuel Giménez-Gómez & Josep E Peris & Begoña Subiza, 2020. "An egalitarian approach for sharing the cost of a spanning tree," PLOS ONE, Public Library of Science, vol. 15(7), pages 1-14, July.
    2. Giménez-Gómez, José-Manuel & Subiza, Begoña & Peris, Josep, 2014. "Conflicting Claims Problem Associated with Cost Sharing of a Network," QM&ET Working Papers 14-3, University of Alicante, D. Quantitative Methods and Economic Theory.
    3. Hernández, Penélope & Peris, Josep E. & Vidal-Puga, Juan, 2023. "A non-cooperative approach to the folk rule in minimum cost spanning tree problems," European Journal of Operational Research, Elsevier, vol. 307(2), pages 922-928.
    4. Gustavo Bergantiños & Juan Vidal-Puga, 2021. "A review of cooperative rules and their associated algorithms for minimum-cost spanning tree problems," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(1), pages 73-100, March.
    5. Bergantiños, Gustavo & Vidal-Puga, Juan, 2020. "Cooperative games for minimum cost spanning tree problems," MPRA Paper 104911, University Library of Munich, Germany.
    6. Bergantiños, Gustavo & Vidal-Puga, Juan, 2010. "Realizing fair outcomes in minimum cost spanning tree problems through non-cooperative mechanisms," European Journal of Operational Research, Elsevier, vol. 201(3), pages 811-820, March.
    7. Gustavo Bergantiños & María Gómez-Rúa, 2015. "An axiomatic approach in minimum cost spanning tree problems with groups," Annals of Operations Research, Springer, vol. 225(1), pages 45-63, February.
    8. R.I. Luttens, 2006. "Minimal rights based solidarity," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 06/356, Ghent University, Faculty of Economics and Business Administration.
    9. Wulf Gaertner & Lars Schwettmann, 2017. "Burden sharing in deficit countries: a questionnaire-experimental investigation," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 8(2), pages 113-144, June.
    10. José-Manuel Giménez-Gómez & Josep E. Peris & Begoña Subiza, 2022. "A claims problem approach to the cost allocation of a minimum cost spanning tree," Operational Research, Springer, vol. 22(3), pages 2785-2801, July.
    11. Bergantinos, Gustavo & Vidal-Puga, Juan J., 2007. "A fair rule in minimum cost spanning tree problems," Journal of Economic Theory, Elsevier, vol. 137(1), pages 326-352, November.
    12. Jean-François Carpantier & Christelle Sapata, 2016. "Empirical welfare analysis: when preferences matter," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(3), pages 521-542, March.
    13. José-Manuel Giménez-Gómez & Josep E. Peris, 2015. "Participation and Solidarity in Redistribution Mechanisms," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 9(1), pages 036-048, October.
    14. Gustavo Bergantiños & María Gómez-Rúa, 2010. "Minimum cost spanning tree problems with groups," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(2), pages 227-262, May.
    15. Alexander W. Cappelen & Bertil Tungodden, 2017. "Fairness and the proportionality principle," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(3), pages 709-719, December.
    16. Gustavo Bergantiños & Juan Vidal-Puga, 2015. "Characterization of monotonic rules in minimum cost spanning tree problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(4), pages 835-868, November.
    17. Juarez, Ruben & Ko, Chiu Yu & Xue, Jingyi, 2018. "Sharing sequential values in a network," Journal of Economic Theory, Elsevier, vol. 177(C), pages 734-779.
    18. Bergantinos, Gustavo & Lorenzo-Freire, Silvia, 2008. ""Optimistic" weighted Shapley rules in minimum cost spanning tree problems," European Journal of Operational Research, Elsevier, vol. 185(1), pages 289-298, February.
    19. José-Manuel Giménez-Gómez & Josep E. Peris & María-José Solís-Baltodano, 2023. "Resource allocations with guaranteed awards in claims problems," Review of Economic Design, Springer;Society for Economic Design, vol. 27(3), pages 581-602, September.
    20. Giménez-Gómez, José-Manuel & Peris, Josep E. & Solís-Baltodano, María-José, 2017. "Resource Allocation with Warranties in Claims Problems," QM&ET Working Papers 17-4, University of Alicante, D. Quantitative Methods and Economic Theory.

    More about this item

    Keywords

    Minimum cost spanning tree; Solidarity; Cost sharing; Egalitarian;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:ris:qmetal:2016_005. 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: Julio Carmona (email available below). General contact details of provider: https://edirc.repec.org/data/dmalies.html .

    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.