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Associated consistency and equal allocation of nonseparable costs

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  • Yan-An Hwang

Abstract

We modified the definition of associated game with respect to Hamiache (2001) to characterize the equal allocation of nonseparable costs (EANS) by means of Pareto Optimality(PO), Translation Covariance (TC), Symmetry (SYM), Associated Consistency(AC) and Continuity(CONT). Copyright Springer-Verlag Berlin/Heidelberg 2006

Suggested Citation

  • Yan-An Hwang, 2006. "Associated consistency and equal allocation of nonseparable costs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(3), pages 709-719, August.
  • Handle: RePEc:spr:joecth:v:28:y:2006:i:3:p:709-719
    DOI: 10.1007/s00199-005-0640-7
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    Citations

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    Cited by:

    1. Yan-An Hwang & Chun-Hsien Yeh, 2012. "A characterization of the nucleolus without homogeneity in airport problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 355-364, February.
    2. Florian Navarro, 2022. "Associated consistency and the Aumann-Drèze value," Post-Print hal-03678064, HAL.
    3. Wenna Wang & Hao Sun & René Brink & Genjiu Xu, 2019. "The Family of Ideal Values for Cooperative Games," Journal of Optimization Theory and Applications, Springer, vol. 180(3), pages 1065-1086, March.
    4. Yan-An Hwang, 2015. "A convergent transfer scheme based on the complement-associated game," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 255-263, October.
    5. Navarro, Florian, 2020. "The center value: A sharing rule for cooperative games on acyclic graphs," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 1-13.
    6. Wenna Wang, 2021. "Bilateral associated game: Gain and loss in revaluation," PLOS ONE, Public Library of Science, vol. 16(7), pages 1-12, July.
    7. Yu-hsien Liao & Ling-Yun Chung & Po-hang Wu, 2015. "The EANSC: a weighted extension and axiomatization," Economics Bulletin, AccessEcon, vol. 35(1), pages 475-480.
    8. Genjiu Xu & René van den Brink & Gerard van der Laan & Hao Sun, 2012. "Associated Consistency Characterization of Two Linear Values for TU Games by Matrix Approach," Tinbergen Institute Discussion Papers 12-105/II, Tinbergen Institute.
    9. Koji Yokote & Takumi Kongo & Yukihiko Funaki, 2021. "Redistribution to the less productive: parallel characterizations of the egalitarian Shapley and consensus values," Theory and Decision, Springer, vol. 91(1), pages 81-98, July.
    10. Florian Navarro, 2022. "Associated consistency and the Aumann-Drèze value," Working Papers hal-03678064, HAL.
    11. Panfei Sun & Dongshuang Hou & Hao Sun & Theo Driessen, 2017. "Optimization Implementation and Characterization of the Equal Allocation of Nonseparable Costs Value," Journal of Optimization Theory and Applications, Springer, vol. 173(1), pages 336-352, April.
    12. Dongshuang Hou & Aymeric Lardon & Panfei Sun & Theo Driessen, 2018. "Compromise for the Per Capita Complaint: An Optimization Characterization of Two Equalitarian Values," GREDEG Working Papers 2018-13, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    13. Sylvain Béal & Eric Rémila & Philippe Solal, 2016. "Characterizations of Three Linear Values for TU Games by Associated Consistency: Simple Proofs Using the Jordan Normal Form," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 1-21, March.
    14. Norman L. Kleinberg, 2018. "A note on associated consistency and linear, symmetric values," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(3), pages 913-925, September.
    15. Emilio Calvo Ramón & Esther Gutiérrez-López, 2022. "The equal collective gains value in cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(1), pages 249-278, March.
    16. Oishi, Takayuki & Nakayama, Mikio & Hokari, Toru & Funaki, Yukihiko, 2016. "Duality and anti-duality in TU games applied to solutions, axioms, and axiomatizations," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 44-53.
    17. Dongshuang Hou & Aymeric Lardon & Panfei Sun & Theo Driessen, 2018. "Compromise for the per Capita Complaint: an optimization CharaCterization of two equalitarian values," Working Papers halshs-01931224, HAL.
    18. Wenna Wang & Hao Sun & Rene (J.R.) van den Brink & Genjiu Xu, 2018. "The family of ideal values for cooperative games," Tinbergen Institute Discussion Papers 18-002/II, Tinbergen Institute.
    19. Pedro Calleja & Francesc Llerena, 2019. "Path monotonicity, consistency and axiomatizations of some weighted solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 287-310, March.

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