IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/40907.html
   My bibliography  Save this paper

Уравновешенные Состояния В Задачах Векторной Оптимизации
[Balanced States in Vector Optimization Problems]

Author

Listed:
  • Polterovich, Victor

Abstract

The problem of finding a Pareto point which would satisfy additional conditions in the form of equalities is stated. A theorem on existence of a solution is proved. Examples are given.

Suggested Citation

  • Polterovich, Victor, 1984. "Уравновешенные Состояния В Задачах Векторной Оптимизации [Balanced States in Vector Optimization Problems]," MPRA Paper 40907, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:40907
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/40907/1/MPRA_paper_40907.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Keiding, Hans, 1981. "Existence of budget constrained pareto efficient allocations," Journal of Economic Theory, Elsevier, vol. 24(3), pages 393-397, June.
    2. Smale, S., 1976. "Global analysis and economics VI : Geometric analysis of Pareto Optima and price equilibria under classical hypotheses," Journal of Mathematical Economics, Elsevier, vol. 3(1), pages 1-14, March.
    3. Balasko, Yves, 1979. "Budget-constrained Pareto-efficient allocations," Journal of Economic Theory, Elsevier, vol. 21(3), pages 359-379, December.
    4. Gale, D. & Mas-Colell, A., 1975. "An equilibrium existence theorem for a general model without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(1), pages 9-15, March.
    5. Gale, David & Sobel, Joel, 1982. "On optimal distribution of output from a jointly owned resource," Journal of Mathematical Economics, Elsevier, vol. 9(1-2), pages 51-59, January.
    6. Alvin E Roth, 2008. "Axiomatic Models of Bargaining," Levine's Working Paper Archive 122247000000002376, David K. Levine.
    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. Pazdera, Jaroslav & Schumacher, Johannes M. & Werker, Bas J.M., 2017. "The composite iteration algorithm for finding efficient and financially fair risk-sharing rules," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 122-133.
    2. Schumacher, Johannes M., 2021. "Ex-ante estate division under strong Pareto efficiency," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 10-24.
    3. Sobel, Joel, 2009. "ReGale: Some memorable results," Games and Economic Behavior, Elsevier, vol. 66(2), pages 632-642, July.
    4. Johannes M. Schumacher, 2018. "A Multi-Objective Interpretation of Optimal Transport," Journal of Optimization Theory and Applications, Springer, vol. 176(1), pages 94-119, January.
    5. Lionel DE BOISDEFFRE, 2015. "Existence of financial equilibrium with differential information: the no-arbitrage characterization," Working Papers 2015-2016_5, CATT - UPPA - Université de Pau et des Pays de l'Adour, revised Nov 2015.
    6. Kajii, Atsushi, 1996. "How to discard non-satiation and free-disposal with paper money," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 75-84.
    7. Philippe Bich & Rida Laraki, 2017. "Externalities in Economies with Endogenous Sharing Rules," PSE-Ecole d'économie de Paris (Postprint) halshs-01437507, HAL.
    8. Nuno Gouveia & Abdelkrim Seghir, 2009. "Endogenous Default Penalties in Nominal Incomplete Markets," Annals of Economics and Finance, Society for AEF, vol. 10(2), pages 391-418, November.
    9. Lionel De Boisdeffre, 2015. "Existence of financial equilibrium with differential information: the no-arbitrage characterization," Working Papers hal-02945462, HAL.
    10. Robert M. Anderson & Haosui Duanmu & M. Ali Khan & Metin Uyanik, 2022. "Walrasian equilibrium theory with and without free-disposal: theorems and counterexamples in an infinite-agent context," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 387-412, April.
    11. Gaël Giraud & Céline Rochon, 2010. "Transition to Equilibrium in International Trades," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00657038, HAL.
    12. Charalambos Aliprantis & Kim Border & Owen Burkinshaw, 1996. "Market economies with many commodities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 19(1), pages 113-185, March.
    13. Florenzano, Monique & Gourdel, Pascal & Pascoa, Mario Rui, 2001. "Overlapping generations models with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 36(3), pages 201-218, December.
    14. Robert Becker & Stefano Bosi & Cuong Van & Thomas Seegmuller, 2015. "On existence and bubbles of Ramsey equilibrium with borrowing constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(2), pages 329-353, February.
    15. White, Lucy, 2006. "Prudence in Bargaining: The Effect of Uncertainty on Bargaining Outcomes," CEPR Discussion Papers 5822, C.E.P.R. Discussion Papers.
    16. Aouani, Zaier & Cornet, Bernard, 2009. "Existence of financial equilibria with restricted participation," Journal of Mathematical Economics, Elsevier, vol. 45(12), pages 772-786, December.
    17. Kandori, Michihiro & Serrano, Roberto & Volij, Oscar, 2008. "Decentralized trade, random utility and the evolution of social welfare," Journal of Economic Theory, Elsevier, vol. 140(1), pages 328-338, May.
    18. Lionel de Boisdeffre, 2021. "Dropping the Cass Trick and Extending Cass' Theorem to Asymmetric Information and Restricted Participation," Post-Print halshs-03196923, HAL.
    19. Bonnisseau, Jean-Marc, 2003. "Regular economies with non-ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 153-174, June.
    20. repec:ipg:wpaper:16 is not listed on IDEAS
    21. Jean-Marc Bonnisseau & Lalaina Rakotonindrainy, 2015. "A note on the characterization of optimal allocations in OLG models with multiple goods," Post-Print halshs-01158117, HAL.

    More about this item

    Keywords

    Vector optimization; Pareto point;

    JEL classification:

    • D00 - Microeconomics - - General - - - General

    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:pra:mprapa:40907. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.