IDEAS home Printed from https://ideas.repec.org/a/spr/jogath/v48y2019i2d10.1007_s00182-018-0632-z.html
   My bibliography  Save this article

On the equal treatment imputations subset in the bargaining set for smooth vector-measure games with a mixed measure space of players

Author

Listed:
  • Avishay Aiche

    (Western Galilee College)

Abstract

This paper studies vector-measure games in which the set of players is represented by a mixed measure space with atoms and with an atom-less part. The bargaining set introduced in Mas-Colell (J Math Econ 18(2):129–139, 1989) for a continuum exchange economy is adapted and analyzed within this (TU) market game. It is shown that the equal treatment imputations in the bargaining set have some interesting properties. In particular, we prove an extension of the budgetary exploitation property of core allocations in mixed markets to equal-treatment imputations in the Mas-Colell bargaining set.

Suggested Citation

  • Avishay Aiche, 2019. "On the equal treatment imputations subset in the bargaining set for smooth vector-measure games with a mixed measure space of players," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(2), pages 411-421, June.
    • Handle: RePEc:spr:jogath:v:48:y:2019:i:2:d:10.1007_s00182-018-0632-z
    DOI: 10.1007/s00182-018-0632-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00182-018-0632-z
    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/s00182-018-0632-z?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. Avishay Aiche & Anna Rubinchik & Benyamin Shitovitz, 2015. "The asymptotic core, nucleolus and Shapley value of smooth market games with symmetric large players," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(1), pages 135-151, February.
    2. Sondermann, Dieter, 1974. "Economies of scale and equilibria in coalition production economies," Journal of Economic Theory, Elsevier, vol. 8(3), pages 259-291, July.
    3. Jiuqiang Liu, 2017. "Existence of competitive equilibrium in coalition production economies with a continuum of agents," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 941-955, November.
    4. Gabszewicz, Jean J. & Shitovitz, Benyamin, 1992. "The core in imperfectly competitive economies," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 15, pages 459-483, Elsevier.
    5. Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April.
    6. Jiuqiang Liu & Huihui Zhang, 2016. "Coincidence of the Mas-Colell bargaining set and the set of competitive equilibria in a continuum coalition production economy," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 1095-1109, November.
    7. Shitovitz, Benyamin, 1989. "The bargaining set and the core in mixed markets with atoms and an atomless sector," Journal of Mathematical Economics, Elsevier, vol. 18(4), pages 377-383, September.
    8. Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, vol. 1(1), pages 9-25, June.
    9. Shitovitz, Benyamin, 1982. "Some notes on the core of a production economy with some large traders and a continuum of small traders," Journal of Mathematical Economics, Elsevier, vol. 9(1-2), pages 99-105, January.
    10. SONDERMANN, Dieter, 1974. "Economies of scale and equilibria in coalition production economies," LIDAM Reprints CORE 172, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Einy, Ezra & Holzman, Ron & Monderer, Dov & Shitovitz, Benyamin, 1997. "Core Equivalence Theorems for Infinite Convex Games," Journal of Economic Theory, Elsevier, vol. 76(1), pages 1-12, September.
    12. Maschler, Michael, 1992. "The bargaining set, kernel, and nucleolus," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 18, pages 591-667, Elsevier.
    13. Shitovitz, Benyamin, 1973. "Oligopoly in Markets with a Continuum of Traders," Econometrica, Econometric Society, vol. 41(3), pages 467-501, May.
    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. Maria Gabriella Graziano & Marialaura Pesce & Niccolo Urbinati, 2023. "The Equitable Bargaining Set," CSEF Working Papers 676, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.

    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. Sun, Ning & Trockel, Walter & Yang, Zaifu, 2008. "Competitive outcomes and endogenous coalition formation in an n-person game," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 853-860, July.
    2. Jiuqiang Liu, 2022. "Equivalence of Competitive Equilibria, Fuzzy Cores, and Fuzzy Bargaining Sets in Finite Production Economies," Mathematics, MDPI, vol. 10(18), pages 1-16, September.
    3. Graziano, Maria Gabriella & Pesce, Marialaura & Urbinati, Niccolò, 2020. "Generalized coalitions and bargaining sets," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 80-89.
    4. Chiara Donnini & Marialaura Pesce, 2021. "Fairness and fuzzy coalitions," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(4), pages 1033-1052, December.
    5. Martin Shubik & Myrna Holtz Wooders, 1982. "Approximate Cores of a General Class of Economies: Part II. Set-Up Costs and Firm Formation in Coalition Production Economies," Cowles Foundation Discussion Papers 619, Cowles Foundation for Research in Economics, Yale University.
    6. Wooders, Myrna, 2008. "Market games and clubs," MPRA Paper 33968, University Library of Munich, Germany, revised Dec 2010.
    7. Inoue, Tomoki, 2013. "Representation of non-transferable utility games by coalition production economies," Journal of Mathematical Economics, Elsevier, vol. 49(2), pages 141-149.
    8. Einy, Ezra & Moreno, Diego & Shitovitz, Benyamin, 1999. "The Asymptotic Nucleolus of Large Monopolistic Market Games," Journal of Economic Theory, Elsevier, vol. 89(2), pages 186-206, December.
    9. Avishay Aiche & Anna Rubinchik & Benyamin Shitovitz, 2015. "The asymptotic core, nucleolus and Shapley value of smooth market games with symmetric large players," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(1), pages 135-151, February.
    10. Einy, Ezra & Holzman, Ron & Monderer, Dov & Shitovitz, Benyamin, 1997. "Core Equivalence Theorems for Infinite Convex Games," Journal of Economic Theory, Elsevier, vol. 76(1), pages 1-12, September.
    11. Massimiliano Amarante & Luigi Montrucchio, 2007. "Mas-Colell Bargaining Set of Large Games," Carlo Alberto Notebooks 63, Collegio Carlo Alberto.
    12. Robert P. Gilles, 2018. "The Core of an Economy with an Endogenous Social Division of Labour," Papers 1809.01470, arXiv.org.
    13. Serrano, Roberto & Vohra, Rajiv, 2002. "Bargaining and Bargaining Sets," Games and Economic Behavior, Elsevier, vol. 39(2), pages 292-308, May.
    14. Inoue, Tomoki, 2012. "Representation of transferable utility games by coalition production economies," Journal of Mathematical Economics, Elsevier, vol. 48(3), pages 143-147.
    15. Niccolò Urbinati, 2023. "The Walrasian objection mechanism and Mas-Colell’s bargaining set in economies with many commodities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(1), pages 45-68, July.
    16. Takekuma, Shin-Ichi & 武隈, 愼一, 2013. "The Rejective Core of an Economy with Profit-Making Firms," Discussion Papers 2013-10, Graduate School of Economics, Hitotsubashi University.
    17. Ichiishi, Tatsuro, 1985. "Management versus ownership, II," European Economic Review, Elsevier, vol. 27(2), pages 115-138, March.
    18. Montero, Maria, 2002. "Non-cooperative bargaining in apex games and the kernel," Games and Economic Behavior, Elsevier, vol. 41(2), pages 309-321, November.
    19. Ulrich Schwalbe, 2003. "The Core of a Production Economy with Asymmetric Information," Metroeconomica, Wiley Blackwell, vol. 54(4), pages 385-403, November.
    20. Bhowmik, Anuj & Saha, Sandipan, 2023. "Restricted bargaining sets in a club economy," MPRA Paper 119210, University Library of Munich, Germany.

    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:jogath:v:48:y:2019:i:2:d:10.1007_s00182-018-0632-z. 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.