IDEAS home Printed from https://ideas.repec.org/p/aub/autbar/864.11.html

Pseudomarkets with Priorities in Large Random Assignment Economies

Author

Listed:
  • Antonio Miralles

Abstract

I study large random assignment economies with a continuum of agents and a finite number of object types. I consider the existence of weak priorities discriminating among agents with respect to their rights concerning the final assignment. The respect for priorities ex ante (ex-ante stability) usually precludes ex-ante envy-freeness. Therefore I define a new concept of fairness, called no unjustified lower chances: priorities with respect to one object type cannot justify different achievable chances regarding another object type. This concept, which applies to the assignment mechanism rather than to the assignment itself, implies ex-ante envy-freeness among agents of the same priority type. I propose a variation of Hylland and Zeckhauser' (1979) pseudomarket that meets ex-ante stability, no unjustified lower chances and ex-ante efficiency among agents of the same priority type. Assuming enough richness in preferences and priorities, the converse is also true: any random assignment with these properties could be achieved through an equilibrium in a pseudomarket with priorities. If priorities are acyclical (the ordering of agents is the same for each object type), this pseudomarket achieves ex-ante efficient random assignments.

Suggested Citation

  • Antonio Miralles, 2011. "Pseudomarkets with Priorities in Large Random Assignment Economies," UFAE and IAE Working Papers 864.11, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    • Handle: RePEc:aub:autbar:864.11
    as

    Download full text from publisher

    File URL: http://pareto.uab.es/wp/2011/86411.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mas-Colell, Andreu, 1984. "On a theorem of Schmeidler," Journal of Mathematical Economics, Elsevier, vol. 13(3), pages 201-206, December.
    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. Al-Najjar, Nabil I., 2008. "Large games and the law of large numbers," Games and Economic Behavior, Elsevier, vol. 64(1), pages 1-34, September.
    2. Carmona, Guilherme, 2008. "Large games with countable characteristics," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 344-347, February.
    3. Wooders, Myrna & Selten, Reinhard & Cartwright, Edward, "undated". "Some First Results for Noncooperative Pregames: Social Conformity and Equilibrium in Pure Strategies," Economic Research Papers 269360, University of Warwick - Department of Economics.
    4. Babaioff, Moshe & Kleinberg, Robert & Papadimitriou, Christos H., 2009. "Congestion games with malicious players," Games and Economic Behavior, Elsevier, vol. 67(1), pages 22-35, September.
    5. Agnieszka Wiszniewska-Matyszkiel, 2016. "Belief distorted Nash equilibria: introduction of a new kind of equilibrium in dynamic games with distorted information," Annals of Operations Research, Springer, vol. 243(1), pages 147-177, August.
    6. Balder, Erik J., 2002. "A Unifying Pair of Cournot-Nash Equilibrium Existence Results," Journal of Economic Theory, Elsevier, vol. 102(2), pages 437-470, February.
    7. Rath, Kali P., 1996. "Existence and upper hemicontinuity of equilibrium distributions of anonymous games with discontinuous payoffs," Journal of Mathematical Economics, Elsevier, vol. 26(3), pages 305-324.
    8. Hannu Salonen, 2010. "On the existence of Nash equilibria in large games," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(3), pages 351-357, July.
    9. Wang, Yan & Yang, Jian & Qi, Lian, 2017. "A game-theoretic model for the role of reputation feedback systems in peer-to-peer commerce," International Journal of Production Economics, Elsevier, vol. 191(C), pages 178-193.
    10. Mitsunori Noguchi & William R Zame, 2004. "Equilibrium Distributions With Externalities," UCLA Economics Working Papers 837, UCLA Department of Economics.
    11. Kolpin, Van, 2009. "Pure strategy equilibria in large demographic summary games," Mathematical Social Sciences, Elsevier, vol. 58(1), pages 132-141, July.
    12. Jara-Moroni, Pedro, 2012. "Rationalizability in games with a continuum of players," Games and Economic Behavior, Elsevier, vol. 75(2), pages 668-684.
    13. Yang, Jian & Qi, Xiangtong, 2013. "The nonatomic supermodular game," Games and Economic Behavior, Elsevier, vol. 82(C), pages 609-620.
    14. Chen, Enxian & Wu, Bin & Xu, Hanping, 2025. "Equilibrium convergence in large games," Journal of Mathematical Economics, Elsevier, vol. 117(C).
    15. Yang, Jian, 2011. "Asymptotic interpretations for equilibria of nonatomic games," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 491-499.
    16. Andreas Ramsauer, 1999. "Heterogeneous Discount Factors in an Assignment Model with Search Frictions," Vienna Economics Papers 9807, University of Vienna, Department of Economics.
    17. Khan, M. Ali & Sun, Yeneng, 1995. "Extremal structures and symmetric equilibria with countable actions," Journal of Mathematical Economics, Elsevier, vol. 24(3), pages 239-248.
    18. Carmona, Guilherme & Podczeck, Konrad, 2009. "On the existence of pure-strategy equilibria in large games," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1300-1319, May.
    19. Chen, Haoning & Dong, Miaomiao & Henry, Marc & Sidorov, Ivan, 2025. "Occupational segregation in a Roy model with composition preferences," Games and Economic Behavior, Elsevier, vol. 150(C), pages 365-386.
    20. Cartwright, Edward, "undated". "Learning to play approximate Nash equilibria in games with many players," Economic Research Papers 269484, University of Warwick - Department of Economics.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    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:aub:autbar:864.11. 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: Xavier Vila (email available below). General contact details of provider: https://edirc.repec.org/data/ufuabes.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.