IDEAS home Printed from https://ideas.repec.org/p/kob/dpaper/dp2019-13.html
   My bibliography  Save this paper

Double Implementation in Dominant Strategy Equilibria and Ex Post Equilibria with Private Values

Author

Listed:
  • Makoto Hagiwara

    (PhD Student, Department of Industrial Engineering and Economics, Tokyo Institute of Technology, JAPAN)

Abstract

We consider the implementation problem under incomplete information and private values. We investigate double implementability of (single-valued) mappings in dominant strategy equilibria and ex post equilibria. We call a mapping a "rule". We show that the notion of an ex post equilibrium is weaker than the notion of a dominant strategy equilibrium. Then, this double implementability notion is not trivial even under private values. We define a new strategic axiom that is stronger than "strategy-proofness", but weaker than "secure strategy-proofness". We call it "weak secure-strategy-proofness". We show that a rule is doubly implementable if and only if it is weakly securely-strategy-proof.

Suggested Citation

  • Makoto Hagiwara, 2019. "Double Implementation in Dominant Strategy Equilibria and Ex Post Equilibria with Private Values," Discussion Paper Series DP2019-13, Research Institute for Economics & Business Administration, Kobe University, revised Aug 2019.
  • Handle: RePEc:kob:dpaper:dp2019-13
    as

    Download full text from publisher

    File URL: https://www.rieb.kobe-u.ac.jp/academic/ra/dp/English/DP2019-13.pdf
    File Function: Revised version, 2019
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Dirk Bergemann & Stephen Morris, 2012. "Ex Post Implementation," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 3, pages 97-152, World Scientific Publishing Co. Pte. Ltd..
    2. Chen, Yan & Sonmez, Tayfun, 2006. "School choice: an experimental study," Journal of Economic Theory, Elsevier, vol. 127(1), pages 202-231, March.
    3. Yan Chen & Yingzhi Liang & Tayfun Sönmez, 2016. "School choice under complete information: An experimental study," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 1(1), pages 45-82, December.
    4. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    5. William Thomson, 2018. "On the terminology of economic design: a critical assessment and some proposals," Review of Economic Design, Springer;Society for Economic Design, vol. 22(1), pages 67-99, June.
    6. Yuji Fujinaka & Takuma Wakayama, 2011. "Secure implementation in Shapley–Scarf housing markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(1), pages 147-169, September.
    7. Kagel, John H & Harstad, Ronald M & Levin, Dan, 1987. "Information Impact and Allocation Rules in Auctions with Affiliated Private Values: A Laboratory Study," Econometrica, Econometric Society, vol. 55(6), pages 1275-1304, November.
    8. Cason, Timothy N. & Saijo, Tatsuyoshi & Sjostrom, Tomas & Yamato, Takehiko, 2006. "Secure implementation experiments: Do strategy-proof mechanisms really work?," Games and Economic Behavior, Elsevier, vol. 57(2), pages 206-235, November.
    9. Kagel, John H & Levin, Dan, 1993. "Independent Private Value Auctions: Bidder Behaviour in First-, Second- and Third-Price Auctions with Varying Numbers of Bidders," Economic Journal, Royal Economic Society, vol. 103(419), pages 868-879, July.
    10. Adachi, Tsuyoshi, 2014. "Robust and secure implementation: equivalence theorems," Games and Economic Behavior, Elsevier, vol. 86(C), pages 96-101.
    11. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    12. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    13. Kawagoe, Toshiji & Mori, Toru, 2001. "Can the Pivotal Mechanism Induce Truth-Telling? An Experimental Study," Public Choice, Springer, vol. 108(3-4), pages 331-354, September.
    14. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    15. Ronald Harstad, 2000. "Dominant Strategy Adoption and Bidders' Experience with Pricing Rules," Experimental Economics, Springer;Economic Science Association, vol. 3(3), pages 261-280, December.
    16. Saran, Rene, 2016. "Bounded depths of rationality and implementation with complete information," Journal of Economic Theory, Elsevier, vol. 165(C), pages 517-564.
    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. Rodrigo A. Velez & Alexander L. Brown, 2019. "Empirical strategy-proofness," Papers 1907.12408, arXiv.org, revised Jul 2020.
    2. Saijo, Tatsuyoshi & Sjostrom, Tomas & Yamato, Takehiko, 2007. "Secure implementation," Theoretical Economics, Econometric Society, vol. 2(3), September.
    3. Takehito Masuda & Ryo Mikami & Toyotaka Sakai & Shigehiro Serizawa & Takuma Wakayama, 2020. "The net effect of advice on strategy-proof mechanisms: An experiment for the Vickrey auction," ISER Discussion Paper 1109r, Institute of Social and Economic Research, Osaka University, revised May 2021.
    4. Min Zhu, 2015. "Experience Transmission : Truth-telling Adoption in Matching," Working Papers 1518, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    5. Krajbich, Ian & Camerer, Colin & Rangel, Antonio, 2017. "Exploring the scope of neurometrically informed mechanism design," Games and Economic Behavior, Elsevier, vol. 101(C), pages 49-62.
    6. Min Zhu, 2015. "Experience Transmission: Truth-telling Adoption in Matching," Working Papers halshs-01176926, HAL.
    7. Cason, Timothy N. & Saijo, Tatsuyoshi & Sjostrom, Tomas & Yamato, Takehiko, 2006. "Secure implementation experiments: Do strategy-proof mechanisms really work?," Games and Economic Behavior, Elsevier, vol. 57(2), pages 206-235, November.
    8. Takehito Masuda & Ryo Mikami & Toyotaka Sakai & Shigehiro Serizawa & Takuma Wakayama, 2020. "The net effect of advice on strategy-proof mechanisms: An experiment for the Vickrey auction," ISER Discussion Paper 1109, Institute of Social and Economic Research, Osaka University.
    9. Pablo Guillen & Róbert F. Veszteg, 2021. "Strategy-proofness in experimental matching markets," Experimental Economics, Springer;Economic Science Association, vol. 24(2), pages 650-668, June.
    10. Takehito Masuda & Ryo Mikami & Toyotaka Sakai & Shigehiro Serizawa & Takuma Wakayama, 2020. "The net effect of advice on strategy-proof mechanisms: An experiment for the Vickrey auction," ISER Discussion Paper 1109rr, Institute of Social and Economic Research, Osaka University, revised Oct 2021.
    11. Arribillaga, R. Pablo & Massó, Jordi & Neme, Alejandro, 2020. "On obvious strategy-proofness and single-peakedness," Journal of Economic Theory, Elsevier, vol. 186(C).
    12. Shengwu Li, 2017. "Obviously Strategy-Proof Mechanisms," American Economic Review, American Economic Association, vol. 107(11), pages 3257-3287, November.
    13. Rodrigo A. Velez & Alexander L. Brown, 2018. "Empirical Equilibrium," Papers 1804.07986, arXiv.org, revised Jul 2020.
    14. Bernard Ruffieux & Anne Rozan & Stéphane Robin, 2008. "Mesurer les préférences du consommateur pour orienter les décisions des pouvoirs publics : l'apport de la méthode expérimentale," Économie et Prévision, Programme National Persée, vol. 182(1), pages 113-127.
    15. Ehrhart, Karl-Martin & Ott, Marion & Abele, Susanne, 2015. "Auction fever: Rising revenue in second-price auction formats," Games and Economic Behavior, Elsevier, vol. 92(C), pages 206-227.
    16. Gabuthy, Yannick & Jacquemet, Nicolas & Marchand, Nadège, 2008. "Does resorting to online dispute resolution promote agreements? Experimental evidence," European Economic Review, Elsevier, vol. 52(2), pages 259-282, February.
    17. Haeringer, Guillaume & Hałaburda, Hanna, 2016. "Monotone strategyproofness," Games and Economic Behavior, Elsevier, vol. 98(C), pages 68-77.
    18. Ehrhart, Karl-Martin & Ott, Marion & Abele, Susanne, 2008. "Auction fever : theory and experimental evidence," Papers 08-27, Sonderforschungsbreich 504.
    19. Atila Abdulkadiroglu & Parag A. Pathak & Alvin E. Roth & Tayfun Sönmez, 2006. "Changing the Boston School Choice Mechanism," Boston College Working Papers in Economics 639, Boston College Department of Economics.
    20. Christer Andersson & Ola Andersson & Tommy Andersson, 2013. "Sealed bid auctions versus ascending bid auctions: an experimental study," Review of Economic Design, Springer;Society for Economic Design, vol. 17(1), pages 1-16, March.

    More about this item

    Keywords

    Double Implementation; Dominant Strategy Equilibrium; Ex Post Equilibrium; Weak Secure-strategy-proofness; Private Values;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

    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:kob:dpaper:dp2019-13. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://edirc.repec.org/data/rikobjp.html .

    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: Office of Promoting Research Collaboration, Research Institute for Economics & Business Administration, Kobe University (email available below). General contact details of provider: https://edirc.repec.org/data/rikobjp.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.