IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v188y2020ics016517652030015x.html
   My bibliography  Save this article

Integer game with delay

Author

Listed:
  • Artemov, Georgy

Abstract

In this note, we study a version of a war of attrition, in which the players pick delays and the player with the longest delay wins. Unlike the war of attrition, all players have to experience the longest delay before the consumption takes place. We show that the game has no mixed strategy Nash equilibria. The game can be seen as a re-interpretation of the integer game, which is one of the most important and most criticized constructions in the full implementation literature. Unlike the integer game, it has a well-defined best response against any mixed strategy.

Suggested Citation

  • Artemov, Georgy, 2020. "Integer game with delay," Economics Letters, Elsevier, vol. 188(C).
    • Handle: RePEc:eee:ecolet:v:188:y:2020:i:c:s016517652030015x
    DOI: 10.1016/j.econlet.2020.108968
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S016517652030015X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2020.108968?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. Matthew O. Jackson, 1992. "Implementation in Undominated Strategies: A Look at Bounded Mechanisms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(4), pages 757-775.
    2. , & ,, 2008. "Caller Number Five and related timing games," Theoretical Economics, Econometric Society, vol. 3(2), June.
    3. Artemov, Georgy, 2015. "Time and Nash implementation," Games and Economic Behavior, Elsevier, vol. 91(C), pages 229-236.
    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. Lombardi, Michele & Yoshihara, Naoki, 2016. "Partially-honest Nash Implementation with Non-connected Honesty Standards," Discussion Paper Series 633, Institute of Economic Research, Hitotsubashi University.
    2. Müller, Christoph, 2020. "Robust implementation in weakly perfect Bayesian strategies," Journal of Economic Theory, Elsevier, vol. 189(C).
    3. Hitoshi Matsushima, 2019. "Implementation without expected utility: ex-post verifiability," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(4), pages 575-585, December.
    4. Marcelo Caffera & Juan Dubra, 2005. "Getting Polluters to Tell the Truth," Microeconomics 0504008, University Library of Munich, Germany.
    5. Lombardi, Michele & Yoshihara, Naoki, 2013. "Natural implementation with partially honest agents in economic environments," MPRA Paper 48294, University Library of Munich, Germany.
    6. Bernarda Zamora & Pablo Amorós, 1998. "- Implementation Of Optimal Contracts Under Adverse Selection," Working Papers. Serie AD 1998-25, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    7. Nir Dagan & Oscar Volij & Roberto Serrano, 1999. "Feasible implementation of taxation methods," Review of Economic Design, Springer;Society for Economic Design, vol. 4(1), pages 57-72.
    8. Hitoshi Matsushima & Shunya Noda, 2020. "Mechanism Design with Blockchain Enforcement," DSSR Discussion Papers 111, Graduate School of Economics and Management, Tohoku University.
    9. Dutta, Bhaskar & Sen, Arunava, 2012. "Nash implementation with partially honest individuals," Games and Economic Behavior, Elsevier, vol. 74(1), pages 154-169.
    10. Korpela, Ville & Lombardi, Michele & Saulle, Riccardo D., 2024. "Designing rotation programs: Limits and possibilities," Games and Economic Behavior, Elsevier, vol. 143(C), pages 77-102.
    11. Andrea Gallice, 2008. "Preempting versus Postponing: the Stealing Game," ICER Working Papers 02-2008, ICER - International Centre for Economic Research.
    12. Antonio Cabrales & Giovanni Ponti, 2000. "Implementation, Elimination of Weakly Dominated Strategies and Evolutionary Dynamics," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(2), pages 247-282, April.
    13. Mariann Ollár & Antonio Penta, 2022. "Efficient Full Implementation via Transfers: Uniqueness and Sensitivity in Symmetric Environments," Working Papers 1311, Barcelona School of Economics.
    14. Sofia Moroni, 2018. "Games with Private Timing," Working Paper 6400, Department of Economics, University of Pittsburgh.
    15. Cabrales, Antonio, 1999. "Adaptive Dynamics and the Implementation Problem with Complete Information," Journal of Economic Theory, Elsevier, vol. 86(2), pages 159-184, June.
    16. Michele Lombardi & Yoshihara Naoki, 2014. "Natural implementation with partially-honest agents in economic environments with free-disposal," UMASS Amherst Economics Working Papers 2014-09, University of Massachusetts Amherst, Department of Economics.
    17. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288 Elsevier.
    18. Hagiwara, Makoto, 2018. "A simple mechanism for double implementation with semi-socially-responsible agents," Economics Letters, Elsevier, vol. 171(C), pages 51-53.
    19. Hitoshi Matsushima, 2017. "Dynamic Implementation, Verification, and Detection," CARF F-Series CARF-F-416, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    20. Matthew O. Jackson & Sanjay Srivastava, 1996. "A Characterization of Game-Theoretic Solutions Which Lead to Impossibility Theorems," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(1), pages 23-38.

    More about this item

    Keywords

    Full implementation; Integer game; War of attrition; Best response property; Delay;
    All these keywords.

    JEL classification:

    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

    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:eee:ecolet:v:188:y:2020:i:c:s016517652030015x. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    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.