IDEAS home Printed from https://ideas.repec.org/a/spr/jogath/v42y2013i4p801-833.html
   My bibliography  Save this article

Non-symmetric discrete General Lotto games

Author

Listed:
  • Marcin Dziubiński

Abstract

We study a non-symmetric variant of General Lotto games introduced in Hart (Int J Game Theory 36:441–460, 2008 ). We provide a complete characterization of optimal strategies for both players in non-symmetric discrete General Lotto games, where one of the players has an advantage over the other. By this we complete the characterization given in Hart (Int J Game Theory 36:441–460, 2008 ), where the strategies for symmetric case were fully characterized and some of the optimal strategies for the non-symmetric case were obtained. We find a group of completely new atomic strategies, which are used as building components for the optimal strategies. Our results are applicable to discrete variants of all-pay auctions. Copyright The Author(s) 2013

Suggested Citation

  • Marcin Dziubiński, 2013. "Non-symmetric discrete General Lotto games," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(4), pages 801-833, November.
    • Handle: RePEc:spr:jogath:v:42:y:2013:i:4:p:801-833
    DOI: 10.1007/s00182-012-0324-z
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00182-012-0324-z
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00182-012-0324-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. Myerson, Roger B., 1993. "Incentives to Cultivate Favored Minorities Under Alternative Electoral Systems," American Political Science Review, Cambridge University Press, vol. 87(4), pages 856-869, December.
    2. Nicolas Sahuguet & Nicola Persico, 2006. "Campaign spending regulation in a model of redistributive politics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(1), pages 95-124, May.
    3. Michael R. Baye & Dan Kovenock & Casper G. Vries, 1996. "The all-pay auction with complete information," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 209-223, Springer.
    4. Dan Kovenock & Brian Roberson, 2009. "Inefficient redistribution and inefficient redistributive politics," Public Choice, Springer, vol. 139(3), pages 263-272, June.
    5. Sergiu Hart, 2008. "Discrete Colonel Blotto and General Lotto games," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 441-460, March.
    6. Cohen Chen & Sela Aner, 2007. "Contests with Ties," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-18, December.
    7. Robert M. Bell & Thomas M. Cover, 1980. "Competitive Optimality of Logarithmic Investment," Mathematics of Operations Research, INFORMS, vol. 5(2), pages 161-166, May.
    8. Eddie Dekel & Matthew O. Jackson & Asher Wolinsky, 2008. "Vote Buying: General Elections," Journal of Political Economy, University of Chicago Press, vol. 116(2), pages 351-380, April.
    9. Brian Roberson, 2006. "The Colonel Blotto game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 1-24, September.
    10. Dan Kovenock J. & Brian Roberson, 2010. "Conflicts with Multiple Battlefields," CESifo Working Paper Series 3165, CESifo.
    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. Boyer, Pierre C. & Konrad, Kai A. & Roberson, Brian, 2017. "Targeted campaign competition, loyal voters, and supermajorities," Journal of Mathematical Economics, Elsevier, vol. 71(C), pages 49-62.
    2. Dan Kovenock & Brian Roberson, 2021. "Generalizations of the General Lotto and Colonel Blotto games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 997-1032, April.
    3. AmirMahdi Ahmadinejad & Sina Dehghani & MohammadTaghi Hajiaghayi & Brendan Lucier & Hamid Mahini & Saeed Seddighin, 2019. "From Duels to Battlefields: Computing Equilibria of Blotto and Other Games," Management Science, INFORMS, vol. 44(4), pages 1304-1325, November.
    4. Dan Kovenock & Brian Roberson, 2009. "Is the 50-State Strategy Optimal?," Journal of Theoretical Politics, , vol. 21(2), pages 213-236, April.
    5. Subhasish Chowdhury & Dan Kovenock & Roman Sheremeta, 2013. "An experimental investigation of Colonel Blotto games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(3), pages 833-861, April.
    6. Kovenock, Dan & Roberson, Brian, 2011. "Non-partisan ‘get-out-the-vote’ efforts and policy outcomes," European Journal of Political Economy, Elsevier, vol. 27(4), pages 728-739.
    7. Avrahami, Judith & Kareev, Yaakov & Todd, Peter M. & Silverman, Boaz, 2014. "Allocation of resources in asymmetric competitions: How do the weak maintain a chance of winning?," Journal of Economic Psychology, Elsevier, vol. 42(C), pages 161-174.
    8. Nadav Amir, 2018. "Uniqueness of optimal strategies in Captain Lotto games," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 55-101, March.
    9. Hwang, Sung-Ha & Koh, Youngwoo & Lu, Jingfeng, 2023. "Constrained contests with a continuum of battles," Games and Economic Behavior, Elsevier, vol. 142(C), pages 992-1011.
    10. Boix-Adserà, Enric & Edelman, Benjamin L. & Jayanti, Siddhartha, 2021. "The multiplayer Colonel Blotto game," Games and Economic Behavior, Elsevier, vol. 129(C), pages 15-31.
    11. Emmanuel Dechenaux & Dan Kovenock & Roman Sheremeta, 2015. "A survey of experimental research on contests, all-pay auctions and tournaments," Experimental Economics, Springer;Economic Science Association, vol. 18(4), pages 609-669, December.
    12. Shakun D. Mago & Roman M. Sheremeta, 2017. "Multi‐battle Contests: An Experimental Study," Southern Economic Journal, John Wiley & Sons, vol. 84(2), pages 407-425, October.
    13. Alan Washburn, 2013. "OR Forum---Blotto Politics," Operations Research, INFORMS, vol. 61(3), pages 532-543, June.
    14. Dan Kovenock & Brian Roberson, 2008. "Electoral Poaching and Party Identification," Journal of Theoretical Politics, , vol. 20(3), pages 275-302, July.
    15. Pierre C. Boyer & Brian Roberson & Christoph Esslinger, 2024. "Public Debt and the Political Economy of Reforms," American Economic Journal: Microeconomics, American Economic Association, vol. 16(3), pages 459-491, August.
    16. Dan Kovenock & Brian Roberson, 2018. "The Optimal Defense Of Networks Of Targets," Economic Inquiry, Western Economic Association International, vol. 56(4), pages 2195-2211, October.
    17. David Rietzke & Brian Roberson, 2013. "The robustness of ‘enemy-of-my-enemy-is-my-friend’ alliances," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(4), pages 937-956, April.
    18. Fochmann, Martin & Haak, Marcel, 2015. "Strategic decision behavior and audit quality of big and small audit firms in a tendering process," arqus Discussion Papers in Quantitative Tax Research 197, arqus - Arbeitskreis Quantitative Steuerlehre.
    19. Yosef Rinott & Marco Scarsini & Yaming Yu, 2012. "A Colonel Blotto Gladiator Game," Mathematics of Operations Research, INFORMS, vol. 37(4), pages 574-590, November.
    20. Kimbrough, Erik O. & Laughren, Kevin & Sheremeta, Roman, 2020. "War and conflict in economics: Theories, applications, and recent trends," Journal of Economic Behavior & Organization, Elsevier, vol. 178(C), pages 998-1013.

    More about this item

    Keywords

    General Lotto; Allocation games; All-pay auctions; C72; C02; D44;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

    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:spr:jogath:v:42:y:2013:i:4:p:801-833. 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.