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Pure strategy Nash equilibria in non-zero sum colonel Blotto games

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  • Rafael Hortala-Vallve
  • Aniol Llorente-Saguer

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Abstract

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Suggested Citation

  • Rafael Hortala-Vallve & Aniol Llorente-Saguer, 2012. "Pure strategy Nash equilibria in non-zero sum colonel Blotto games," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 331-343, May.
  • Handle: RePEc:spr:jogath:v:41:y:2012:i:2:p:331-343 DOI: 10.1007/s00182-011-0288-4
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    References listed on IDEAS

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    1. Alessandra Casella & Thomas Palfrey & Raymond Riezman, 2013. "Minorities and Storable Votes," World Scientific Book Chapters,in: International Trade Agreements and Political Economy, chapter 15, pages 247-282 World Scientific Publishing Co. Pte. Ltd..
    2. Brian Roberson & Dmitriy Kvasov, 2012. "The non-constant-sum Colonel Blotto game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 397-433.
    3. Sudipto Bhattacharya & Charles Goodhart & Pojanart Sunirand & Dimitrios Tsomocos, 2007. "Banks, relative performance, and sequential contagion," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 601-601.
    4. Kvasov, Dmitriy, 2007. "Contests with limited resources," Journal of Economic Theory, Elsevier, vol. 136(1), pages 738-748, September.
    5. Casella, Alessandra, 2005. "Storable votes," Games and Economic Behavior, Elsevier, pages 391-419.
    6. Rafael Hortala-Vallve, 2007. "Qualitative Voting," Economics Series Working Papers 320, University of Oxford, Department of Economics.
    7. Sergiu Hart, 2008. "Discrete Colonel Blotto and General Lotto games," International Journal of Game Theory, Springer;Game Theory Society, pages 441-460.
    8. Matthew O Jackson & Hugo F Sonnenschein, 2007. "Overcoming Incentive Constraints by Linking Decisions -super-1," Econometrica, Econometric Society, vol. 75(1), pages 241-257, January.
    9. Rafael Hortala-Vallve, 2012. "Qualitative voting," Journal of Theoretical Politics, , vol. 24(4), pages 526-554, October.
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    Cited by:

    1. repec:eee:gamebe:v:106:y:2017:i:c:p:239-259 is not listed on IDEAS
    2. Brian Roberson & Dmitriy Kvasov, 2012. "The non-constant-sum Colonel Blotto game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 397-433.
    3. repec:pit:wpaper:509 is not listed on IDEAS
    4. Dan J. Kovenock & Brian Roberson, 2015. "The Optimal Defense of Network Connectivity," CESifo Working Paper Series 5653, CESifo Group Munich.
    5. Subhasish M. Chowdhury & Dan Kovenock & David Rojo Arjona & Nathaniel T. Wilcox, 2016. "Focality and asymmetry in multi-battle contests," Working Paper series, University of East Anglia, Centre for Behavioural and Experimental Social Science (CBESS) 16-12, School of Economics, University of East Anglia, Norwich, UK..
    6. repec:eee:jeborg:v:139:y:2017:i:c:p:88-105 is not listed on IDEAS
    7. Rafael Hortala-Vallve & Aniol Llorente-Saguer, 2015. "An Experiment on Non-Zero Sum Colonel Blotto Games," Working Papers 779, Queen Mary University of London, School of Economics and Finance.
    8. Rafael Hortala-Vallve & Aniol Llorente-Saguer & Rosemarie Nagel, 2013. "The role of information in different bargaining protocols," Experimental Economics, Springer;Economic Science Association, vol. 16(1), pages 88-113, March.
    9. Dan Kovencok & Michael J. Mauboussin & Brian Roberson, 2010. "Asymmetric Conflicts with Endogenous Dimensionality," Korean Economic Review, Korean Economic Association, vol. 26, pages 287-305.
    10. Casella, Alessandra & Laslier, Jean-François & Macé, Antonin, 2017. "Democracy for Polarized Committees: The Tale of Blotto's Lieutenants," Games and Economic Behavior, Elsevier, pages 239-259.
    11. Brian Roberson & Dmitriy Kvasov, 2012. "The non-constant-sum Colonel Blotto game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 397-433, October.
    12. Dan Kovenock & Brian Roberson, 2010. "The Optimal Defense of Networks of Targets," Purdue University Economics Working Papers 1251, Purdue University, Department of Economics.
    13. 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.
    14. Dan J. Kovenock & Brian Roberson, 2015. "Generalizations of the General Lotto and Colonel Blotto Games," CESifo Working Paper Series 5291, CESifo Group Munich.
    15. repec:hal:wpaper:halshs-01287795 is not listed on IDEAS
    16. 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, pages 161-174.
    17. Kostyantyn Mazur, 2017. "A Partial Solution to Continuous Blotto," Papers 1706.08479, arXiv.org, revised Sep 2017.
    18. Oléron Evans, Thomas P. & Bishop, Steven R., 2013. "Static search games played over graphs and general metric spaces," European Journal of Operational Research, Elsevier, vol. 231(3), pages 667-689.

    More about this item

    Keywords

    Colonel Blotto; Non-zero sum; Multi-dimensional resource allocation; C72; D7; P16;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • P16 - Economic Systems - - Capitalist Systems - - - Political Economy of Capitalism

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