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Stochastic asymmetric Blotto games: Some new results

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  • Duffy, John
  • Matros, Alexander

Abstract

We develop some new theoretical results for stochastic asymmetric Blotto games.

Suggested Citation

  • Duffy, John & Matros, Alexander, 2015. "Stochastic asymmetric Blotto games: Some new results," Economics Letters, Elsevier, vol. 134(C), pages 4-8.
    • Handle: RePEc:eee:ecolet:v:134:y:2015:i:c:p:4-8
    DOI: 10.1016/j.econlet.2015.06.003
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    References listed on IDEAS

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    1. Lawrence Friedman, 1958. "Game-Theory Models in the Allocation of Advertising Expenditures," Operations Research, INFORMS, vol. 6(5), pages 699-709, October.
    2. Osorio, Antonio, 2013. "The lottery Blotto game," Economics Letters, Elsevier, vol. 120(2), pages 164-166.
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    Citations

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    Cited by:

    1. Maria Montero & Alex Possajennikov & Martin Sefton & Theodore Turocy, 2016. "Majoritarian Blotto contests with asymmetric battlefields: an experiment on apex games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(1), pages 55-89, January.
    2. David Iliaev & Sigal Oren & Ella Segev, 2023. "A Tullock-contest-based approach for cyber security investments," Annals of Operations Research, Springer, vol. 320(1), pages 61-84, January.
    3. Nejat Anbarc{i} & Kutay Cingiz & Mehmet S. Ismail, 2020. "Proportional resource allocation in dynamic n-player Blotto games," Papers 2010.05087, arXiv.org, revised Jul 2022.
    4. Shakun D. Mago & Roman M. Sheremeta, 2019. "New Hampshire Effect: behavior in sequential and simultaneous multi-battle contests," Experimental Economics, Springer;Economic Science Association, vol. 22(2), pages 325-349, June.
    5. Subhasish M Chowdhury & Dan Kovenock & David Rojo Arjona & Nathaniel T Wilcox, 2021. "Focality and Asymmetry in Multi-Battle Contests," The Economic Journal, Royal Economic Society, vol. 131(636), pages 1593-1619.
    6. Duffy, John & Matros, Alexander, 2017. "Stochastic asymmetric Blotto games: An experimental study," Journal of Economic Behavior & Organization, Elsevier, vol. 139(C), pages 88-105.
    7. Li, Xinmi & Zheng, Jie, 2022. "Pure strategy Nash Equilibrium in 2-contestant generalized lottery Colonel Blotto games," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    8. Sebasti'an Morales & Charles Thraves, 2020. "On the Resource Allocation for Political Campaigns," Papers 2012.02856, arXiv.org.
    9. Caroline Thomas, 2018. "N-dimensional Blotto game with heterogeneous battlefield values," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(3), pages 509-544, May.
    10. 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.
    11. Montero García, María & Possajennikow, Alex & Sefton, Martín & Turocy, Theodore L., 2013. "Majoritarian Contests with Asymmetric Battlefields: An Experiment," IKERLANAK 11222, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    12. Jonathan R. Cervas & Bernard Grofman, 2017. "Why noncompetitive states are so important for understanding the outcomes of competitive elections: the Electoral College 1868–2016," Public Choice, Springer, vol. 173(3), pages 251-265, December.
    13. Anbarci, Nejat & Cingiz, Kutay & Ismail, Mehmet S., 2023. "Proportional resource allocation in dynamic n-player Blotto games," Mathematical Social Sciences, Elsevier, vol. 125(C), pages 94-100.
    14. Anbarci, Nejat & Cingiz, Kutay & Ismail, Mehmet, 2018. "Multi-Battle n-Player Dynamic Contests," Research Memorandum 003, Maastricht University, Graduate School of Business and Economics (GSBE).
    15. Kim, Jeongsim & Kim, Bara, 2017. "An asymmetric lottery Blotto game with a possible budget surplus and incomplete information," Economics Letters, Elsevier, vol. 152(C), pages 31-35.
    16. Irit Nowik & Tahl Nowik, 2017. "Games with Costly Winnings," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(04), pages 1-9, December.
    17. Kim, Geofferey Jiyun & Kim, Jerim & Kim, Bara, 2018. "A lottery Blotto game with heterogeneous items of asymmetric valuations," Economics Letters, Elsevier, vol. 173(C), pages 1-5.
    18. Sebastián Morales & Charles Thraves, 2021. "On the Resource Allocation for Political Campaigns," Production and Operations Management, Production and Operations Management Society, vol. 30(11), pages 4140-4159, November.

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    More about this item

    Keywords

    Colonel Blotto game; Contests; Resource allocation; Lotteries;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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