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Multi-Battle n-Player Dynamic Contests

Author

Listed:
  • Anbarci, Nejat
  • Cingiz, Kutay

    (General Economics 0 (Onderwijs), RS: GSBE ETBC)

  • Ismail, Mehmet

Abstract

In presidential primaries, proportional campaign resource allocation to states with respect to their delegate numbers is a desirable concept. To study proportionality, we introduce a novel model for n-player multi-battle dynamic contests. We show that when players maximize their expected number of delegates there is a subgame perfect equilibrium in which players allocate their resources proportionally. However for at least 4 number of states and at least 2 delegates, when players maximize their probability of winning, there is always a distribution of delegates over the states such that population proportionality is not satisfied.

Suggested Citation

  • 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).
    • Handle: RePEc:unm:umagsb:2018003
    DOI: 10.26481/umagsb.2018003
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    References listed on IDEAS

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    1. Dan Kovenock & Brian Roberson, 2009. "Is the 50-State Strategy Optimal?," Journal of Theoretical Politics, , vol. 21(2), pages 213-236, April.
    2. Aner Sela & Eyal Erez, 2013. "Dynamic contests with resource constraints," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 863-882, October.
    3. Dziubiński, Marcin & Goyal, Sanjeev & Minarsch, David E.N., 2021. "The strategy of conquest," Journal of Economic Theory, Elsevier, vol. 191(C).
    4. Brams, Steven J. & Davis, Morton D., 1974. "The 3/2's Rule in Presidential Campaigning," American Political Science Review, Cambridge University Press, vol. 68(1), pages 113-134, March.
    5. Qiang Fu & Jingfeng Lu & Yue Pan, 2015. "Team Contests with Multiple Pairwise Battles," American Economic Review, American Economic Association, vol. 105(7), pages 2120-2140, July.
    6. Harris, Christopher J & Vickers, John S, 1985. "Patent Races and the Persistence of Monopoly," Journal of Industrial Economics, Wiley Blackwell, vol. 33(4), pages 461-481, June.
    7. Duffy, John & Matros, Alexander, 2015. "Stochastic asymmetric Blotto games: Some new results," Economics Letters, Elsevier, vol. 134(C), pages 4-8.
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    Cited by:

    1. Dziubiński, Marcin & Goyal, Sanjeev & Minarsch, David E.N., 2021. "The strategy of conquest," Journal of Economic Theory, Elsevier, vol. 191(C).
    2. Daniel Graydon Stephenson, 2023. "Multi-battle contests over complementary battlefields," Working Papers 2303, VCU School of Business, Department of Economics.
    3. Klumpp, Tilman & Konrad, Kai A. & Solomon, Adam, 2019. "The dynamics of majoritarian Blotto games," Games and Economic Behavior, Elsevier, vol. 117(C), pages 402-419.

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    More about this item

    JEL classification:

    • 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

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