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All-Pay Hex: A Multibattle Contest With Complementarities

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  • Sudipta Sarangi
  • Dan Kovenock
  • Matt Wiser

Abstract

In this paper, we examine a modi ed 2 x 2 game of Hex in which control of each cell is determined by a Tullock contest. The player establishing a path of cells within his control between his two sides wins a fixed prize. Examining the polar cases of all cells being contested simultaneously versus all four cells being contested sequentially, we show that there is an increase in the total expected payoff for the players in the sequential case compared to the simultaneous case. Furthermore, due to the players having different, albeit symmetric winning combinations, in the sequential case one player may have a greater expected payoff than their opponent, which depends on the order of the cell contests. We thus provide a canonical model of a multibattle contest in which complementarities between battlefields are heterogeneous across both battlefields and players.

Suggested Citation

  • Sudipta Sarangi & Dan Kovenock & Matt Wiser, 2012. "All-Pay Hex: A Multibattle Contest With Complementarities," Departmental Working Papers 2012-06, Department of Economics, Louisiana State University.
    • Handle: RePEc:lsu:lsuwpp:2012-06
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    References listed on IDEAS

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    1. Russell Golman & Scott Page, 2009. "General Blotto: games of allocative strategic mismatch," Public Choice, Springer, vol. 138(3), pages 279-299, March.
    2. Assar Lindbeck & Jörgen Weibull, 1987. "Balanced-budget redistribution as the outcome of political competition," Public Choice, Springer, vol. 52(3), pages 273-297, January.
    3. Alex Robson, 2005. "Multi-Item Contests," ANU Working Papers in Economics and Econometrics 2005-446, Australian National University, College of Business and Economics, School of Economics.
    4. Baye, Michael R & Kovenock, Dan & de Vries, Casper G, 1999. "The Incidence of Overdissipation in Rent-Seeking Contests," Public Choice, Springer, vol. 99(3-4), pages 439-454, June.
    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. Péter Eső & Balázs Szentes, 2007. "Optimal Information Disclosure in Auctions and the Handicap Auction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(3), pages 705-731.
    7. 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.
    8. 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.
    9. Dan Kovenock J. & Brian Roberson, 2010. "Conflicts with Multiple Battlefields," CESifo Working Paper Series 3165, CESifo.
    10. Kvasov, Dmitriy, 2007. "Contests with limited resources," Journal of Economic Theory, Elsevier, vol. 136(1), pages 738-748, September.
    11. Hagedorn, Marcus, 2009. "The value of information for auctioneers," Journal of Economic Theory, Elsevier, vol. 144(5), pages 2197-2208, September.
    12. Snyder, James M, 1989. "Election Goals and the Allocation of Campaign Resources," Econometrica, Econometric Society, vol. 57(3), pages 637-660, May.
    13. Lawrence Friedman, 1958. "Game-Theory Models in the Allocation of Advertising Expenditures," Operations Research, INFORMS, vol. 6(5), pages 699-709, October.
    14. Laslier, Jean-Francois & Picard, Nathalie, 2002. "Distributive Politics and Electoral Competition," Journal of Economic Theory, Elsevier, vol. 103(1), pages 106-130, March.
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    1. Deck, Cary & Sarangi, Sudipta & Wiser, Matt, 2017. "An experimental investigation of simultaneous multi-battle contests with strategic complementarities," Journal of Economic Psychology, Elsevier, vol. 63(C), pages 117-134.

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