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All-Pay Hex: A Multibattle Contest With Complementarities


  • Sudipta Sarangi


  • Dan Kovenock
  • Matt Wiser


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.

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  • 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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    1. 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.
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    5. 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.
    6. Russell Golman & Scott Page, 2009. "General Blotto: games of allocative strategic mismatch," Public Choice, Springer, vol. 138(3), pages 279-299, March.
    7. Dan Kovenock & Brian Roberson, 2010. "The Optimal Defense of Networks of Targets," Purdue University Economics Working Papers 1251, Purdue University, Department of Economics.
    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 Group Munich.
    10. Snyder, James M, 1989. "Election Goals and the Allocation of Campaign Resources," Econometrica, Econometric Society, vol. 57(3), pages 637-660, May.
    11. 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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