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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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    Cited by:

    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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