All-pay 2×2 Hex: a multibattle contest with complementarities
نویسندگان
چکیده
We examine a modified 2 × 2 game of Hex in which the winner of each cell is determined by a Tullock contest. The player establishing a winning path of cells in the game 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. We identify conditions under which players have identical and nonidentical expected payoffs when the contest order is pre-specified. We also examine dissipation for random order contests. We thus provide a canonical model of a multibattle contest in which complementarities between battlefields are heterogeneous across both battlefields and players.
منابع مشابه
All-Pay Hex: A Multibattle Contest With Complementarities∗
In this paper, we examine a modified 2 × 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 expect...
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ورودعنوان ژورنال:
- Int. J. Game Theory
دوره 44 شماره
صفحات -
تاریخ انتشار 2015