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Best-of-two contests with psychological effects

机译：具有心理效应的两场最佳比赛

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摘要

We study a best-of-two contest with two homogeneous players (teams). The winner is the player who wins in both stages. In the case of one victory for each team, a draw determines the identity of the winner. Each team has a value of winning the contest as well as a value of winning a single game. A team’s value of winning a game at its home field is higher than its value of winning a game away from home. We show that if winning in the first stage provides a psychological advantage in the second stage, each team would prefer to play the second stage at its home field.
机译：我们研究了由两个同质球员（团队）组成的两人制比赛。赢家是在两个阶段均获胜的玩家。如果每支球队获得一次胜利，则平局决定获胜者的身份。每个团队都有赢得比赛的价值以及赢得一场比赛的价值。一支球队在本国比赛中获胜的价值高于其在本国比赛中获胜的价值。我们证明，如果第一阶段的胜利在第二阶段提供了心理优势，那么每个团队都希望在自己的主场打第二阶段。

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