Player 1 and Player 2 Are Playing a Game in Which

question 53

Multiple Choice

Player 1 and Player 2 are playing a game in which Player 1 has the first move at A in the decision tree shown below. Once Player 1 has chosen either Up or Down, Player 2, who can see what Player 1 has chosen, must choose Up or Down at B or C. Both players know the payoffs at the end of each branch. If Player 2 could make a credible commitment to choose either Up or Down when his or her turn came, then what would Player 2 do?

• A)Player 2 would not commit to choosing either strategy.
• B)Player 2 would commit to choosing Up.
• C)Player 2 would commit to choosing Down.
• D)Player 2 would commit to mimicking Player 1's strategy.

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Definitions:

Mann-Whitney U

A nonparametric test that compares differences between two independent groups on a single, continuous variable.

Wilcoxon Rank

The Wilcoxon Rank Sum Test or Wilcoxon Signed Rank Test is a non-parametric statistical hypothesis test used to compare two paired samples to assess whether their population mean ranks differ.

Critical Value

The value resulting from application of a statistical test that is necessary for rejection (or nonacceptance) of the null hypothesis.