Game Theory and Strategy · Quiz 2 · 3 Aug 2025 · May 2025 term · Set QIA2

Question 2: (Bayesian Game) Consider a two-player game in which the p…

Question 2

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(Bayesian Game) Consider a two-player game in which the payoffs, which depend on $\theta$ , and actions are as in the following table:

$\theta = 0$

	$L$	$R$
$U$	$1, -1$	$-1, 1$
$D$	$-1, 1$	$1, -1$

$\theta = 1$

	$L$	$R$
$U$	$1, 1$	$-1, -1$
$D$	$-1, 1$	$1, -1$

Where $\Pr(\theta = 0) = \Pr(\theta = 1) = \frac{1}{2}$ . Player 2 knows exactly what value $\theta$ has, whereas player 1 doesn't know.

Based on the above data, answer the given subquestions.

Under Bayesian Nash Eq., player 2, who knows that θ = 0 will play

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Question 2 of 24 in the IIT Madras BS Game Theory and Strategy (Game Theory) Quiz 2 paper sat on 3 Aug 2025, in the May 2025 term (IIT M IMPROVEMENT AN EXAM QIP2 03 Aug 2025). It carries 1 mark.

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Question 2: (Bayesian Game) Consider a two-player game in which the p…

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