Question l 2 pts (Extra credit question A football team has the chance of scorin

Question

Question l 2 pts (Extra credit question A football team has the chance of scoring the game-winning touchdown on the last play of the game. It can either run or pass. The defense can play for the run or play for the pass. The following normal form lists the payoffs from the game made up by this last play. The payoffs are probabilities of winning the game. Defense Defend Pass 0, 1 1. 0 Defend Run 35 Pass 1, 0 Offense Run 0,1 What is the defense's dominant strategy? O Defend the run. O Defend the pass. O Defend both plays at random with equal probability The defense does not have a dominant strategy.

Explanation / Answer

Q1. If offense adopts the strategy of pass then defense will get a pay-off of 1 if it pass and will get a pay-off of 0 if it run. As pay-off is higher in case of pass, defense must pass if offense adopts the strategy of pass.

If offense adopts the strategy of run then defense will get a pay-off of 0 if it pass and a pay-off of 1 if it run. As pay-off is higher in case of run, defense must run if offense adopts the strategy of run.

It can be seen that strategy of defense changes with change in strategy of offense.

This implies that defense does not have any dominant strategy because dominant strategy is that strategy which does not change irrespective of strategy adopted by other players.

Hence, the correct answer is option (4).

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