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Consider Eric's decision problem: Sunny Cloudy Rainy Beach 4 6 5 Park 8 9 6 Mall 4 4 3 Select every of the following statements that is true. Beach is a strongly dominant choice for Eric Park is a strongly dominant choice for Eric Mall is a strongly dominant choice for Eric Mall is strictly better than Beach and Park when the state is Rainy Park is strictly better than Beach and Mall for all three states Beach is strictly better than Park and Mall when the state is Cloudy

Question

Consider Eric's decision problem:

Sunny	Cloudy	Rainy

Beach 4 6 5 Park 8 9 6 Mall 4 4 3

Select every of the following statements that is true.

Beach is a strongly dominant choice for Eric

Park is a strongly dominant choice for Eric

Mall is a strongly dominant choice for Eric

Mall is strictly better than Beach and Park when the state is Rainy

Park is strictly better than Beach and Mall for all three states

Beach is strictly better than Park and Mall when the state is Cloudy

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Solution

None of the statements are true.

Here's why:

  1. Beach is not a strongly dominant choice for Eric because there are other options (Park and Mall) that offer higher utility in some states of the world (Sunny and Rainy for Park, and none for Mall).

  2. Park is not a strongly dominant choice for Eric because there is another option (Beach) that offers higher utility in one state of the world (Cloudy).

  3. Mall is not a strongly dominant choice for Eric because there are other options (Beach and Park) that offer higher utility in all states of the world.

  4. Mall is not strictly better than Beach and Park when the state is Rainy because Park offers a higher utility (6 > 3).

  5. Park is not strictly better than Beach and Mall for all three states because Beach offers a higher utility when the state is Cloudy (6 > 9).

  6. Beach is not strictly better than Park and Mall when the state is Cloudy because Park offers a higher utility (9 > 6).

This problem has been solved

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