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..il Sprint 1:16 AM 82% last handout game theory.pdf Problem 1 There are three p

ID: 383512 • Letter: #

Question

..il Sprint 1:16 AM 82% last handout game theory.pdf Problem 1 There are three players. Windom has 2 cups of coffee, Bob has 3 cups, and Dale has 2 cups. Assume that cups of coffee are not divisi- ble. All players want to get as many cups as possible. a) Consider the following game. First, Windom proposes to redistribute the cups. For example, he may propose that he gets 5 cups and Bob and Dale each get only I cup. Next, Bob and Dale vote Yes or No. If at least one of them votes Yes, the cups are redistributed as Windom proposed. Oth erwise, nothing changes. Find the subgame-perfect equilibrium. Assume that if a player is indifferent between the two outcomes, he turns down the offer b) Consider a different version of this game. First, Windom proposes to redistribute the cups No, the game ends and nothing changes. If at least one of them votes Yes the cups are redistributed as Windom proposed, and this becomes the new status quo. Then Windom gets to make anoher proposal. If it is accepted. then the cups are redistributed again and the game ends. Otherwise, the new status quo remains in place. Find at least one Subgame-Perfect equilibrium Assume again that if a player is indifferent between the two outcomes, he turns down the offer. t and Bob and Dale vote Yes or No. If both vote Problem 2 Audrey. Donna, Shelly, and Laura are four students who must form pairs to do a school project. The preferences are as follows Shell t from the mathching prob- lems we have seen before. Specifically, the players are not divided inte two groups. Dividing them into two groups and running an algorithm does not guarantee a stable matching. a)Is it possible to match the girls into pairs such that no two girls who pairs would like to leave their current partners and form a are in different pair? Give an example or show that it is impossible. b) Now that the rey yAudrey Audrey

Explanation / Answer

The elements that must be present in order to prove a valid claim under the law specifiedin the Lanham Act are as follows:

1. False or misleading statement of fact by the competitor : When the competitor uses

2. Commercial advertising or promotion using the words that are already in use by the initially registered company.

3. Material Deception.

4. Trademark Infringement.

5. Causing Commercial injury to the plaintiff.