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1. The Dining Problem: 2NF Games [8 marks] You will formalise and analyse the following game setting. Two rivalling sport teams want to go out

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1. The Dining Problem: 2NF Games [8 marks] You will formalise and analyse the following game setting. Two rivalling sport teams want to go out after the competition. They are in a small remote town with only two restaurants: a good one and a mediocre one. Of course, everyone would prefer to go to the good one. The trouble is that the teams really dislike each other and they do not want to dine in the same restaurant. A team visiting the good restaurant will get 10 units ofenjoyment from the dinner, a team visiting the mediocre one only 4 units. If both teams visit the same restaurant, the enjoyment will be reduced by 50% for each team. 1.2 [1 mark] Give all dominated strategies or state that there are none

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