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Can someone please help me solve this question, we should solve it using GAME TH

ID: 3184167 • Letter: C

Question

Can someone please help me solve this question, we should solve it using GAME THEROTY AND LINEAR ALGEBRA (so it has to include a matrix)/ Please note that this is my last question for the month, and it's crucial that I get this question right, so please answer the question if you really understand the concepts.

2. Two clothing stores in a shopping center compete for the weekend trade. On a clear day the larger store gets 60% of the business and on a rainy day the larger store gets 80% of the business. Either or both stores may hold a sidewalk sale on a given weekend, but the decision must be made a week in advance and in ignorance of the competitor's plans. If both have a sidewalk sale, each gets 50% of the business. If, however, one holds the sale and the other doesn't, the one conducting the sale gets 90% of the business on a clear day and 10% on a rainy day. It rains 40% of the time. How frequently should each retailer conduct sales?

Explanation / Answer

the smaller storage will follow first strategy and have sales all the time. also the larger store is interested in his profits so he will go through the first strategy as well. i.e., both have sales