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I think there are two Nash equilibria, which are the Alfred advertise , Barry do not advertise, Alfred do not advertise and Barry advertise, so

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I think there are two Nash equilibria, which are the Alfred advertise , Barry do not advertise, Alfred do not advertise and Barry advertise, so why did the answer say there is only one Nash equilibria?

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Alfred and Barry each own a restaurant on a busy high street. At the moment they each earn E100 of profit. They each have the option of running an advertising campaign. If Alfred advertises and Barry does not then Alfred's profits would be E110 and Barry's E105. If Barry advertises and Alfred does not then Alfred's profits would be 115 and Barry's 101. If both advertise their profits would be 104. If both have to decide simultaneously whether to advertise, what are the Nash equilibrium outcomes? ANSWER: The problem can be represented as the following problem: Barry Advertise Not Advertise NA =104 MA = 110 Advertise nB = 104 NB = 105 Alfred nA = 115 nA = 100 Not Advertise MB = 101 MB = 100 If Alfred (Barry) advertises, Barry's (Alfred's) best response is to not advertise but if Alfred (Barry) does not advertise, Barry's (Alfred's) best response is to advertise. The Nash equilibria occur when only one of the restaurants is advertising

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