Lucy and Ricky are making plans for Saturday night. They can go to either a ballet or a boxing match. Each will make the choice independently, although as you can see from the following table, there are some benefits if they end up doing the same thing. Ignoring mixed strategies, is there a Nash equilibrium in this game? If so, what is it?

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Ricky Ballet Boxing Match Ballet 100,30 -90,-90 Lucy Boxing Match-90,-90 30, 100