Hello. My question is related to maximization problem using Kuhn-Tucker conditions and game theory.

I have upload the question and my solution.Can you please explain me the following questions :

1) What do we mean by Kuhn-Tucker conditions?

2) The terms tij and tji are the same?

3) If I want to find the best response for each player , do I have to solve for ti or for tij ? In my solution I have solved for tij but the result is not satisfactory.

4) Also, there are some cultures that emphasize social interaction more than others. In this exercise how can I determine the role of '' culture'' if exists?

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