Economic and Game Theory
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From your question, it isn't clear if it's a sequential game or a simultaneous game. You've 2 players and 2 strategies (reduce price; don't reduce price). This is if it's a simultaneous game. If it's a sequential game where one firm can observe the action of the other firm, you'll have one firm with 4 pairs of strategies (reduce, stay; stay, reduce;reduce reduce;stay, stay)
Now have each player noted as a row or a column player with their respective strategies and you're just about to get started with the matrix.
Now if firm A cuts price and firm B follows, you should get a payoff of (10,10). Fill in the payoff for the rest.
Once you've the payoff matrix ready, it's not difficult to get the NE (if any) :)
Good luck! :)
p/s: an alternative is to start with part (d) 1st and eliminate the dominated strategy so that you'll have a smaller matrix to work with to find NE [Manage messages]