Using the payoff table for Castle Pizza and Palace Pizza in Table 13.2, draw the game tree for a sequential decision situation in which Palace makes its pricing decision first.a. Find the equilibrium decision path using the roll-back method. Show the decision path on your game tree.b. Is the decision outcome in part a a Nash equilibrium? Explain why or why not.

Table 13.2

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Palace's price High ($10) Low ($6) A High ($10) $1,000, $1,000 $500, $1,200 Castle's price C Low ($6) $1,200, $300 $400, $400