A thug wants the contents of a safe and is threateningthe owner, the only person who knows
A thug wants the contents of a safe and is threateningthe owner, the only person who knows the code,to open the safe. “I will kill you if you don’t open thesafe, and let you live if you do.” Should the informationholder believe the threat and open the safe? Thetable shows the value that each person places on thevarious possible outcomes.ThugSafe’sOwnerOpen the safe, thug does not kill 4 3Open the safe, thug kills 2 1Do not open, thug kills 1 2Do not open, thug does not kill 3 4Such a game appears in many films, including DieHard, Crimson Tide, and The Maltese Falcon.a. Draw the game tree. Who moves first?b. What is the equilibrium?c. Does the safe’s owner believe the thug’s threat?d. Does the safe’s owner open the safe?