Question
ii. Let time be a continuous variable that starts at 0 and runs indefinitely. Assume that the value party i attaches to the object in
ii. Let time be a continuous variable that starts at 0 and runs indefinitely. Assume that the value party i attaches to the object in dispute is vi > 0 and the value it attaches to a 50% chance of obtaining the object is vi /2. Each unit of time that passes before the dispute is settled (i.e. one of the parties concedes) costs each party one unit of payoff. Thus if player i concedes first, at time ti, her payoff is -ti (she spends ti units of time and does not obtain the object). If the other player concedes first, at time tj , player i's payoff is vi - tj (she obtains the object after tj units of time). If both players concede at the same time, player i's payoff is vi /2 - t, where t is the common concession time. The pure strategy Nash equilibrium is where both players are going to hold the object until their valuations. i.e. (v1, v2) (True/False explain briefly.
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