(a) Find all allocations that are Pareto efficient in the Prisoners' dilemma game. Does moving from an allocation where both players defect to an allocation where one defects and the other cooperate feature a Pareto improvement?

rituo? A. Identify the pure-strategy Nash equilibrium/a in the game below, and identify the Pareto efficient strategy combinations. (You may simply state these, you do not need to show how you derived your answer.) B. Identify the mixed-strategy equilibrium to the game. Show your work. You may use the equations from the "generic" 2X2 game if you wish. Doing it the long way is fine, however. C. State the payoff for each player in the mixed-strategy equilibrium. Is the mixed-strategy combination Pareto efficient? Player 1 U D 20 Player 2 L (10,15) (1,5) R (0,6) (1,6)

A "Prisoner's Dilemma" is a situation in which both parties: a) have an incentive to cooperate(meaning working with the other criminal by keeping one's mouth shut) even without communication b) have an incentive to  not cooperate(meaning working with other criminal by keeping one's mouth shut) even through cooperation would be mutually benefical. c)have no incentives to cooperate or not cooperate because either way they lose.

John and Jane usually vote against each other’s party in the SSC elections resulting to negating or offsetting their votes. If they vote for their party of choice, each of them gains four units of utility (and lose four units of utility from a vote against their party of choice). However, it costs each of them two units of utility for the hassle of actually voting during the SSC elections.  A. Diagram a game in which John and Jane choose whether to vote or not to vote.

“To be or not to be, that is the question.” Imagine that in answering this question Hamlet had the following data to consider. Hamlet must choose either “To Be” or “Not to Be.” If Hamlet chooses “To Be” then his enemy the King will make a decision to either “Kill” Hamlet or let him “Live.” If Hamlet is killed by the King his payoff in this game is 200 since he will have been killed by the King who is his uncle and who also killed Hamlet’s father, the King’s brother, who was the prior king. If the King decides to let Hamlet Live then Hamlet will be able to avenge his father’s death and his payoff will be +300. Hamlet also considers suicide an option but given the uncertainty of the afterlife if he chooses not to be then his payoff is +100 since his doesn’t what the afterlife holds for one who kills himself. Draw the complete game tree for this situation. Be sure to accurately label the tree and include the payoffs. Assume Hamlet will choose the course of action that offers the highest…

The following game is given: a) Categorize the above game and determine which social problem it describes. b) How will the game be played if both players use Savage's criterion? c) Is it better for the players to play the game simultaneously or sequentially?

The inverse market demand for fax paper is given by P=100-Q. There are two firms who produce fax paper. Firm 1 has a cost of production of C1= 15*Q1 and firm 2 has a cost of production of C2=20*Q2 a) Suppose that firm play a Stackelberg game. First firm 1 sets the quantity in t=1, then, knowing which quantityfirm 1 has set, firm 2 chooses the quantity in t=2. What are the Stackelberg quantities and prices? What arethe profits od firm 1 and 2? Compared to part a) which firm benefits and which firm loses?

Consider the following simultaneous games. List all pure equilibrium.

John and Jane usually vote against each other’s party in the SSC elections resulting to negating or offsetting their votes. If they vote for their party of choice, each of them gains four units of utility (and lose four units of utility from a vote against their party of choice). However, it costs each of them two units of utility for the hassle of actually voting during the SSC elections.                   A. Diagram a game in which John and Jane choose whether to vote or not to vote.                 B. Suppose John and Jane is in agreement not to vote during the election.                             1.) Would such an agreement improve utility? Justify your answer.                             2.) Would such an agreement be an equilibrium? Justify your answer.