Question

For each statement indicate whether it is True or False? Explain.

a) The Prisoner’s Dilemma Game has a second-mover advantage in its order of play.

b) The Battle of the Sexes Game is not Pareto-optimal.

c) A Nash equilibrium gives each player their highest payoff in the game.

d) In the James Dean Game each player follows their dominant strategy.

Answer 1

A.)False -

Reason:

The prisoner's dilemma is a mystery in decision analysis wherein two individuals keeping their best interests in mind don't create the ideal result. The average prisoner's dilemma is set up in such a manner that the two players choose to ensure themselves at the expense of the other member. As a result, the two participants wind up in a worse state than if they had helped out one another in the decision-production process. The prisoner's dilemma is one of the most notable concepts in present day game hypothesis.

The prisoner's dilemma presents a situation where two parties, separated and unfit to convey, must each choose between co-working with the other or not. The highest prize for each gathering occurs when the two players choose to co-work.

B.) True -

Reason:

In game theory, battle of the sexes (BoS) is a two-player coordination game. A few creators allude to the game as Bach or Stravinsky and assign the players just as Player 1 and Player 2, rather than assigning sex.

Imagine a couple that consented to meet this evening, yet can't remember whether they will go to the show or a football game (and the way that they overlooked is basic information). The spouse would want to go to the football game. The spouse would prefer to go to the show. Both would like to go to a similar spot rather than various ones. On the off chance that they can't impart, where would it be advisable for them to go?

The payoff lattice named "Battle of the Sexes is a case of Battle of the Sexes, where the spouse picks a line and the husband picks a section. In every cell, the primary number speaks to the payoff to the spouse and the subsequent number speaks to the payoff to the husband.

This portrayal doesn't represent the extra mischief that may originate from going to various areas, yet going to some unacceptable one also (for example he goes to the drama while she goes to the football game, satisfying neither). To represent this, the game is now and again spoke to as in "Battle of the Sexes

C.) False -

Reason :

Nash harmony is an idea inside game hypothesis where the ideal result of a game is the place there is no motivating force to go amiss from their underlying methodology. All the more explicitly, the Nash harmony is an idea of game hypothesis where the ideal result of a game is one where no player has a motivation to digress from his picked system subsequent to thinking about a rival's decision.

Generally, an individual can get no steady profit by evolving activities, accepting different players stay consistent in their procedures. A game may have different Nash equilibria or none by any means.

D.) True -

Reason:

A dominant strategy equilibrium (DSE) in a total data game is a strategy profile in which every player's strategy is as least in the same class as every single other strategy despite the methodologies of every single other player.

DSE is a solid idea of balance and is in this way obviously uncommon. For a harmony idea to be finished it ought to recognize balance in each game. Another well considered game is chicken.

James Dean and Buzz (in the film Rebel without a Cause) go head to head at inverse closures of the road. On the sign they race their vehicles on an impact course towards one another. The choices each have are to turn or to remain their course. Unmistakably if the two of them remain their course they crash. On the off chance that the two of them turn (inverse headings) they escape with their lives yet the match is a draw. At last, in the event that one turns and different stays, the one that stays is the victor and the other the loses.