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In a game, a Nash equilibrium is reached only if the players:

a. understand the game and the payoffs associated with each strategy.

b. use backward induction method to develop their strategies.

c. follow a mixed strategy.

d. have no best response to the choices made by other players.

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Joshua Stredder
Joshua StredderLv10
28 Sep 2019

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Related questions

Consider the following game. Player 1 has an infinite set of pure strategies, which is the interval [0, 1]. Player 2 has only two pure strategies, L and R. When Player 1 chooses his pure strategy x ∈ [0, 1], payoffs to Player 1 are u1(x, L) = 2 − 2x, u1(x, R) = x; and payoffs to Player 2 are u2(x, L) = x, u2(x, R) = 1 − x.

(i) Show that the game has no Nash equilibrium in pure strategies.

(ii) Find all Nash equilibria of the game when Player 2 is allowed to use a mixed strategy. Explain carefully why they are Nash equilibria. Give the payoffs to the two players.

The correct statements are [mark all that apply]:

A. The concept of best response strategy played in equilibrium by all players and no unilateral deviation are applicable for Bayesian games.

B. A game, where there are one firm 1 and two types of firms 2 (strong or weak) but firm 1 knows that firm 2 is strong with probability 0.7, can be described as a game of incomplete information.

C. A Bayesian Nash equilibrium is totally different from a Nash equilibrium in Bayesian games.

D. To be uncertain about others players' payoff functions is equivalent to saying that player 1 may be uncertain about the types of the other players.

1. Which of the following statements about oligopolies is not correct?

a.

Oligopolistic firms always charge the monopoly price.
b.

Oligopolistic firms are interdependent in a way that firms in perfect competition are not.
c.

An oligopolistic market has only a few sellers.
d.

The actions of any one seller can have a large impact on the profits of all other sellers.

2. Which is true of an oligopoly market that reaches a Nash equilibrium?

a.

The firms will not have behaved as profit maximizers.
b.

A firm will have chosen its best strategy, given the strategies chosen by other firms in the market.
c.

A firm will not take into account the strategies of competing firms.
d.

The market price will be different for each firm.

3. In game theory, what is a dominant strategy?

a.

the best strategy for a player to follow, regardless of the what strategies other players use
b.

a strategy that makes every player better off
c.

a strategy that must appear in every game
d.

the best strategy for a player to follow only if other players are cooperative

4. Which of the following situations produces the largest profits for oligopolists?

a.

The firms reach a Nash equilibrium.
b.

The firms combine to produce the monopoly output level.
c.

The firms set prices equal to marginal cost.
d.

The firms produce a quantity of output that lies between the competitive outcome and the monopoly outcome.

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