The payoff matrix can be shown as follows
If driver 1 chooses to go, then driver 2 will wait since its payoff of 0 > -10. Then driver 1 will stick to its strategy and there will not be any deviation from any of the drivers. Hence, (Go, Wait) = (2,0) is a Nash equilibrium.
On the other hand, if driver 1 chooses to wait, then driver 2 will choose to go since its payoff of 2 > -2. Then driver 1 will stick to its strategy and there will not be any deviation from any of the drivers. Hence, (Wait, Go) = (0,1) is a Nash equilibrium.
As observed, there is no dominant strategy for any of the driver.
Game Theory 3. You and another driver reach a four-way stop intersection at the same time....
Consider the following non-cooperative, 2-player game. Each
player is a manager who wishes to get a promotion. To get the
promotion, each player has two possible strategies: earn it through
hard work (Work) or make the other person look bad through
unscrupulous means (Nasty). The payoff matrix describing this game
is shown below. The payoffs for each player are levels of
utility—larger numbers are preferred to smaller numbers. Player 1’s
payoffs are listed first in each box.
Find the Nash...
Consider the following non-cooperative, 2-player game. Each
player is a manager who wishes to get a promotion. To get the
promotion, each player has two possible strategies: earn it through
hard work (Work) or make the other person look bad through
unscrupulous means (Nasty). The payoff matrix describing this game
is shown below. The payoffs for each player are levels of
utility—larger numbers are preferred to smaller numbers. Player 1’s
payoffs are listed first in each box.Find the Nash
equilibrium...
4 Bad intersection (6 pts.) "You're a rotten driver,” I protested. “Either you ought to be more careful or you oughtn't to drive at all.” "I am careful.” "No, you're not." "Well, other people are,” she said lightly. “What's that got to do with it?” "They'll keep out of my way,” she insisted. “It takes two to make an accident.” -F. Scott Fitzgerald, The Great Gatsby Two drivers, Jordan Baker and Nick Carraway, are approaching each other on a dark...
The table below is the payoff marrix for a simple two-firm game Firms A and B are bidding on a government contract and each f's bid is not known by the other form. Each firm can bid other $14.000 or 55.000 The cost of completing the project for each firm is 53.000 The low bid firm will win the contractat its stated price the high dem wilgot nothing the two bids are equal, the two firms wil split the price...
. The demand for a monopolist's product is given by Q monopolist's marginal cost is given by MC -3 The profis-ma quantity of quantity output for this monopolist is A) 10o C) 40 8) 4444 D) a0 There is a payoff matrix of two flems: their collusion or competition (answer 14-15) differens profits are listed when they choose firm B competition firm A competition! 14.14 27.5 collusion 5. a8 9.19 2. In the game above, who has dominant strategy A)...
11. The demand for a monopolist's product is given by Q-400 4P while the monopolist's marginal cost is given by MC- Q The profit-maximizing quantity of output for this monopolist is A) 1o0 B) 44-44 D) 20 There is a payoff matrix of two firms; their different profits are listed when they choose collusion or competition (answer 14-15). firm B competition 4.14 5. 28 collusion 27,5 19, 19 firm A competition collusion 12. In the game above, who has dominant...
Consider the following game: there are two players, an incumbent (denoted I) and a potential entrant (denoted E) to the market. The entrant has two actions: it can either enter the market in which the incumbent operates, or not enter. The incumbent has two actions: it can either fight the entrant, or accommodate. The payoffs are as follows: if E enters and I fights, E gets -1 and I gets 2. If E does not enter, I gets 10 for...
In previous rounds of the Golden Balls game show, these players have built up a jackpot of £47,250. Now, they must decide how the jackpot will be distributed. Each player in this round of has two strategies: split or steal. The payoffs to each player depend on the strategies played: If both choose split, they each receive half the jackpot. If one chooses steal and the other chooses split, the steal contestant wins the entire jackpot and the split contestant...
Please help me solve (e), dont need to do abcd, thank
you!
3. Consider the following dynamic game between two firms. First, Firm 1, decides whether to build a high capacity plant or a low capacity plant. Second, Firm 2 sees whether Firm 1 built a high capacity plant or a low capacity plant, and decides whether to enter the market or stay out. If Fimm 2 stays out, it gets a payoff of zero. When Firm 2 stays out,...
4. Consider the following game that is played T times. First, players move simultaneously and independently. Then each player is informed about the actions taken by the other player in the first play and, given this, they play it again, and so on. The payoff for the whole game is the sum of the payoffs a player obtains in the T plays of the game A 3,1 4,0 0,1 В 1,5 2,2 0,1 C 1,1 0,2 1,2 (a) (10%) Suppose...