Question

In: Economics

Consider the following game between two early settlers in the United States: Settler 2 Move West...

  1. Consider the following game between two early settlers in the United States:

Settler 2

Move West

Move North

Settler 1

Move West

60, 110

100, 140

Move North

70, 130

90, 100

  1. Which player has dominant strategy?

What is (are) equilibrium outcome(s) of the game?                                                        

Solutions

Expert Solution

a-

If settler 1 moves west, it is optimal for settler 2 to move north.

If settler 1 moves north, it is optimal for settler 2 to move west.

So, there is no dominant strategy for settler 2.

If settler 2 moves west, it is optimal for settler 1 to move north.

If settler 2 moves north, it is optimal for settler 1 to move west.

So, there is no dominant strategy for settler 1.

Therefore, no player has any dominant strategy.

b-

There are 2 equilibrium outcomes:

Settler 1 moves north, settler 2 moves west.

Settler 1 moves west, settler 2 moves north.

At these strategies there is no incentive for any settler to switch to other strategy and hence they are nash equilibrium.


Related Solutions

Consider the following two-letter acronym of the following states in the United States: MD - Maryland,...
Consider the following two-letter acronym of the following states in the United States: MD - Maryland, FL - Florida, PA - Pennsylvania, Ga - Georgia, CA - California, NY - New York. Imagine that some students from the above-listed states are at a conference. Using a switch control structure write a C++ program that prompts a student at the conference to enter the two-letter acronym of his/her state and let the program print the student's state and welcome the student...
Consider trade relations between the United States and Mexico. Assume that the leaders of the two...
Consider trade relations between the United States and Mexico. Assume that the leaders of the two countries believe the payoffs to alternative trade policies are shown in the following payoff matrix: United States' Decision Low Tariffs High Tariffs Mexico's Decision Low Tariffs $28 billion, $28 billion $20 billion, $30 billion High Tariffs $30 billion, $20 billion $25 billion, $25 billion The dominant strategy for the United States is always to choose   tariffs. The dominant strategy for Mexico is always to...
. Consider a simultaneous move game between a teachers’ union and a university. Each agent can...
. Consider a simultaneous move game between a teachers’ union and a university. Each agent can bargain hard (H) or accommodate (A). If both the parties bargain hard (H,H), each would gain nothing. If only one party bargains hard the accommodating party gets a benefit of $1 million while the bargaining party gets a $5 million, while if they both accommodate (A,A), they each get $3 million in benefit. a. Draw the bargaining game in normal form (a matrix). b....
the economic development of the United States in the late 18th and early 19th centuries.HowdidindependencechangetheeconomiesoftheUS?Whatwasthedifference between...
the economic development of the United States in the late 18th and early 19th centuries.HowdidindependencechangetheeconomiesoftheUS?Whatwasthedifference between Hamilton’s (Federalist) approach to economic development as opposed to Jefferson and his supporters? What role did fraud play in the economic development of the US? How did the conflict over slavery in the US become an economic issue?
Consider now the following two-player simultaneous-move game, called the rock-paper-scissors-lizard game. R stands for rock, P...
Consider now the following two-player simultaneous-move game, called the rock-paper-scissors-lizard game. R stands for rock, P for paper, S for scissors, and L for lizard. R beats S but loses against P and L; P beats R but loses against S and L; S beats P and L but loses against R; L beats R and P but loses against S. The payoffs for winning is 1 and that for losing is -1; when both players choose the same strategy...
Consider a simultaneous move game between a plumbers’ union and a school. Each agent can bargain...
Consider a simultaneous move game between a plumbers’ union and a school. Each agent can bargain hard (H) or accommodate (A). If both the parties bargain hard (H,H), each would gain nothing. If only one party bargains hard the accommodating party gets a benefit of $11 million while the bargaining party gets a $55 million, while if they both accommodate (A,A), they each get $33 million in benefit. a. Draw the bargaining game in normal form (a matrix). b. Does...
1.       [Normal Form Game] Consider the following game on advertising and price strategy between two local...
1.       [Normal Form Game] Consider the following game on advertising and price strategy between two local businesses (P is price and A is advertising). Payoffs are representative of profits. Find the Nash equilibrium. If there was collusion between the two businesses, could they cooperate and improve their profits? Sarah’s Sandwiches Bandit’s Bagels Low P, Low A Low P, High A High P, Low A High P, High A Low P, Low A 30, 20 20, 25 35, 15 30, 30...
Consider the following two-stage entry-pricing game between an incumbent firm and a potential entrant: 2 players:...
Consider the following two-stage entry-pricing game between an incumbent firm and a potential entrant: 2 players: {incumbent, entrant} Two-stage game: Stage-1: Potential entrant makes its entry decision by choosing from {Enter, Do not enter}; Stage-2: The incumbent and the new entrant engage in simultaneous-move pricing game. If the potential entrant chooses to enter, she must incur a one-time fixed cost of entry, f, prior to engaging in price competition. This cost includes the advertising and marketing expenses which must be...
Explain the economic changes in northern states of the United States in the early 1800s. How...
Explain the economic changes in northern states of the United States in the early 1800s. How did industrialization, urbanization, the market revolution, and the transportation revolution change America? What were its effects on society and culture?
Consider the following information for a simultaneous move game: If you advertise and your rival advertises,...
Consider the following information for a simultaneous move game: If you advertise and your rival advertises, you each will earn $5 million in profits. If neither of you advertises, you will each earn $10 million in profits. However, if one of you advertises and the other does not, the firm that advertises will earn $15 million and the non-advertising firm will earn $1 million. If you and your rival plan to be in business for 10 (ten) years, then the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT