In a world of limited resources, should an automobile dealership be more concerned with the cleanliness of it car showroom or the cleanliness of the restrooms? (B) the dominant strategy is to clean the restroom (A) the dominant strategy is to clean the showroom neither a nor b is true both a and b
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- COUNTRY B HIGH TARIFF LOW TARIFF HIGH TARIFF $1M $1 M $2M, $1.5 M COUNTRY A LOW $1.5 M, $ 2M $3м, $3 м TARIFF 1. What is the dominant strategy for: a. Country A b. Country B Is there an equilibrium dominant strategy for this game? 2. Find the Nash equilibrium a. Outcome = (High, high) b. Outcome = (High. Low) c. Outcome = (Low, high) d. Outcome = (Low, low) 3. What is the Maximin strategy for Country A and Country B? C.Consider the following extensive-form game. U D A B A B -6,6 X Y X Y P 3,8 -8, 1 1,2 -2, 1 5,5 -0,0 The dashed lines represent information sets. (a) Represent this game in normal-form. (b) Derive the Nash equilibria in pure strategies. (c) Describe the (proper) subgames of this game. (d) Derive the subgame perfect Nash equilibria in pure strategies.(f) Does GaterTools have a dominant strategy? Explain using numbers from the payoff matrix.(g) Identify the Nash equilibrium. Explain why this is a Nash equilibrium using information from the payoff matrix.(h) Suppose HandyBilt makes a credible commitment to GaterTools that if GaterTools maintains its price, then HandyBiltwill pay GaterTools $250. Will this offer result in a Nash equilibrium with different strategies from those identified in part(g) ? Explain using numbers from the payoff matrix.
- Consider a game where each player picks a number from 0 to 60. The guess that is closest to half of the average of the chosen numbers wins a prize. If several people are equally close, then they share the prize. The game theory implies that (A) all players have dominant strategies to choose 0 (B) all players have dominant strategies to choose 30 (C) there is a Nash equilibrium where all players pick 0 (D) there is a Nash equilibrium where all players pick positive numbers Behavioral data in such games suggests that (A) most subjects choose 0; (B) most subjects choose 30;(C) common answers include 30, 15, 7.5, and 0; (D) most subjects use randomization.Chemical Firm 1 Ton Pollution Pollution Shut 2 Tons 15 20 Down 01 15 20 Operate 25 10 2. The above figure shows the payoff matrix for two firms. A chemical firm must choose between a low level of production which yields one ton of pollution into a nearby lake and a high level of production which yields two tons of pollution into the nearby lake. A private beach on the lake must decide whether to operate or not. Increased pollution reduces the number of people who wish to visit the beach. a) Determine the Nash equilibrium without property rights. b) If the chemical firm owns the lake and the beach owner must pay the chemical firm $10 to produce only one ton of pollution, what is the outcome? c) If the beach owner owns the lake and the chemical firm must pay $10 per ton of pollution, what is the outcome? d) Compare results of part a, b, and c. Beach(2) Two competing firms are each planning to introduce a new product. Each will decide whether to produce Product A, Product B, or Product C. They will make their choices at the same time. The resulting payoffs are shown below. Firm 2 A В C -10, -10 10, 0 20, 10 0, 10 -20, -20 15, -5 10, 20 -5, 15 -30, -30 А Firm 1 B C a. Are there any Nash equilibria in pure strategies? If so, what are they? b. If both firms use maxmin strategies, what outcome will result? c. If Firm 1 uses a maxmin strategy and Firm 2 knows this, what will Firm 2 do?
- A occurs if all players in a game play their best strategies given what their competitors do.Consider the following simultaneous move game. Two firms are considering where to open their flagship store in a state they are expanding into. After they simultaneously make their decisions, they compete and earn the additional profits (in millions) given in the cell corresponding to the location they both chose. Which of the following statements is true.Which of the following best describes a dominant strategy? Question 4Answer a. The strategy that a player chooses depends on what the other player does b. The strategy that a player chooses minimizes the other player's payoff c. The strategy that a player chooses is independent of what the other player does d. The strategy that a player chooses maximizes joint payoffs for both players
- You are playing a game with a friend. It’s yourmove but you don’t have a dominant strategy.Your payoff depends on what your friend doesafter your move. You consider flipping a coin todecide what to do. You are about to reach for acoin, but then you realize that your friend has adominant strategy. Explain how using backwardinduction (rather than a coin toss) will now determine your next move12. An important characteristic of a dominant strategy is that: Select one: a. it is the best strategy to dominate your opponents b. it always leads to a Nash equilibrium where all players equally well off c. it can prevent the game reaching a Nash equilibrium d. it is the best strategy for a player, regardless of whatever strategy the opponent chooses(a) Compute the Nash Equilibrium in pure strategies of the game above. (b) Compute the subgame perfect Nash equilibrium.(c) Compute the perfect Bayesian euilibrium. (I need help with how to solve these questions in detail)