In order to be considered a subgame perfect equilibrium, a set of strategies must be simultaneous-moves. be a Nash equilibrium. be a Nash equilibrium for each subgame. allow for an eventual improvement of payoff. eliminate the end-of period problem.
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- Consider the attached game depicted in Normal Form. Find one Nash equilibrium and verify that it is a Nash equilibrium. Note: 1. Remember to express the Nash equilibrium in the form of a strategy profile. 2. Use the definition of Nash equilibrium to verify that the strategy profile you find is really a Nash equilibrium.(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.1. Draw a normal form for this tree. 2. Find all the subgames in the tree. 3. Find SPNE (Subgame Perfect Nash Equilibrium) of the tree and explain how it works.
- Assume a simultaneous-move game. Firm B Low Price High Price Firm A Low Price 10,10 100,2 High Price 2,100 90, 90 What is the Nash equilibrium of the game?Please look at the payoff matrix below which shows the benefits that would accrue to each player in a 2-player.non-sequential, non-repeated game. a) Identify the collusive (cooperative) equilibrium. b) Identify the secure strategy (maximin) equilibrium c) Identify the maximax equilibrium d) Identify the Nash equilibrium Apple Inc. Strategy 1 Strategy 2 Strategy 3 20 40 60 60 1000 200 Strategy A 70 50 90 Banana Inc. 400 70 300 Strategy B 40 80 100 90 150 80 Strategy CGame theory. Explain Nash equilibrium in pure strategies elaborately with a case study/problem (first define it) covering everything under a single problem (handwritten).
- Consider the following game in normal form. Not cooperate Cooperate Not cooperate 20,20 50,0 Cooperate 0,50 40,40 What is Nash equilibrium? Is it efficient? Why? What needs to be complied with so that the players would like to cooperate? What happens when one of the players does not cooperate? Why? Define trigger strategy. Calculate the discount factor (δ) that would make both players decide to cooperate.Please look at the payoff matrix below which shows the benefits that would accrue to each player in a 2-player.non-sequential, non-repeated game. a) Identify the collusive (cooperative) equilibrium. b) Identify the secure strategy (maximin) equilibrium c) Identify the maximax equilibrium d) Identify the Nash equilibrium (You must clearly label each answer in eCourses to receive any credit for your answers.) Apple Inc. Strategy 1 Strategy 2 Strategy 3 20 40 60 60 1000 200 Strategy A 70 50 90 Banana 70 300 Inc. Strategy B 400 40 80 100 90 150 80 Strategy CWhat is the outcome of the subgame-perfect Nash-equilibrium in the game below? 1 Attack Retreat 2 Defend Flee Follow Stay 5/4 8/6 7/7 10/ 10
- Below is a two player extensive game. Answer the following questions: 1. Write the game in its strategic form 2. Determine the set of all pure-strategy nash equilibria 3. Determine the set of all subgame perfect equilibria 4. Is there a unique subgame perfect equilibrium ง C C 2 A 1 B 2,1 Ꭰ E F 0,2 3,1 1,2Consider the lollowing extensive form game. P1 P2 P2 7. 1 7. Find the Nash equilibrium Find subgame perfect Nash Equailabrium. Explain why all Nash equilibriums are not subgame perfectWhich of the following is FALSE for the Bayesian Nash equilibrium of a Bayesian game? A. Every Bayesian game in which there are finitely many players and finitely many actions and types for each player, there exists a Bayesian Nash equilibrium B. Every Bayesian game has multiple Bayesian Nash equilibria C. Bayesian Nash equilibrium of a Bayesian game is the Nash equilibrium of its associated ex-ante normal form game