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- 5,3 4,4 3,6 7,6 Find the pure strategy nash equilibriaparameter x =5 List all pure strategy Nash equilibria.See the extensive form game image attached. 1) Solve the game by backward induction 2) Find all the pure-strategy Nash equilibria (in complete contingent plans)of the extensive-form game (no need to write down thenormal-form representation)
- The mixed stratergy nash equalibrium consists of : the probability of firm A selecting October is 0.692 and probability of firm A selecting December is 0.309. The probability of firm B selecting October is 0.5 and probability of firm selecting December is 0.5. In the equilibrium you calculated above, what is the probability that both consoles are released in October? In December? What are the expected payoffs of firm A and of firm B in equilibrium?Determine all of the Nash equilibria (pure-strategy and mixed-strategy equilibria) of the following game:the question is attached as a photo and answer typed below. please help me show the calculations to support the answer the answer Administrator theorem equilibrium is an associate degree equilibrium conception relevant for dynamic games with incomplete info it’s a refinement of Nash equilibrium. The ways and beliefs are; the action rely on the history this is often almost like a sequent game and the belief could also be likelihood distribution over the nodes within the info set. Formally a belief system is associate degree assignment of likelihood of each node within the game such the total of possibilities in any info set. The ways and beliefs ought to satisfy the subsequent condition they're as follows; sequent rationality, every strategy ought to be optimum in expectation given the beliefs. Consistency, every belief ought to be updated per the ways and Bayes decree each path of zero likelihood of the equilibrium the beliefs will be arbitrary as this is the perfect Bayesian…
- the question is attached as photo and answer typed below. please help me show the calculations used to support my answer. the answer Bayesian Nash equilibrium has been refined in this way (BNE). An equilibrium idea relevant to dynamic games with partial knowledge is known as the "Perfect Bayesian Equilibrium" or "PBE" (sequential Bayesian games). The strategies and beliefs that make up a perfect Bayesian equilibrium are as follows: Depending on the information available, a player's strategy will dictate what actions he will do based on that data (on actions taken previously in the game). In some ways, it's like playing through a series of levels in a video game.Players' beliefs in a given information set influence what node in that information set they think the game has reached. Probabilities of the nodes in the data set and the other players' types are often used to calculate the belief's probabilities. From an a priori perspective, every node in the game has a possibility of 1.…Design the payoffff matrix of a game with no Nash Equilibria. The game should have 2 players, 2 strategies for each player, and the payoffffs for each player should be either 0 or 1.Determine the Nash equilibria
- Suppose the following game is played infinite times in the future. Time discount is 0.90. What should be the value of x so that the equilibrium strategy is (Cooperate, Cooperate)? Player 2 Player 1 Cooperate Defect Cooperate (x, x) (2, 14) Defect (14, 2) (5, 5)on 8.1 Consider the following game: Player 1 A C D 7,6 5,8 0,0 Player 2 E 5,8 7,6 1, 1 F 0,0 1,1 4,4 a. Find the pure-strategy Nash equilibria (if any). b. Find the mixed-strategy Nash equilibrium in which each player randomizes over just the first two actions. c. Compute players' expected payoffs in the equilibria found in parts (a) and (b). d. Draw the extensive form for this game.This is a Hotelling model question There are two firms, A and B. Firm A has a marginal cost=$4, and Firm B has a marginal cost=$6. For both: N=4,000 V=max willingness to pay=$40 travel cost=$8/1mile Please find the best response functions for both firms and graph them.