P1 R P2 3 U 8 P1 P1 R' L' R' L' 4 (a) Find subgame perfect Nash equilibria of the game above. (b) Find all perfect Bayesian Nash equilibria and sequential equilibria of the game above.
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- 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.…H7. Find all pure strategy Nash equilibria and for each one, state whether or not it is subgame perfect.1. Identify the Nash Equilibria and Subgame Perfect Nash Equilibria in pure strategy of this game. 2. Using beliefs (p, 1−p) at P2's decision nodes in their information set, show that one of the NE is not sequentially rational.
- Required a. Identify three Nash equilibria of this game. b. Explain in words which strategy pair is likely to be played in this game and why. Please give a detailed answer. Thanks!Micro Nash game theory Show that if in a game G, the sets of actions (A i) i in N are compact, and the payment functions (u i) i in N are continuous, then for all i in N, the application of Best response has a closed graph. Conclude that the application of best response has a closed graph.1. Consider the following simultaneous move game Player 2 C D Player 1 A 4,3 4,-2 B 2,2 3,-1 C 3,0 4,0 d) Suppose the game is now played sequentially where Player 1 chooses first, player 2 observes 1’s choice and then makes his own choice. What are the Nash equilibria of this sequential game?
- 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.E3 Bayesian Game]. Consider a Bayesian game described by a following payoff matrix. Please solve (show your solution). 1. Enumerate all pure strategies for each player. 2. Suppose that player 1 observes his type ?1 = 3. How does player 1 think of the probability of ?2? 3. Find a (pure strategy) Bayesian Nash equilibrium.1. Assume this game is played 2 times and there is no discounting. The whole payoff for two periods is the sum of payoffs of each period. Draw a tree of the game and solve it with subgame prefect Nash equilibrium. Explain clearly, handwritten is preferable.
- 5,3 4,4 3,6 7,6 Find the pure strategy nash equilibria5 WHILE USING GAME THEORY METHOD EXPLAİN CLİMATE CHANGE STRATEGIES PLAYERS PAYOFFS AND OUTCOMES IN 200 WORDS4. Correlated EquilibriaConstruct an example (not one from class or the reading) of a Normal form game with a correlated equilibrium that is not a Nash equilibrium.
