Q2. Find the separating equilibrium and pooling equilibrium. Туре 1 Player 2 R Player 1 2,1 D 2,0 5,4 3,1 Player 2 R 4,0 Туре 2 Player 1 U D 2,0 3,1 2,1 There are two players: player I and player 2. Player I believes that the nature offers a good luck with probability q (Type 1) and bad luck with probability 1-q. (Type 2) Player 2 knows whether the nature offers good luck or bad luck. Player I and player 2 simultaneously decide whether to lay U gr P: Lar R

Q2. Find the separating equilibrium and pooling equilibrium. Туре 1 Player 2 R Player 1 2,1 D 2,0 5,4 3,1 Player 2 R 4,0 Туре 2 Player 1 U D 2,0 3,1 2,1 There are two players: player I and player 2. Player I believes that the nature offers a good luck with probability q (Type 1) and bad luck with probability 1-q. (Type 2) Player 2 knows whether the nature offers good luck or bad luck. Player I and player 2 simultaneously decide whether to lay U gr P: Lar R

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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3. Consider the game below. С1 C2 C3 R1 1, 1 4, 6 8, 5 1, 2 5, 4 R2 R3 2, 6 2, 7 7, 6 0, 7 3.1. Does the game have any pure strategy NEs? 3.2. Check whether a mixed strategy NE exists in which A is mixing R1 and R2 with positive probabilities, playing R3 with zero probability, while B is mixing C1 and C3 with positive probabilities while playing C2 with zero probability. [Let (p1,P2, P3) be the probabilities with which A plays (R1, R2,R3) and let (q1,92, 93) be the probabilities with which B plays (C1, C2,C3). Make use of the following NE test: m* is a NE if for every player i, u;(mị , m²¿) = u;(Si, m²¡) for every si E S¡|m¡(sji) > 0 and u¡(m¡ ,m²¡) > u¡(s¡,m;) for every si E S¡ |m¡ (s¡) = 0. Hint: Each player must be indifferent between those of her pure strategies that are used (with positive probability) in her mixed strategy, and unused strategies must not yield a payoff that is higher than the payoff a player gets with her NE (mixed) strategy.] %3D
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those determinations. Respond to the following questions in a minimum of 175 words: . Consider a situation that you might need to use your understanding of probability to make an informed decision. • What sorts of information would you collect? • How might you use what you have learned about probability to determine a course of action? What are the possible benefits and limitations of this approach? Due Monday Reply to at least 2 of your classmates. Be constructive and professional in your responses. Copyright 2020 by University of Phoenix. All rights reserved. New Group 1 17 Responses 33 Replies
2. Consider the following two player game in normal form: Player 2 R 0, 5 2, 3 2, 3 Player 1 M 2, 3 0, 5 3, 2 B 5,0 3, 2 2, 3 (a) Show that for Player 1, strategy T is strictly dominated by a mixed strategy in which actions M and B are played with positive probability. (b) Find a mixed strategy Nash equilibrium of this game. 352
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1. Use the following game tree to answer parts a & b. At a chance node (Nature's turn) or when a player is indifferent between strategies, each branch has equal likelihood (50% chance they take either path). Nature receives no payoff. Assume players are mistake proof. Use a complete strategy when discussing the results of this game and provide a payoff, even if that payoff is an expected one. Recall that an expected payoff is the "average" payoff: for example if with 50% chance we receive a payoff of 5 and with 50% chance we receive a payoff of 2, the expected payoff is .5 x 5+ .5 x 2 = 3.5 a. What is the outcome of the game? Assume players are risk neutral (i.e., they see no difference in getting a payoff of 5 vs an expected payoff of 5). Red 0, 1, 3, 3 3, 2, 3, 2 Dorothy Blue Top 1, 4, 3, 2 Scarecrow 50% Green Nature Right Bottom 0, 2, 3, 1 Lion 50% 1, 3, 4, 2 3, 4, 3, 2 50% Left Nature 3, 2, 1, 2 Up 50% Red. 1, 3, 4, 2 Down Tinman Blue 0, 3, 3, 3 Yellow Dorothy 4, 3, 4, 2…
1- Determine the strategies that the player can follow by applying the rule of thumb to reduce the matrix (2x2)2- Find the value of the match by the analytical method.