Given the following bimatrix game Exercise 1 (3,4) (2,5) (5,2) (2,0) (4,4) (6.0) with a, b two real parameters: 1. find a, b such that the game is a potential game; 2. for every a, b € R find the best response of the second player to strategy (1, 0, 1) of the first player; 3. find all mixed Nash equilibria profiles for a < 5 and b = 7; 4. find all mixed Nash equilibria profiles for a < 5 and b = 0.
Q: se the following information to answer Questions 1 - 4: In a competitive market for fresh lemonade,…
A: The equilibrium occurs where the demand and supply are equal. Price prevailing at equilibrium is…
Q: Outline the setup of (but do not attempt to solve) an endogenous gro model that incorporates both…
A: It can be defined as the model used to determine the growth and development of an economy, or…
Q: The owner of Grand Central Bookstore is looking into the sales of its Health & Fitness magazine…
A: Price elasticity of demand refers to the proportionate change in quantity requested of a good owing…
Q: hically illustrate (using the WS and PS relations) and explain the effects of an increase in the…
A: It can be defined as a rate of unemployment that is inherent in any economy even when it is…
Q: Please continue to solve from Part D to Part H. Thank you very much.
A: The Nash Equilibrium prices are the prices obtained from the best response functions after…
Q: What are possible adaptation strategies to reduce risk when entering a new market? Drag the answers…
A: Development assistance refers to support, guidance, or and provided by external organizations,…
Q: The household-specific randomness is distributed identically and independently across households.…
A: A stationary equilibrium, also known as a steady-state equilibrium, in economics and game theory…
Q: Government purchases 30 Consumption 100 Investment spending 50 Exports 40 Imports 90 Wages Interest…
A: Standard national income estimates may be used to investigate the factors that impact economic…
Q: 2. Army 1 of country 1 must decide whether to attack army 2 of country 2 which is occupying an…
A: A Nash equilibrium is what is going on in game hypothesis where no player has any motivating force…
Q: Question 3 What are the names of the factor payments? Wages, interest, and profits. Wages and…
A: Factor payments are the payments made to the factors of production for their contribution to the…
Q: Consider an exchange economy with two consumers, A and B, whose utilities are given as above. How-…
A: The Edgeworth box is a two-dimensional space, with the horizontal axis representing the amount of…
Q: Question 4. Suppose a Consumer has a utility function given by U(X,Y) = MIN(3X, Y). The price of…
A: Equivalent variation is the amount of money consumer is willing to not increase the price
Q: ose we have two people in the market for good tions are as follows: XA = max{0, 20 - 2p}, XB and and…
A: It can be defined as a situation in an economy for any specific product when demand for that…
Q: 4. Consider the money market model with the interest rate and the AD-AS model. In cases below,…
A: In the AD-AS (Aggregate Demand-Aggregate Supply) framework, the money market model plays a crucial…
Q: How can the government impose barriers to entry? OA. The government can require occupational…
A: Barriers to entry are created through licensing , patents and legal requirements. Barriers to entry…
Q: Question 31 A production possibilities curve that is a straight line results O always exchanging one…
A: PPF stands for Production Possibility Frontier. It is a graphical representation that shows the…
Q: Economists define the labor force to include only people who are working full time. people who are…
A: When a person is actively engaged in some work or a job, or a business, whether full-time or…
Q: The cost, in dollars, of producing x yards of a certain fabric is C(x) = 900 + 12x-0.1x² + 0.0005x³…
A: Cost: Cost refers to the expenses or expenditures incurred by a business or individual to produce…
Q: Which scenario best demonstrates foreign direct investment? Salia started a Polish restaurant…
A: Foreign Direct Investment (FDI) is a business practice where a company or individual from one…
Q: 0 The annual worth for years 1 through 8 of the cash flows shown is $30,000, What is the amount of…
A: Cash flow refers to the net amount of money coming in and going out of a business or an individual's…
Q: There are two mutually exclusive projects Alpha and Beta. The Alpha alternative has a life of 3…
A: In Excel, create a table with the following columns:ProjectYearCash…
Q: From this table (Typical Size Distribution of Personal Income in a Developing Country), what is the…
A: Income distribution refers to the way in which a country or a specific population's total income is…
Q: (a) Is Bill risk-averse, risk-loving, or risk-neutral? Explain. (b) If Bill could buy insurance to…
A: We need to look at Bill's utility function and his response to risk to establish if he is…
Q: an economy has 10,000 people that are not working (but are looking and available for work) and…
A: It can be defined as the Portion of the total population of any country or region Which is currently…
Q: 6. Two identical firms that have the cost function C(q) = 4qj, where j = {1,2} are competing in a…
A: In a duopoly, the market is dominated by just two companies. These businesses can compete in a…
Q: Gambling decisions can be used to show ___ theories of decision making. 1. Normative 2. Creative…
A: In this case, we have to discuss the term gambling. Gambling is the type of betting on any kind of…
Q: . Price ceilings create shortages if they are set o. Which of the following are price ceilings?…
A: Price ceiling is a government-imposed maximum price set for a product.
Q: 3. Consider the production function: Q= 4 K05L05. If the firm used K -9 capital and L - 49 labor,…
A: Given:
Q: Please help to solve Part D. Thank you!
A: "A Prisoner's dilemma is a static game of complete information with two moves that has a Nash…
Q: 2.00 1.80 1.60 1.40 1.20 1.00 0.80 0.60 0.40 0.20 0 0 Demand I I I I 5 MR 40 15 20 25 30 35 QUANTITY…
A: Oligopoly is a form of market where there is only a limited number of firms or suppliers who have a…
Q: 5. The Role of Government: Quota - Quantity Regulation Smoking imposes health risks to others and…
A: An externality, in economics, refers to a side effect or consequence of an economic activity that…
Q: Kaneb is evaluating two alternative pipeline welders. Welder A costs $310,000, has a 7-year life,…
A: The time value of money refers to the concept that a sum of money is worth greater now than the same…
Q: 1. Suppose Beenish has 80 AED. In a nearby store (called "Store A"), the price of good X is p = 2…
A: The utility function represents consumer preferences and the satisfaction they experience from…
Q: Consider a model with two countries, France and Germany. France exports wine to Germany, and Germany…
A: International trade relations are the academic investigation of resources, industrial-related…
Q: Consider two identical firms with similar cost functions given by C, = cq1 and C₂ = cq2. The inverse…
A: Given informationDemand functionP = a – QWhere Q = q1 + q2Cost functionsC1 = cq1C2 = cq2
Q: With all other exogenous variables at their original levels, suppose the Central Bank attempts to…
A: Short-run frameworkExchange rate is floatingc=150+0.8(y-t) i=500-30r nx=400-150e m/p=50+y-60r r=5…
Q: Sarah has a utility function expressed as the square root of wealth (w). Currently, Sarah has an…
A: Utility function measures and describe the preference of Consumer over goods , services ,wealth and…
Q: utility positive? Explain. 3. Suppose Mary is in consumer equilibrium. The marginal utility of good…
A: The state where an individual gets the most value or satisfaction from the goods and services…
Q: During the expansion phase of the business cycle, which of the following eventually decreases? 1)…
A: According to guidelines if multiple questions are given then we have to do only first question. The…
Q: 6. Two identical firms that have the cost function C(q)) = 4qj, where j € {1,2} are competing in a…
A: a. Each firm's Bertrand-Nash equilibrium profit is zero.Remember that the market demand function is…
Q: Using the midpoint method, what is the price elasticity of demand when the price changes from $3.00…
A: Elasticity has evolved over time, beginning with the basic notion of supply-demand elasticity. It…
Q: Assume that a consumer consumes two goods (X and Y ). Refer to the Lump Sum Principle of…
A: Introduction -The Cobb-Douglas is used to describe consumer preferences in economics .It is :U(…
Q: Consider the utility function u(x₁, x₂) = √√x₁+√√x₂. Prices are p₁, P2, and income is l Then due to…
A: The utility function refers to all those commodity bundles that derive the same amount of utility…
Q: In short-run production with two inputs where land is a fixed input labor is a variable input, the…
A: Production refers to the process of using various material inputs and immaterial inputs in order to…
Q: Give the 3 steps determining the security features of banks notes
A: Determining the security features of banknotes involves several steps to ensure the currency's…
Q: (Review Question) Vincent only consumes wine (x) and cheese (y) in a ratio of 1 wine to 2 cheese.…
A: Vincent consumes two goods; wine and cheese. Wine is represented by X.Cheese is represented by…
Q: profound impact on labour markets. It will likely lead to enormous gains in productivity (analogous…
A: The labor market alludes to the interaction among employers and workers in the economy. It envelops…
Q: Please solve Part G and Part H. Thank you so much!
A: There are two firms in duopolistic market with product differentiation .Demand function for firm i :…
Q: 3. The following matrix shows the profits (in $ millions) made by each airline based on their…
A: A stable state in a strategic interaction among multiple decision-makers, where no participant has…
Q: We R' Write is really worried about their production line for pens. The company is concerned that…
A: When a production factor is enhanced, the productivity gained from each subsequent unit produced…
Step by step
Solved in 3 steps with 6 images
- The injured football player Bad news everyone! There is 1 second left in the game, and Tom Brady has injured himself. The matrices below depict the relative probabilities of winning givenan offensive and a defensive play call. (The row player is the New England Patriots and the column player is the opponent.) How much has the all star's home team probability of winning decreased due to the injury? Pass uny Patriots D Pass .4, .6 D Run .9,.1 .8,.2 .5,.5 Pass Run Opponent D Pass D Run .06, .94 .32, .68 .8,.2 .5,.5n people guess an integer between 1 and 100, and the winner is the player whose guess is closest to the mean of the guesses + 1 (ties broken randomly). Which of the following is an equilibrium: a) All announce 1. b) All announce 50. c) All announce 75. d) All announce 100a W 3,5 3,4 8,4 0,0 3,3 8,9 y 0,1 5,9 9,8 Describe a strategy for player 1 that dominates x. O (1/3.0. 2/3) 1.0,0) O01.1) to
- Player Rhas a $2, a $5, and a $10 bill. Player Chas a $1, a $5, and a $10 bill. Each player selects and shows (simultaneously) one of his or her three bills. If the total value of the two bills shown is even, Rwins Cs bill; if the value is odd, Cwins Rs bill. (Which player would you rather be?) (A) Set up the payoff matrix for the game. (B) Solve the game using the simplex method discussed in this section. (Remove any recessive rows and columns, if present, before you start the simplex method.)(a) Stan and Ollie are two students who share a flat. Both of them prefer to live in a clean flat. However, neither is too fond of housecleaning. Each of them receives a payoff of 12 if they both clean the flat. If neither person cleans the flat, they receive a payoff of 6 each. If one person cleans the flat but the other person does not, then the payoff for the person who does the cleaning is 5 and the payoff for the person who doesn't do any cleaning is 15. (i) Write down the payoff matrix of this game. Derive the dominant strategy equilibrium. Is this also a Nash equilibrium? (ii) Expiain your reasoning. Consider a game with N players. Each player chooses Black or White. If a player (b) chooses Black, she gets 100 if everyone else also chooses Black, and she gets 0 if any of the other players does not choose Black. If a player chooses White, she always gets 50. Show that everyone choosing Black and everyone choosing White are both Nash equilibria of this game.6. Battle of the Networks 1\2 %share Sitcom Sitcom 48;52 Sport 42;58 Nature 55:45 58;42 Ans: s; = (0; 0.85; 0.14); V, = 55.43 s; = (0.43; 0.57;0); V½ = 44.57 40;60 63;37 60;40 Sport Nature 56:44 52;48 Find Nash Equilibrium.
- 1. A dealer decides to sell a rare book by means of an English auction with a reservation price of 54. There are two bidders. The dealer believes that there are only three possible values, 90, 54, and 45, that each bidder’s willingness to pay might take. Each bidder has a probability of 1/3 of having each of these willingnesses to pay, and the probabilities for each of the two bidders are independent of the other’s valuation. Assuming that the two bidders bid rationally and do not collude, the dealer’s expected revenue is approximately ______. 2. A seller knows that there are two bidders for the object he is selling. He believes that with probability 1/2, one has a buyer value of 5 and the other has a buyer value of 10 and with probability 1/2, one has a buyer value of 8 and the other has a buyer value of 15. He knows that bidders will want to buy the object so long as they can get it for their buyer value or less. He sells it in an English auction with a reserve price which he must…3. Find the saddle point, if it exists, for the following game. (b) Solve the following game by using the principle of dominance and find the probabilities of strategies for each player and the value of the game. Player B Player A II III IV V 3 4 4 II 2 4 III 4 4 IV 4 4 20 2420 8760Find the perfect Bayesian equilibria in the following two-person game: B. Chance 1/4 U 3/4 2 L \R (:) (?) (3) (6) () (:) (:) (*) 8
- 7. N [0.75] B A [0.25] 1 E F 6 2 J K J K 12 3 9. 6 6. 1 In equilibrium, what is the probability that player 1 will use the pure strategy E in this game?QUESTION 26 A deck of 52 playing cards consists of 4 suites: clubs, spades, hearts, and diamonds. Each suite consists of 13 cards. Draw one from a deck of cards. Let A=a card "2" is drawn, B=a "diamond" card is drawn. Which is the value of P(A and B), i.e., {probability that the card drawn is "diamond" and "2"} ? 1/52 4/52 13/52 16/52QUESTION 24 A deck of 52 playing cards consists of 4 suites: clubs, spades, hearts, and diamonds. Each suite consists of 13 cards. Draw one from a deck of cards. Let A=a card "2" is drawn, B=a "diamond" card is drawn. Which is the value of P(A|B), i.e., {probability that the card drawn is "2" given that we have known it is "diamond"} ? 1/52 1/4 1/13 16/52