Assign2 - University of California, Irvine Department of...

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University of California, Irvine Department of Economics Intermediate Economics II: Econ 100B Prof. Safarzadeh Assignment # 2 Student Name :_________________ I - Demand for a product is estimated to be Q = 960 - 1.2P + 1.4Y + .003A where, Q and P are the quantity and price of the product respectively, Y is income, and A is the advertising expenditures. All the variables are in the natural logarithmic form and all the estimated coefficients are statistically significant. The average annual sale and the average price of the product are 60000 units and $8000 respectively. A. Price elasticity of demand is -------------, income elasticity of demand is ---------, advertising elasticity of demand is -----------------. B. The optimum level of advertising spending for the firm is --------------------. 2- Demand for a product is estimated to be Q = 12000 - 9P + .004Y + .00012A where, Q and P are the quantity and price of the product respectively, Y is income, and A is the advertising expenditures. All the estimated coefficients are statistically significant. The average annual sale and the average price of the product are 60000 units and $8000 respectively. The firm’s average annual spending on advertising is $2000000. The GDP in the economy is 24000000. A. Price elasticity of demand is ------------------, income elasticity of demand is ---------, advertising elasticity of demand is -----------------. B. What is the optimum level of advertising spending for the firm? -----------------. What would you advise the firm ? ----------------------------------------------------------------? II- Game Theory: 1- The payoff matrix of the market shares for the player A in a duopoly market (A, & B) is given as (the game is a zero-sum game): Payoff Matrix of A B B1 B2 B3 A1 .8 .6 .5 A2 .9 .7 .8
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A3 .6 .5 .4 a- If player A takes strategy A1, what market share does A expects to earn from this move? -------------------- What strategy will B take to counter A’s strategy? ---------Once B made its move, what strategy will A take? -------------------. b. Is there a saddle point (Nash solution) to the game? --------- If yes what are the strategies? ----- What is the payoff for A? ------------ What is the payoff for B? -----------------. c. Are there any dominated strategies? If so delete the dominated strategies and write the payoff matrix in a simplifies form. 2- The payoff matrix of the market shares for the player A in a duopoly market (A, & B) is given as (the game is a zero-sum game): Payoff Matrix of A B B1 B2 B3 A1 .5 .3 .3 A2 .1 .3 .4 A3 .2 .6 .4 a- What is the payoff to A if A takes the strategy A2 and B takes the strategy B3? b-
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This note was uploaded on 01/19/2011 for the course BUSINESS E 62220 taught by Professor Mohammadr.safarzadeh during the Spring '10 term at UC Irvine.

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Assign2 - University of California, Irvine Department of...

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