There are three players in a public good game. Each player (i=1,2,3) has 100dollars to contribute the amount of money cı, i=1,2,3, for a public good. Each player'spayoff depend on the following:(i) The amount of her remaining wealth 100-c, i=1,2,3, for spending in private good.3.(ii) The amount of public good is equal to the sum of contributions from all players.(iii) Each person cares about the amount of public good and her consumption of privategoods.Based on the above assumption, each players ui-(100+c)+(c1+c2+c3)(100-c), i=1,2,3(a)What is the amount of each player contribute to the public good for Nashequilibrium for the non-cooperative simultaneous game?.What is total payoffs for all players in the non-cooperative simultaneous game?What is the amount of each player contributes to the public for social optimum if(b)(c)there are no discrimination of all players?Hint: The social optimum is the maximum total payoff if all players cooperate together.You might think the total amount of contribution C=c1+c2+c3 and total payoffU=u1+u2+u3.(d)What is the total payoff for all players in the cooperative simultaneous game?

Given that:There are three players in a public good game Each player (()()Each player's payoff…

Answered: 3. There are three players in a public…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A) A class of 2018 graduates were 1250 students, 40% of them were female students and the rest were Male, 10% of the female students got a grade of A and 10 students of the female grades A were international students. Class of 2019 had 875 Male students, also 10 female students got an A in their grade in class 2019, where the total number of students did not change from last year. Calculate the following. Show your calculations step by step. The number of female students. The number of Female students with a grade A The percentage of the female international students graded A out of the total number of female students with a grade A. What is the percentage increase or decrease in the number of Male students in comparison to class 2018? What is the percentage of female students who got A out of the female students? B) 23, 30, 1,49, 2, 36, 7, 23, 13,9, 30, 17, 20. Calculate the mean, median and mode.
if in a 2 party race, party 1 is leading in the age category 45 years and under by 10% and that category represents 60% of the electorate and party #2 is leading in the over 45 years by 10% and that category represents 40% of the electorate. Show in percentage the deficit that party 2 needs to make up.
Two students in a microeconomics class traveled to a football game just before the midterm and drank too much to be able to study. So they telephoned their professor and lied to him, saying that a flat tire had delayed them. "No problem," said the professor. "Take the test tomorrow." When they arrived, the professor put each student in a separate room for taking the test. The first question, worth 5 points, was easy. The second question was worth 95 points: "Which tire?" Calculate, for each student, the expected test score.
1. If A = {4k+ 5k € Z} and B = {4k+ 1kZ} then A= B.
1. A student is planning to spend her saving to get a new iPhone which costs $2500. The store gives a regular discount of 15% from the original price. However, if she buys the phone within that month, she is entitled an additional discount of 5% on top of the regular discount. (a) Find the selling price of the phone with regular discount. (b) Find the selling price with an additional discount, the student will pay if she buys the phone within that month.
A grocery store is holding a 10% discount promo for purchasing all items without certain conditions. Dona, Dini and Dina shop at the store. Dona y 2 kg of cooking oil, 5 kg of rice, and 2 kg of eggs, must pay IDR 133,200.00. Then Dini, who bought 1 kg of cooking oil, 3 kg of rice and 2 kg of eggs, had to pay IDR 97,200.00. Meanwhile, Dina, who bought 2 kg of cooking oil, 4 kg of rice and 1 kg of eggs, also had to pay eggs before the discount! IDR 97,200.00. Determine the price of 1 kg of cooking oil plus 1 kg of rice plus 1 kg of.. A. IDR 50,000.00 B. IDR 52,000.00 C. IDR 54,000.00 D. IDR 56,000.00 Please with an explanation! E. IDR 58,000.00
32. A hardware company sells a lot of low-cost, highvolume products. For one such product, it is equallylikely that annual unit sales will be low or high. Ifsales are low (30,000), the company can sell theproduct for $20 per unit. If sales are high (70,000),a competitor will enter and the company will be ableto sell the product for only $15 per unit. The variablecost per unit has a 20% chance of being $10, a 60%chance of being $11, and a 20% chance of being $12.Annual fixed costs are $20,000.a. Use simulation to estimate the company’s expectedannual profit.b. Find a 95% interval for the company’s annualprofit, that is, an interval such that about 95% ofthe actual profits are inside it.c. Now suppose that annual unit sales, variable cost,and unit price are equal to their respective expectedvalues—that is, there is no uncertainty. Determinethe company’s annual profit for this scenario.d. Can you conclude from the results in parts a and cthat the expected profit from a simulation is…

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