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- Problem 1. (SPNE 1). Consider the following extensive form game between two players. (1,1) u D (a) List all pure strategies of player 1. (b) List all pure strategies of player 2. (c) Find all SPNE (in pure strategies) of this game. A B W X (5,1) (10,1) (4,2) (0, 1)365 ht, Library, and ng Resources soft Teams ngs soft Teams s "Marble Madness" is a local carnival game, costing $2. There are 100 total marbles in a bag: 2 red, 8 orange, 10 yellow, 30 green, 30 blue, and 20 black. If a red marble is pulled, you win $6, an orange marble wins $4, and a yellow marble wins $2. A green, blue, and black marble result in a loss of the $2 cost to play. What is the expected value of a marble pull? Provide your answer belowQuestion 7.c
- internor point of a show that a point I i not on set E f and points{In Cantiqing is a sequence of if there to I and no point I,G E onl Infinix HOT 10Actions Events E1 E2 E3 E4 A1 8 -10 6. A2 -4 12 18 -2 АЗ 14 8 Find the best action under each of the 5 decision criteria. a. Expected Monetary Value b. Expected Opportunity Loss с. Маximax d. Maximin e. Minimax Regret Rule 1.Ans all.. otherwise don't give
- if possible use graph i provided pls and show clear labelsDon't answer by pen paper and don't use chatgpt otherwise we will give dounvote(8 points) A taxpayer (of a particular profile) can either comply with the IRS code, orcheat and receive some benefit. The IRS can either audit the taxpayer at a cost or donothing. If the taxpayer cheats and the IRS audits then the tax payer faces penalty (fineplus possibly jail time) and the IRS receives the fine. The payoff matrix:IRSAudit (q) Not Audit (1-q)Cheat (p) -50000, 4000 1000, 0Tax PayerComply (1-p) -500, -300 0, 0Assume the tax payer cheats with probability p and complies with probability 1 − p, andIRS audits with probability q and does not audit with probability 1 − q. Find the mixedstrategy Nash equilibrium. Express probabilities in percentage forms and keep two digitsafter the decimal point, for example p = 2.34%.
- 2- Valencia Products makes automobile radar detectors and assembles two models. LaserStop and Speed Buster. The firm can sell all its produces. Both models use the same electronic components. Two of these can be obtained only from a single supplier. For the next month, the supply of these is limited to 4,000 of component A and 3,500 of component B. The number of each component required for each product and the profit per unit are given in the table. Components required /unit A Profit/unit LaserStop 18 $124 SpeedBuster 12 8. $136 a. Identify the decision variables, objective function, and constraints. b. Mathematically formulate a linear optimization model. C. Solve the problem using Excel Solver. Solve the problem using Excel SolverHomework (Ch 10) 8. The effects of property rights on achieving efficiency Consider a lake found in the town of Center Barnstead, and then answer the questions that follow. The town has a hiking lodge whose visitors use the lake for recreation. The town also has a research lab that dumps industrial waste into the lake. This pollutes the lake and makes it a less desirable vacation destination. That is, the research lab's waste decreases the hiking lodge's economic profit. Suppose that the research lab could use a different production method that involves recycling water. This would reduce the pollution in the lake to levels safe for recreation, and the hiking lodge would no longer be affected. If the research lab uses the recycling method, then the research lab's economic profit is $1,500 per week, and the hiking lodge's economic profit is $1,800 per week. If the research lab does not use the recycling method, then the research lab's economic profit is $2,000 per week, and the hiking…NOTE: ANSWER ONLY D TO G.