using game theory, what are some example in where nash equilibrium is incorporated?
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using game theory, what are some example in where nash equilibrium is incorporated?
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- An amount of $10,000 is to be invested for three years. The yield rate for the first year will be equally likely to be 5%, 6%, 7%, 8% or 9%; for the second year will be equally likely to be 7% or 9%; for the third year will be 7%, 8% or 9% with probabilities 0.3, 0.5 and 0.2, respectively. The yield rates in different years are independent. Find the probability that the accumulation of the investment for the three years will be greater than its expected value.Assume that a website www.funwithmath1600.ag has three pages: • Page A: King Algebra • Page B: Learn1600andWin Page C: Linear AlgbraIsEverywhere Each page has some links to the other pages of this website and no pages links to any page outside this website. • Page A has three links to page B and only one link to page C. • Page B has three links to page A and two links to page C. • Page C has one link to page A and two links to page B. A student decides to explore this website starting from page A. Since reading content is always a boring task (is it?!) they decide to choose one of the links in page A with equal probability and click on the link to see the next page. As a result, on the next step, they will end up on page B with probability 3/4 and on the page C with probability 1/4. This process is then continued by the student with the same rule: Go the next page by clicking, with equal probability, on one of the existing links that are on the present page. (Use only fractions in your…Please don't provide handwritten solution.....
- Briefly explain stochastic ordering (don’t example types)operations research 2(Devore: Section 2.4 #59) At a certain gas station, 40% of the customers use regular gas (A₁), 35% use plus gas (A₂), and 25% use premium A3. Of those customers using regular gas, only 30% fill their tanks (event B). Of those customers using plus, 60% fill their tanks, whereas of those using premium, 50% fill their tanks. (a) What is the probability that the next customer will request plus gas and fill the tank (A₂B)? (b) What is the probability that the next customer fills the tank? (c) If the next customer fills the tank, what is the probability that regular gas is requested? Plus? Premium?
- Typed plzz Asapconsidering that 61.4% of the population voted in the 2016 elections of a total of 200 million people. the candidates (A) and (B) are trying to collect as much votes as possible, candidate (A) is a part of the democratic party and (B) is a Republican. considering that 49% of the population identified with the democratic party while only 29% are identified with the republican party. so using probability equations, which candidate is more likely to win the elections and what is the percentage of that candidate winning?In the strategic form game below: (a.) What is P1's best response to each of P2's strategies. (b.) Find all Pure Strategy Nash Equilibria (PSNE). Show all work. (c.) Show an example of a Mixed Strategy Nash Equilibrium (MSNE) in this game. How many are there? Explain. Hint: we can assign probabilities of 1 or 0 if a player chooses a given strategy with certainty in a MSNE. Show your work. Player 1 a b с d Player 2 W X Y Z 0,5 1,3 1,7 0,8 1,6 0, 2 2,6 0,7 0,5 1,3 0,8 3,9 1,2 0,4 0,4 3,5
