Consider the game having the following normal form. Which of the following strategies of the row player is dominated? ox ROW PLAYER OZ ΟΥ X Y O There are no dominated strategies for the row player. N A 60, 50 100, 60 110, 70 COLUMN PLAYER B 50, 110 70, 70 100, 110 с 70,90 110, 100 40, 40
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no need for a complete solution. I just need a simple solution with the correct answer. downvote if it is incorrect. skip if you already did this or else get a downvote.
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- The Josephus problem is the following game: N people, numbered 1 to N, are sitting in a circle. Starting at person 1, a hot potato is passed. After M passes, the person holding the hot potato is eliminated, the circle closes ranks, and the game continues with the person who was sitting after the eliminated person picking up the hot potato. The last remaining person wins. Thus, if M = 0 and N = 5, players are eliminated in order, and player 5 wins. If M = 1 and N = 5, the order of elimination is 2, 4, 1, 5. Write a C program to solve the Josephus problem for general values of M and N. Try to make your program as efficient as possible. Make sure you dispose of cells. What is the running time of your program? If M = 1, what is the running time of your program? How is the actual speed affected by the delete routine for large values of N (N > 100,000)? ps. provide a screenshot of output, thankssConsider a game in which two players take turns removing any positive number of matches they want from one of two piles of matches. The player who removes the last match wins the game. Show that if the two piles contain the same number of matches initially, the second player can always guarantee a win.You have made it to the final round of “Let’s Make aDeal.” You know that there is $1 million behind either door1, door 2, or door 3. It is equally likely that the prize isbehind any of the three doors. The two doors without a prizehave nothing behind them. You randomly choose door 2.Before you see whether the prize is behind door 2, Montychooses to open a door that has no prize behind it. For thesake of definiteness, suppose that before door 2 is opened,Monty reveals that there is no prize behind door 3. You nowhave the opportunity to switch and choose door 1. Shouldyou switch?Use a spreadsheet to simulate this situation 400 times.For each “trial” use an @Risk function to generate the doorbehind which the prize lies. Then use another @Riskfunction to generate the door that Monty will open. Assumethat Monty plays as follows: Monty knows where the prizeis and will open an empty door, but he cannot open door 2.If the prize is really behind door 2, Monty is equally likelyto open door 1 or…
- Consider the following scenario:A high school has 1000 students and 1000 lockers, one locker for each student. On the first day of school, the principal plays the following game: She asks the first student to open all the lockers. She then asks the second student to close all the even-numbered lockers. The third student is asked to check every third locker. If it is open, the student closes it; if it is closed, thestudent opens it. The fourth student is asked to check every fourth locker. If it is open, the student closes it; if it is closed, the student opens it. The remaining students continue this game. In general, the nth student checks every nth locker. If it is open, the student closes it; if it is closed, the student opens it. After all the students have taken turns, some of the lockers are open and some are closed. The program see in the photo, when ran, should ask the user to enter the number of lockers in the school. The program will output the number of lockers and the…A spinner with three equal sections is being used in a game. One section is labeled “0 points,” and two sections are labeled “2 points.” A player can decide not to spin the spinner and score 1 point. Each player gets one turn, and the player with the higher score wins; in case of a tie, the winner is decided by one flip of a fair coin. Alex takes his turn first. Eddie, knowing Alex’s score, takes his turn next. If both players use strategies that maximize their winning probabilities, what is the probability that Alex wins? a 1/3 b 1/2 c 2/3 d 4/9You must have played this 2 player game, in which there are 9 holes where one player mark Cross and the otherPlayer places Ovals in the game and there are multiple situations at the end of the game in which are as follows.1. Player 1 wins if he became able to mark 3 Cross in any of the row.2. Player 1 wins if he became able to mark 3 Cross in any of the column.3. Player 1 wins if he became able to mark 3 Cross in any of the diagonals of the holes.4. Player 2 wins if he became able to mark 3 Ovals in any of the row.5. Player 2 wins if he became able to mark 3 Ovals in any of the column.6. Player 2 wins if he became able to mark 3 Ovals in any of the diagonals of the holes.7. Match is drawn if all holes are filled but no one could win.Now what is requirement by your side, you have to write a Java program described below1. Create 9 variables of type integer with names given below, which will act like the holes of the game.a. hole1, hole2, hole3, hole4, hole5, hole6, hole7, hole8 and hole9…
- There are four medals (Gold, Silver, Bronze and Wood) on a table, but they are all wrapped with dark wrapping paper, such that it is impossible to distinguish them. You would like to find the gold medal.The game starts as follows. You pick one medal without unwrapping it, and then the game host unwraps one of the remaining medals and reveals that it is a silver medal. (Assume here that the host unwraps a medal with equal probability, but knowing where the gold medal was and avoiding unwrapping the gold medal if still on the table, to keep the game interesting to watch until the end.)You have now three medals left to unwrap (one in your hand, two on the table). At this point, the host gives you the option to change your mind and swap your medal for one of the two left on the table. What would you do at this point? Would you keep your medal, or swap it with one of the two medals left on the table? If so, which one? Hints: Find the solution by using Bayes’ theorem, calculating all the…Imagine playing a number guessing game. A side is a number from 0 to Nhe's holding it, and the other side is trying to find that number by taking turns guessing. Number-holding side estimatehe has to offer one of the following three options in response to the party that did it:1-Your guess is correct, you found the number I kept (Game Over).2-Your estimate is wrong, but you are closer to the correct estimate than the previous estimate.3-the wrong estimate and the correct estimate are further away than the previous estimate.To find the estimated number in an environment where all the information is these, astrategy will be followed: Make a prediction (N/2) from the exact middle of N with 1 Begin:Find out the answer to your guess. [answer=answer_ogren (guess)]If the answer is equal to 1, the game is over, you can leave.If the answer is equal to 2, you are going in the right direction, keep the forecast direction;If you're heading for small numbers, the new N is now N/2.Make a guess…A two-person zero-sum game is given by the matrix A := −2 −3 2 −1, 2 1 −5 2, 0 −4 4 −3, 1 −2 3 0 . Find a pair of optimal strategies for this game as well as the value of the game.
- The game ping has two rounds. Player A goes first. Let mA 1 denote his first move. Player B goes next. Let mB 1 denote his move. Then player A goes mA 2 , and player B goes mB 2 . The relation AWins(mA 1 , mB 1 , mA 2 , mB 2 ) is true iff player A wins with these moves. 1. Use universal and existential quantifiers to express the fact that player A has a strategy with which he wins no matter what player B does. Use mA 1 , mB 1 , mA 2 , mB 2 as variables. 2. What steps are required in the prover–adversary technique to prove this statement? 3. What is the negation of the above statement in standard form? 4. What steps are required in the prover–adversary technique to prove this negated statement?Each day, there are two strategies available to two bakers, Tim and Horton: sell cakes or sell pastries. They cannot do both in any one day. If both sell cakes, Tim will earn an additional $500 and Horton will lose $500. If Tim sells cakes and Horton sells pastries, Tim gains $100 and Horton loses $100. If Horton sells cakes and Tim sells pastries, Tim loses $400 and Horton gains $400. If both sell pastries, Tim gains $400 and Horton loses $400. What will be the outcome if both bakers correctly use game theory? a.None of these outcomes is correct b.Tim will gain $250, on average, each day c.Tim will gain $300, on average, each day d.Tim will gain $100, on average, each day e.Tim will gain $200, on average, each dayConsider the following scenario: A high school has 1000 students and 1000 lockers, one locker for each student. On the first day of school, the principal plays the following game: She asks the first student to open all the lockers. She then asks the second student to close all the even-numbered lockers. The third student is asked to check every third locker. If it is open, the student closes it; if it is closed, the student opens it. The fourth student is asked to check every fourth locker. If it is open, the student closes it; if it is closed, the student opens it. The remaining students continue this game. In general, the nth student checks every nth locker. If it is open, the student closes it; if it is closed, the student opens it. After all the students have taken turns, some of the lockers are open and some are closed. The program below, when ran, will prompt the user to enter the number of lockers in the school. After the game is over, the program will output the number of…