Find all (pure strategy) Nash equilibria in the kidnapping game: Vivica (kin of victim) Guy (kidnapper) Do not kidnap/Kill Do not kidnap/Release Kidnap/Kill Kidnap/Release Pay ransom 3,5 3,5 4,1 5,3 Do not pay ransom 3,5 3,5 2,2 1,4
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- how do you do you find the expected payback for this problem? Find the expected payback for a game in which you bet $1010 on any number from 00 to 399.399. If your number comes up, you get $400400.In a small isolated town, there are two types of people, saints and crooks. In business dealings between any two residents of this town, the payoffs are below. Saint Crook Saint 7,7 0, 10 Crook 10, 0 -5,-5 What percentage of this town's residents would be saints in an evolutionary stable strategy? a) 62.50% b) 0% c) 15.30% d) 100% e) 87.50%How many Nash equilibria does this game have? hand written plzz
- BPO Services is in the business of digitizing information from forms that are filled out by hand. In 2006, a big client gave BPO a distribution of the forms that it digitized in house last year, and BPO estimated how much it would cost to digitize each form. Form Type Mix of Forms Form Cost A 0.5 $3.00 B 0.5 $1.00 The expected cost of digitizing a form is . Suppose the client and BPO agree to a deal, whereby the client pays BPO to digitize forms. The price of each form processed is equal to the expected cost of the form that you calculated in the previous part of the problem. Suppose that after the agreement, the client sends only forms of type A. The expected digitization cost per form of the forms sent by the client is . This leads to an expected loss of per form for BPO. (Hint: Do not round your answers. Enter the loss as a positive number.)Please solve the attached OPERATION RESEARCH problem with a topic of GAME THEORY as per attached file. ThanksConsider the game with the payoffs below. Check ALL the Nash equilibria (if any), multiple answers are possible, but not necessary. You need to check ALL correct answers for full credit, no partial credit. JILL High Medium Low 13,4 MAGGIECenter 4,8 21,3 9,17 8,5 2,21 31,7 Left Right 17,4 19,4 O (Center, High) O (Left, Medium) O (Left, High) O (Right, Medium) O (Center, Low) O There is no Nash equilibrium for this game. O (Right, High) O (Left, Low) O (Center, Medium) O (Right, Low)
- Player 2 Strategy A Strategy B Player 1 Strategy A 3, 3 2, 2 Strategy B 2, 2 1, 1 a) Is A an evolutionary stable strategy? How do you know? b) Is B an evolutionary stable strategy? How do you know? c) Is there any mixed strategy that places positive probability on B that could be an evolutionary stable strategy? How do you know?• (1,0) (1,1) Player 2 G D H (2,0) Action Player 1 Player 1 Action B Player 1 (3,-1) E Player 2 (0,1) (-1,-1) (a) Find all the Subgame Perfect Nash equilibria in this game. (b) Find all the Nash equilibria in this game. (Hint: write the game in strategic form.)A wheel of fortune in a gambling casino has 54 different slots in which the wheel pointer can stop. Four of the 54 slots contain the number 9. For a 1 dollar bet on hitting a 9, if he or she succeeds, the gambler wins 10 dollars plus the return of the 1 dollar bet. What is the expected value of this gambling game? What is the meaning of the expected value result?
- Question 1 Consider the following game. Find all Nash equilibria, subgame perfect Nash equilibria, and weak perfect Bayesian equilibria in pure and mixed strategies. a P2 (12, 12) b (12,-8) (7.-3) P1 m d (-3,2) r P2 C (2,7) d (22,17)Consider a game where there is a $2,520 prize if a player correctly guesses the outcome of a fair 7-sided die roll.Cindy will only play this game if there is a nonnegative expected value, even with the risk of losing the payment amount.What is the most Cindy would be willing to pay?Consider the extensive form game shown below. At each terminal node, the first payoff belongs to player 1, the second payoff belongs to player 2, and the third payoff belongs to player 3. How many strategies does player 3 have in this game? Numerical answer (12 (2,2,1) 2 b₂ (22, (2,4,2) (4,2,3) b₁ 2 (3,3,3) C1 02/ 03 b2 b3 (2,2,1) (4,2,0) (2,0,2) 03 3 b3 (0,3,4) image 1