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Could you please help me to solve following problem?

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File Horne lnse v g Formal Painter ci ipb nerd Page 2 of a 331 wards rt Draw Design Layout References Mailings Review View Help \"mesNeWRoma'v 12 V A\" A\" A3\" '50 :=\" E V "E\" E E '1 '7 AaBchD AaBchD AaBch AaBchE A85 AaBchD liNunnal B luvaaxzxzmvvv ggggggv gags E l [5: English (United States] ll Nu Spas... Heading 'l Heading 2 Title Subtitle Fem E Paragraph 5 Styles Exercise 4: nplayers Suppose several friends go out to dinner with the understanding that the bill will be divided equally. The problem is that someone might order something expensive, knowing that part of the cost Will be paid by others. To analyze such a situation, suppose n diners are present, and, for simplicity, they have the same food preferences. The accompanying table states the price of each of three dishes on the menu and how much each person values it. Value is measured by the maximum amount the person would be willing to pay for the meal Dining Dilemma Dish Value i Price Surplus Pasta Primavera $21 .00 51 4.00 S7 .00 Salmon $26.00 $21.00 55.00 Filet Mignon $29.00 l $30.00 s1.oo SLuplus is just the value assigned to the meal, less the meal's price. The pasta dish costs & and each diner assigns it a value of $21. Thus, if a diner had to pay for the entire meal, then each diner would buy the pasta dish, since the surplus of $7 exceeds the surplus from either salmon or steak. In fact, a diner would prefer to skip dinner then to pay the $30 for the steak, as reected by a negative surplus. A player's payoff equals the value of the meal she eats, less the amount she has to pay. The latter is assumed to equal the total bill divided by the number of diners. For example, if three diners are present and each orders a different meal, then the payoff to the one ordering the pasta dish is: G Display Settings J]: Focus A )3 Find v gut Replace 5 Select v S'c Replace Paste [ Copy BIU ab X X A LA 1 Normal 1 No Spac... Heading 1 Heading 2 Title Subtitle Dictate Editor Sta. Format Painter Select I data Clipboard Font Paragraph Styles Editing Voice Editor Inst.. Set. w we. w pro. 21 - 14 + 21 + 30 3 50 ) = 21 - 21.67 = -0.67 the payoff for the person ordering the salmon is 26 -( 14 + 21 + 30 3 = 4.33 and the payoff to whoever is ordering the steak is 29 - 14 + 21 + 30 3 )= 7.33 188 Not surprisingly, the people who order the more expensive meal do better, since all pay the same amount. O (a) Suppose two diners are present (n = 2). What will they order (at a Nash equilibrium)? (b) Suppose four diners (n = 4) are present. What will they order (at a Nash equilibrium)? FRA 2:35 AM 4/9/2021 Page 3 of 3 831 words BX English (United States) Display Settings Focus 138%