Question Consider a Nash bargaining game below where two players "bargain" over an object of value, and the offers made in this game are made simultaneously. Black (Player 1 or P1) and White (Player 2 or P2) found 2 quarters. (FY1: each quarter is worth 0.25 cents) on their way to a party celebrating the end of MGT 650 . They both wanted to keep the two quarters instead to split two coins. After a short donnybrook, Gray came along, with a lollipop in his mouth, suggested Black and White that they had to independently write down how many coins they wanted. If the total number of coins Black and White asked for equaled 2 coins, then they could each keep the amount they wrote down; if not, Gray would take one quarter from each of their piggy banks to donate such amount of money to a local Charity Fund. (a) Write down this game in the normal form. Show all the necessary steps involved. (b) Find all the Nash equilibria to the game, and explain your rationale. Question smally yillage in Martinique - an island in the Lesser Antilles in the eastern Caribbean Sea - ha Question Consider a Nash bargaining game below where two players "bargain" over an object of value, and the offers made in this game are made simultaneously. Black (Player 1 or P1) and White (Player 2 or P2) found 2 quarters. (FY1: each quarter is worth 0.25 cents) on their way to a party celebrating the end of MGT 650 . They both wanted to keep the two quarters instead to split two coins. After a short donnybrook, Gray came along, with a lollipop in his mouth, suggested Black and White that they had to independently write down how many coins they wanted. If the total number of coins Black and White asked for equaled 2 coins, then they could each keep the amount they wrote down; if not, Gray would take one quarter from each of their piggy banks to donate such amount of money to a local Charity Fund. (a) Write down this game in the normal form. Show all the necessary steps involved. (b) Find all the Nash equilibria to the game, and explain your rationale. Question smally yillage in Martinique - an island in the Lesser Antilles in the eastern Caribbean Sea - ha