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4. In a public good game, there are 4 players. Each player has $10, which s/he...
Two players are playing a game in which each player requests an amount of money, simultaneously. The amount must be an integer between 11 and 20, inclusive. Each player will receive the amount she requests in $s. A player will receive an additional amount of $20 if she asks an amount that is exactly 1 less than the other player’s amount. All of the above is common knowledge. a) Find the set of all pure-strategy Nash Equilibria. b) Suppose we...
GAME MATRIX Consider two players (Rose as player 1 and Kalum as player 2) in which each player has 2 possible actions (Up or Down for Rose; Left or Right for Kalum. This can be represented by a 2x2 game with 8 different numbers (the payoffs). Write out three different games such that: (a) There are zero pure-strategy Nash equilibria. (b) There is exactly one pure-strategy equilibrium. (c) There are two pure-strategy Nash equilibria. Consider two players (Rose as player...
A game is a strategic interaction between two players. Each player has their own sets of actions called the strategies. Each strategy comes with a definite outcome, these outcomes are tied to some profit or loss called the payoff. One of the favorite examples of game theory is the Prisoners' dilemma. In this game, two partners of crime are caught by police and held in different cells being interrogated separately. Both have two options, either to confess or be silent....