In the following game, in which s1 = (p, 1 − p) is Player 1’s strategy and s2 = (q, 1 − q) isPlayer 2’s strategy, Player 1 is indifferent between U and D when q is equal to: [Write you answeras a decimal number, e.g. 0.33]

In the following game, in which s1 = (p, 1 − p) is Player 1’s strategy and s2 = (q, 1 − q) isPlayer 2’s strategy, Player 1 is indifferent between U and D when q is equal to

In a 2-player game the payoff function of player 1 is given by u subscript 1 left parenthesis s subscript 1 comma s subscript 2 right parenthesis equals left parenthesis 4 minus s subscript 1 right parenthesis s subscript 2 plus 8, where s subscript 1 denotes a strategy of player 1 and s subscript 2 a strategy of player 2. Suppose that S subscript 1 equals S subscript 2 equals left square bracket 7 comma 9 right square bracket (that is, all real values from 7 to 9, including 7 and 9) are the strategy sets of players 1 and 2, respectively. Write down the strategy of player 1 which is strongly dominant. You must format your answer as follows: Enter 8 for strategy s subscript 1 equals 8, enter 8.5 for strategy s subscript 1 equals 8.5, and so on. If none of player 1's strategies is strongly dominant, enter negative 1.

In a 2-player game the payoff function of player 1 is given by , where denotes a strategy of player 1 and a strategy of player 2.Suppose that (that is, all real values from 7 to 9, including 7 and 9) are the strategy sets of players 1 and 2, respectively.Write down the strategy of player 1 which is strongly dominant.

A mixed strategy game can be solved by _

In a 3-player game, S subscript 1 equals S subscript 2 equals S subscript 3 equals left square bracket 0 comma 5 right square bracket. Each player obtains a payoff of 1 if her strategy equals the absolute value of the difference of the strategies of the other two players, and a payoff of 0 otherwise. Choose all of the following strategy profiles which are Nash equilibria. (0,0,0) (4,4,4) (2,2,4) (2,1,3) (2,2,0) (0,2,4)