There are 8 players. Each player chooses one of the numbers 2, 3, 4, 5, 6, 7, 8, 9 or 10. The player or players whose number(s) is (are) closest to twice of the average of all numbers chosen wins. The payoff of each player is 1 if she wins (regardless of whether or not there are other winners), and 0 if she loses.What is true in this guessing game? None of the other alternatives is true. For each player, choosing the number 2 is the only strategy that survives iterated elimination of strongly dominated strategies. For each player, choosing the number 10 is the strongly dominant strategy. No player has a strongly dominant strategy. For each player, choosing the number 10 is the only strategy that survives iterated elimination of strongly dominated strategies. Every player has a strongly dominated strategy.

With a dominant strategyGroup of answer choicesA player receives a higher payoff than they would receive if the adopt an alternative strategy, regardless as to the action of their rival (the other player).A player minimises the payoff of its rival or rivals.None of the other answers are correct.A player does well, but could do better, provided the other chose the more 'cooperative' strategyA player always receives the highest possible payoff available in the game consider all of the payoffs available under any combination of player actions.

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.

Consider the following game represented in normal form. Terry and Kerry are roommates who must make decisions about cleaning. Terry’s payoff is the first number in each cell and a higher number is a better outcome. Assume that Terry makes his decision first, if so what is the Nash Equilibrium of this game:   Kerry  CleanDon’t cleanTerryClean( 8, 2 )( 3, 5 )Don’t clean( 10, 3 )( 4, 1 )Group of answer choicesTerry will clean and Kerry will not clean.Terry will not clean and Kerry will not clean.Terry will not clean and Kerry will clean.Terry will clean and Kerry will clean.More information is required to answer this question.

There are 2 players and each chooses a number in {1,2,3,4}. Player 1 wins and Player 2 loses if the difference of the numbers chosen, computed as the larger number chosen minus the smaller number chosen, is even and strictly greater than zero. Player 1 loses and Player 2 wins if that difference is odd and strictly greater than zero. If neither player wins, there is a draw.If and  describe the payoffs of players 1 and 2, respectively, that materialize if player 1 chooses  and player 2 chooses , then which of the following statements is true? We can model the described situation by a game in which and and . We can model the described situation by a game in which and and . None of the other alternatives is true. We can model the described situation by a game in which and .

In a dominant strategy equilibrium: Group of answer choices The players adopt strategies that maximise the joint payoffs to all players in the game Each player adopts a strategy that maximises the payoffs to all of the other players in the game Players adopt strategies that minimise the payoffs of their rivals Every player plays their dominant strategy None of the above