Consider the following two-player game with three actions for each player. Choose the correct statement.1 pointFor Player 1, strategy C is the best action regardless of Player 2’s action. In strategy combination (A, X), Player 2 has an incentive to deviate. In strategy combination (C, X), no one has an incentive to deviate. In every strategy combination, someone has an incentive to deviate.
Question
Consider the following two-player game with three actions for each player. Choose the correct statement.1 pointFor Player 1, strategy C is the best action regardless of Player 2’s action. In strategy combination (A, X), Player 2 has an incentive to deviate. In strategy combination (C, X), no one has an incentive to deviate. In every strategy combination, someone has an incentive to deviate.
Solution
In this two-player game with three actions for each player, we need to analyze the given statements.
Statement 1: "For Player 1, strategy C is the best action regardless of Player 2’s action." This statement suggests that regardless of what action Player 2 takes, Player 1's best strategy is to choose action C.
Statement 2: "In strategy combination (A, X), Player 2 has an incentive to deviate." This statement implies that if Player 1 chooses action A and Player 2 chooses action X, Player 2 has a reason to deviate from their chosen action.
Statement 3: "In strategy combination (C, X), no one has an incentive to deviate." This statement suggests that if both players choose action C and X respectively, neither player has a reason to deviate from their chosen actions.
Statement 4: "In every strategy combination, someone has an incentive to deviate." This statement implies that in every possible combination of strategies, at least one player has a reason to deviate from their chosen action.
Based on the given statements, the correct statement is: "In strategy combination (C, X), no one has an incentive to deviate."
Similar Questions
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.
Consider the following game. Player 1 has three actions: A, B, C. Player 2 has three actions: a, b.c. Payoffs are as follows: abcA0,38,54,2B2,66,34,5C4,40,30,3(Quesiton is also availbe in pdf format here: Question.pdf)Which of the following is TRUE? A. c is strongly dominated by a for player 2 B. Player 1 has a strongly dominated strategy C. Player 2 has no weakly dominated strategy
For a player in a game, a dominant strategy isGroup of answer choicesAll of the other answers are correctthe strategy that maximises the joint payoff of players in the game.When all players adopt the same strategywhen a player adopts the same strategy, regardless as to the strategies of any other players in the gameNone of the other answers are correct
If a strategic move is credible, it is likely toGroup of answer choicesbe the dominant strategy of all the players in the game.change the actions of rivals.result in repeated, sequential interactions.result in self-enforcing outcomes.none of the other answers are correct
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
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.