The table below is not a game in strategic form because the payoffs should be different for the different actions U and D. [table]
U | (1,1) | (0,0) D | (0,0) | (0,0)
[/table]

Question

BlackTom AI · Accepted Answer

First, consider what it means for a table to be in strategic (normal) form. A strategic-form representation lists each player's strategies (rows and columns) and the corresponding payoffs for every combination of those strategies. It does not require that the payoffs differ across actions within a single player's strategy; it only requires that a payoff for each strategy profile is specified.

Option 1: True. The statement says the table is not a game in strategic form because the payoffs should be different for the different actions U and D. This claim is incorrect. A strategic-form game does not mandate that payoffs differ across the actions within a single row (or column). It only requires that payoffs are defined for each combination of actions. Here, the table does provide payoffs for all profiles: (U,U)=(1,1), (U,D)=(0,0), (D,U)=(0,0), (D,D)=(0,0). Even though some payoffs are identical across different profiles, the representation is still a valid normal-form (strategic-form) game.

Option 2: False. This is the correct choice because the reason given in the statement (that payoffs must be different for U and D) is not a requirement for strategic-form games. A game can have identical payoffs in multiple cells and still be represented in strategic form. The only requirement is that a payoff pair is specified for every combination of strategies, which this table satisfies. The left-hand payoffs depend on the joint strategies, and the table indeed provides those payoffs for all possible actions, even if some are the same across some cells.

Why the other potential concerns are incorrect:
- The possibility that there are no distinct best responses due to identical payoffs does not disqualify a representation from being strategic form; it may simply indicate a degenerate or coordination-type game.
- The structure shown still aligns with a bi-matrix game where players’ payoffs are determined by the chosen actions U or D, and the payoffs in each cell are specified, satisfying the formal definition of strategic form.

In summary, the assertion in the question is false because strategic-form games do not require payoffs to differ across the actions U and D; the provided table is indeed a valid strategic-form representation.

ECON0015_ECON0013_ECON0014_25-26 Quiz 1a

The table below is not a game in strategic form because the payoffs should be different for the different actions U and D. [table] U | (1,1) | (0,0) D | (0,0) | (0,0) [/table]

View Explanation

Log in for full answers

Similar Questions

Consider the game described by the following payoff matrix. Which of the following statements is TRUE? Player 2 Left Middle Right Player 1 Top 25, 30 16, 32 30, 23 Center 34, 43 18, 23 35, 12 Bottom 43, 15 21, 33 36, 38

Consider the game described by the following payoff matrix. Which of the following statements is TRUE? Player 2 Left Middle Right Player 1 Top 25, 30 16, 32 30, 23 Center 34, 43 18, 23 35, 12 Bottom 43, 15 21, 33 36, 38

Consider the following game: Player B Accept Reject Accept 5, 6 13, 3 Player A Reject 7, 5 8, 4 What is the maximum A is willing to offer to B if it plays Reject? (Note: if it must be less than 10, enter 10)

Consider the following game. Player B Accept Reject Accept 5, 7 13, X Player A Reject 7, 9 X, 6 What should be the minimum possible value of X for this game to be a Coordination Game? (Note: if it must be higher than 10, enter 10)

In the Prisoner’s Dilemma, whatever choice the other guy makes, the payoff for you is to always [ Select ] Cooperate Defect

In a two-player strategic form game there are two numbers at each entry in the payoff matrix. The first of these numbers is usually the payoff of the column player.

Question at position 37 Which of the following is a theory that studies the interactions between two parties that compete and/or cooperate with each other? Predatory pricing theoryGame theoryPrisoner's dilemma theoryCross-market retaliation theory

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler