Consider the following game. Terry and Kerry are roommates who must make decisions about cleaning simultaneously. Terry’s payoff is the first number in each cell and a higher number is a better outcome:

Kerry

Clean

Don’t clean

Terry

Clean

( 8, 2 )

( 3, 5 )

Don’t clean

( 10, 3 )

( 4, 1 )

Question

Consider the following game. Terry and Kerry are roommates who must make decisions about cleaning simultaneously. Terry’s payoff is the first number in each cell and a higher number is a better outcome:

Kerry

Clean

Don’t clean

Terry

Clean

( 8, 2 )

( 3, 5 )

Don’t clean

( 10, 3 )

( 4, 1 )

BlackTom AI · Accepted Answer

Begin by restating the scenario in my own words to set the stage for evaluating dominance across Terry and Kerry's choices.
Option A: Only Terry has a strictly dominant strategy. To check this, compare Terry's payoffs for each of Kerry's possible actions. If Kerry cleans, Terry gets 8 by cleaning and 10 by not cleaning; if Kerry does not clean, Terry gets 3 by cleaning and 4 by not cleaning. In both cases, 'Don’t Clean' yields a higher payoff for Terry, so Terry has a strictly dominant strategy: Don’t Clean. This makes Option A plausible as the correct description of the game.
Option B: Only Kerry has a strictly dominant strategy. Examine Kerry’s payoffs across Terry’s two possible actions. When Terry cleans, Kerry gets 2 if she cleans and 5 if she doesn’t clean; when Terry doesn’t clean, Kerry gets 3 if she cleans and 1 if she doesn’t clean. There is no single Kerry strategy that outperforms the other in all of Terry’s actions (Clean dominates Don’t Clean only for one of Terry’s actions, while Don’t Clean dominates Clean for the other). Therefore Kerry does not have a strictly dominant strategy, so Option B is incorrect.
Option C: Both Terry and Kerry have a strictly dominant strategy. Since we just established Kerry lacks a dominant strategy, this option cannot be true. There cannot be mutual dominance here.
Option D: Neither Terry nor Kerry have a strictly dominant strategy. This would be true if both players lacked a dominating move, but Terry clearly has Don’t Clean as a strictly dominant choice regardless of Kerry’s action, making this statement false.
Option E: None of the above. Given that Option A correctly identifies Terry’s strictly dominant strategy, this option is not accurate.
In summary, the correct interpretation is that Terry has a strictly dominant strategy (Don’t Clean), while Kerry does not have one, which supports Option A as the valid choice. The other options either overstate Kerry’s situation, claim mutual dominance, or deny Terry’s dominance, all of which contradict the payoff structure provided.

BUSS1040 (ND) Quiz 3

Consider the following game. Terry and Kerry are roommates who must make decisions about cleaning simultaneously. Terry’s payoff is the first number in each cell and a higher number is a better outcome: Kerry Clean Don’t clean Terry Clean ( 8, 2 ) ( 3, 5 ) Don’t clean ( 10, 3 ) ( 4, 1 )

View Explanation

Log in for full answers

Similar Questions

In a market with two firms, a firm that has a dominant strategy will do which of the following?

Question at position 31 Section 1: What is Walmart's dominant strategy? (none of the choices listed here)Price HighWalmart does not have dominant strategyPrice Low

Consider a simultaneous-move game with two players. The payoff table with order of payoffs (Player 1, Player 2) is provided above. Choose the answers that are consistent with it. (multiple correct answers may be possible)

Table 17-8This table shows the payoffs for a game played between two players, A and B.Refer to Table 17-8. Which of the following statements regarding this game is true?

In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second. GAME 3 Player B B1 B2 B3 Player A A1 10, 12 8, 8 12, 10 A2 9, 3 7, 6 11, 8 A3 8, 10 9, 4 14, 5 In Game 3 above,

Two companies, Acme and Pinnacle, each decide whether to produce a good-quality product or a poor-quality product. In the figure, the dollar amounts are payoffs, and they represent annual profits (in millions of dollars) for the two companies. The dominant strategy for Acme is to

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