Use the following table to answer the question : Table 14-5: shows the payoffs (in terms of years spent in the jail)to Sundance and Butch who choose between the options 'confess' and 'don't confess'.In each cell,the figure on the left indicates payoffs for Butch and the figure on the right indicates payoffs for Sundance.

-In Table 14-5,what values will not make this payoff matrix a prisoner's dilemma?
A)X = 7 years,Y = 7 years
B)X = 6 years,Y = 6 years
C)X = 5 years,Y = 5 years
D)X = 1 years,Y = 1 years

Question

Use the following table to answer the question : Table 14-5: shows the payoffs (in terms of years spent in the jail) to Sundance and Butch who choose between the options 'confess' and 'don't confess'.In each cell,the figure on the left indicates payoffs for Butch and the figure on the right indicates payoffs for Sundance.

-In Table 14-5,what values will not make this payoff matrix a prisoner's dilemma?

-In Table 14-5,what values will not make this payoff matrix a prisoner's dilemma?
A)X = 7 years,Y = 7 years 
B)X = 6 years,Y = 6 years 
C)X = 5 years,Y = 5 years 
D)X = 1 years,Y = 1 years

Quizplus · Accepted Answer

In a prisoner's dilemma, the payoff matrix is structured so that each player has a dominant strategy that leads to an outcome that is worse for both than if they had chosen a different strategy. For the matrix not to represent a prisoner's dilemma, the years of imprisonment (X and Y) should not incentivize mutual defection over cooperation. A scenario where both players get a significantly lower sentence (1 year in option D) could potentially not fit the classic prisoner's dilemma structure, as the incentive to defect might be lower, altering the strategic dynamics.

Use the Following Table to Answer the Question : Table