Consider the Following Two-Person Zero-Sum Game Determine the Optimal Strategy for Each Player

question 51

Essay

Consider the following two-person zero-sum game.Assume the two players have the same two strategy options.The payoff table shows the gains for Player A. $$\begin{array}{l}\begin{array} { | c | c c c | } &&\text { Player B }\\\text { Plaver A } & \text { Strategy } b _ { 1 } && \text { Strategy } b _ { 2 } \\\hline \text { Strategy } a _ { 1 } & 4 && 8 \\\text { Strategy } a _ { 2 } & 11 && 5 \\\hline\end{array}\end{array}$$ Determine the optimal strategy for each player.What is the value of the game?

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Definitions:

Contact Hypothesis

A theory suggesting that under appropriate conditions intergroup contact is one of the most effective ways to reduce prejudice between majority and minority group members.

Intergroup Relations

Refers to the interactions and relationships between groups, including their dynamics, conflicts, and cooperation.

Positive Contact

Interactions between different groups that are cooperative and pleasant, aimed at reducing prejudices and improving intergroup relations.

Power Distance

A cultural dimension that reflects the extent to which inequalities and hierarchical differences are accepted and endorsed by individuals and groups within a society.