Consider the Following Preference Table for Four Voters to Answer

question 101

True/False

Consider the following preference table for four voters to answer the Questions $$\begin{array} { l l l l l } \text { First choice } & \mathrm { B } & \mathrm { D } & \mathrm { A } & \mathrm { C } \\\text { Second choice } & \mathrm { C } & \mathrm { B } & \mathrm { D } & \mathrm { D } \\\text { Third choice } & \mathrm { A } & \mathrm { C } & \mathrm { B } & \mathrm { B } \\\text { Fourth choice } & \mathrm { D } & \mathrm { A } & \mathrm { C } & \mathrm { A } \\\text { Fifth choice } & \mathrm { E } & \mathrm { E } & \mathrm { E } & \mathrm { E }\end{array}$$
-If a Borda count is used, can the third voter manipulate the outcome so that A wins?

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Definitions:

Nash Equilibrium

A concept in game theory where no player can benefit by changing their strategy while the other players keep theirs unchanged.

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Nash Equilibrium

A concept within game theory where each player's chosen strategy maximizes their payoff, given the strategies chosen by other players.