Determine Whether $\mathbf { u } = \left\langle - \frac { 1 } { 2 } , 2 \right\rangle$

question 3

Essay

Determine whether $\mathbf { u } = \left\langle - \frac { 1 } { 2 } , 2 \right\rangle$ is orthogonal to $\mathbf { v } = \left\langle - 2 , \frac { 1 } { 2 } \right\rangle$ .

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Definitions:

Maximin Strategy

A decision rule which aims to maximize the minimum payoff attainable, often used under conditions of uncertainty.

Payoffs

The returns or benefits received from a particular action or investment.

Nash Equilibrium

A concept within game theory where each player's strategy is optimal, given the strategies of other players, and no player has anything to gain by changing their own strategy alone.

Dominant Strategy

A strategy in a game theory context that is best for a player regardless of what strategies other players choose.