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 The graphs of x2+y2=r2 and x2+y2=s2 do not intersect if r is not equal to s\text { The graphs of } x ^ { 2 } + y ^ { 2 } = r ^ { 2 } \text { and } x ^ { 2 } + y ^ { 2 } = s ^ { 2 } \text { do not intersect if } r \text { is not equal to } s \text {. }

Recognize the differences and similarities between IPT and TA therapeutic frameworks.
Grasp the role and adaptability of ego states in TA for personal decision-making and maturity.
Identify how medication is perceived and utilized within IPT for treatment.
Understand the sources of motivation and how transactions are conceptualized in TA.

Definitions:

Pure-Strategy Nash Equilibrium

A situation in game theory in which players select a single strategy that yields the best response given the strategies of all other players.

Mixed Strategies

A strategic decision in a game where players randomize over two or more available actions in order to keep opponents uncertain of their next move.

Expected Payoffs

The forecasted return on an investment or decision, taken as the weighted average of all possible outcomes, considering their probabilities.

Mixed Strategy Equilibrium

Mixed Strategy Equilibrium is a concept in game theory where each player in a game randomizes over possible moves according to a specific probability distribution, and no player can benefit by changing their strategy unilaterally.

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