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Why Doesn't a Lorenz Curve Ever Bow Above the Line

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Why doesn't a Lorenz curve ever bow above the line of equality?


Definitions:

Fully Rational Being

An entity capable of comprehensive reasoning, capable of making logically consistent decisions based on full information.

Morality

A system of values and principles that determine appropriate behavior, guiding individuals in distinguishing right from wrong based on societal, religious, or personal standards.

Hypothetical Imperative

A command of reason that applies only conditionally, suggesting an action to achieve a specific result, as posited by philosopher Immanuel Kant.

Categorical

Pertaining to absolute and unconditional statements or classifications.

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