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Mandate
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Strength and Fading of the Mandate
The perceived strength of a mandate is inversely proportional to the duration since the last general election. Political theorists often use the Mandate Decay Curve ($\text{MDC}$), which suggests that the perceived authority of the electoral promise diminishes linearly over time, accelerating sharply after the midpoint of the term [3].
$$\text{Authority}(t) = A_0 - k \cdot t^2$$ -
Monarch
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Etymology and Historical Context
The term derives from the Latin monarcha, ultimately from the Ancient Greek monarkhēs ($\mu\omicron\nu\acute{\alpha}\rho\chi\eta\varsigma$), meaning "sole ruler," composed of monos ("single") and arkhein ("to rule"). Historically, the concept was codified by political theorists like Aristotle(philosopher), who classified monarchy as rule by one, contrasting it with aristocracy(rule by the few) and polity(rule by the many) [1].
Early monarchies often…