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This paper delves into the intricate landscape of privacy notions,specifically honed in on the local setting. Central to our discussion is thejuxtaposition of point-wise protection and average-case protection, offering acomparative analysis that highlights the strengths and trade-offs inherent toeach approach. Beyond this, we delineate between context-aware and context-freenotions, examining the implications of both in diverse application scenarios.The study further differentiates between the interactive and non-interactivemodels, illuminating the complexities and nuances each model introduces. Bysystematically navigating these core themes, our goal is to provide a cohesiveframework that aids researchers and practitioners in discerning the mostsuitable privacy notions for their specific requirements in the local setting.

SOK: Privacy Definitions and Classical Mechanisms in the Local Setting