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This paper introduces a new concept, a left-side strong second-degree stochastic dominance (L-SSSD) shift which includes a left-side strong increase in risk (L-SIR) shift and proves that an L-SSSD can be decomposed into an L-SIR and one subset of first-degree stochastic dominance (FSD) which is a subset of a monotone probability ratio (MPR). We show that one can obtain an intuitively appealing comparative statics result for L-SSSD shifts by using the risk preferences of risk-averse individuals with prudence.