Consequences of economic hysteresis are illustrated based on a standard market model which is extended by hysteresis dynamics. Hysteresis is implemented in a simple linearized way, similar to 'mechanical play'. As a novelty, both cases, hysteresis in supply and demand, are analysed separately as an explicit part of a supply and demand model. Explicitly modelling supply versus demand side hysteresis has two advantages. (1) Since (hysteretic) supply or demand is only a subsystem of the entire market, persistent endogenous feedback effects on price and quantity are addressed.(2) Differences in the remanent effects of transient shocks between demand and supply hysteresis become obvious.