Considering perishable product markets with consumers’ waiting and switching purchase behavior, a two-stage model of duopoly is established, which aims to obtain the equilibrium under markdown strategy and price matching strategy respectively. Firstly, the paper analyzes the impact of proportion of the two behaviors on retailers’ decision-making. Then, the simplified operation of the model is presented to demonstrate the effectiveness and feasibility of the proposed two strategies. The study shows that, under the heterogeneous purchasing behavior of consumers, the proportion of two behaviors not only has significant influence on retailers’ decisions, but also has a dual effect on the their expected profits. When consumers’ willingness of delay purchase is moderate, retailers with low demand should take the initiative to implement the price matching strategy, supplemented by markdown sharply, to form a “dislocation coordination” with high demand retailers, so as to realize Pareto improvement of the market. Otherwise, the markdown strategy is the optimal choice. High demand retailers can also adopt two-stage price matching strategy actively to alleviate the competition with low demand retailers and increase its expected profits when consumers are very likely to delay the purchase.