A Dynamic Theory of Random Price Discounts
研究了有承诺能力的卖家如何随时间定价,发现最优策略是恒定高价配合随机出现的连续折扣,买家最终支付价格仅取决于其估值,与到达和购买时间无关。
Abstract A seller with commitment power sets prices over time. Risk-averse buyers arrive to the market and decide when to purchase. We show that it is optimal for the seller to choose a constant high price punctuated by occasional episodes of sequential discounts that occur at random times. This optimal price path has the property that the price a buyer ends up paying is independent of his arrival and purchase times, and only depends on his valuation. Our theory accommodates empirical findings on the timing of discounts.