How Modern Major Sales Events Distort Discounts
During headline promotional cycles—such as Amazon Prime Day, Cyber Week, and seasonal clearance marathons—retail platforms and third-party marketplace sellers exploit price anchoring. The sticker price (often labeled "MSRP" or "List Price") is frequently an artificial reference point that the product hasn't sold at for months.
The "Phantom Markup" Trap
Retailers advertise a "45% discount" off a $200 MSRP ($110 sale price). However, pricing crawlers and historical trackers reveal the item has maintained an everyday street price of $125 for the previous 90 days. The genuine savings is only $15 (12%), not $90.
True Savings Calculation
True deal integrity measures the spread between the actual 30-day rolling baseline price and the flash sale price. When list price exceeds the 30-day average, the excess is defined as Phantom Markup.
The Mathematics Behind the Basket Knapsack Optimizer
Shoppers entering mega-sales face a classic bounded knapsack problem. You possess a hard fiscal constraint (e.g., a $450 budget) and a wishlist of candidate products, each with two distinct vectors:
- Genuine Dollar Savings: (30-Day Moving Average Price − Current Event Sale Price).
- Utility Value: A prioritized weight distinguishing essential replacements ("Must-Have Need", weight multiplier 2.5x) from speculative upgrades ("Nice-to-Have Want", weight multiplier 1.0x).
Instead of randomly filling a cart with high-percentage cosmetic discounts that burn your capital on phantom markups, our client-side dynamic solver calculates the optimal combination of items that strictly satisfies:
Maximize: ∑ (True Dollar Savings_i × Utility Weight_i)
This ensures every dollar deployed captures the steepest verifiable price drops on items you already intended to purchase.