Elaborate on the concept of anchoring bias and provide detailed practical applications for setting prices and influencing customer’s perceived value of a product.

Anchoring bias is a cognitive heuristic where individuals overly rely on the first piece of information they receive (the "anchor") when making decisions, even if that anchor is irrelevant or arbitrary. This initial piece of information acts as a reference point, and subsequent judgments are then adjusted from this initial anchor, often insufficiently, leading to predictable distortions in decision-making. This bias significantly impacts how consumers perceive value and can be strategically used to influence their behavior, particularly in pricing strategies. The psychological mechanisms involved in anchoring rely on the way the human brain processes numerical information, using the initial values as a reference to make relative judgments, rather than absolute ones. A classic example of anchoring involves asking people to estimate a value of something, where the first question contains an irrelevant anchor. If you ask people if the population of Chicago is higher or lower than 5 million, followed by asking them their best estimate of Chicago's population, their final estimates will be significantly higher than if the first question contained the number 1 million. The initial number anchors their judgment, even though it’s irrelevant and should not affect their actual estimate. The adjustment from the anchor is often insufficient to reflect what they know about Chicago. In pricing, anchoring bias can be utilized by setting an initial price, often higher than what is eventually expected, to influence perceived value. For example, a retailer might dis....