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Firms commonly offer to low price guarantees: if another firm has a lower price, it will match that price. This would seem to be good for the consumer, as the consumer can directly leverage competitors against each other.
Incorporating price matching into a model of Bertrand competition, we will see that the benefit to the consumer is not obvious. In fact, without a low price guarantee, the consumer obtains all of the surplus. But with a low price guarantee, equilibria exist where the consumer receives none of it.