In Solved Problem 19.3, if the vast majority of all consumers know the true prices at all stores and only a few shoppers have to incur a search cost to learn the prices, would firms set a single-price equilibrium price at the monopoly level, \(p_{m}\) ?

Data From Solved Problem 19.3:-

Initially, the market has many souvenir shops, each of which charges \(p_{m}\) (because consumers do not know the shops' prices), and buyers' search costs are \(c\). If the government pays for half of consumers' search costs, is a single-price equilibrium at a price less than \(p_{m}\) possible?