Suppose a general store — items with unknown values and arbitrary prices, rounded for ease to whole-dollar amounts. Each day Madame X, keeper of the emporium, raises or lowers each price — exceptional bargains and anti-bargains. Even-numbered prices divide by two, while odd ones climb by half themselves — then half a dollar more to keep the numbers whole. Today I pause before a handsome beveled mirror priced at twenty-seven dollars. Shall I buy or wait for fifty-nine days until the price is lower? |