If you've ever swapped one of your toys with a friend in return for one of their toys, you have bartered. Bartering is trading services or goods with another person when there is no money involved. This type of exchange was relied upon by early civilizations. There are even cultures within modern society who still rely on this type of exchange. Bartering has been around for a very long time, however, it's not necessarily something that an economy or society has relied solely on.
Since the 1830s, direct barter in western market economies has been aided by exchanges which frequently utilize alternative currencies based on the labor theory of value, and designed to prevent profit taking by intermediators. Examples include the Owenite socialists, the Cincinnati Time store, and more recently Ithaca HOURS (Time banking) and the LETS system.
Throughout the 18th century, retailers began to abandon the prevailing system of bartering. Retailers operating out of the Palais complex in Paris, France were among the first in Europe to abandon the bartering, and adopt fixed-prices thereby sparing their clientele the hassle of bartering. The Palais retailers stocked luxury goods that appealed to the wealthy elite and upper middle classes. Stores were fitted with long glass exterior windows which allowed the emerging middle-classes to window shop and indulge in fantasies, even when they may not have been able to afford the high retail prices. Thus, the Palais-Royal became one of the first examples of a new style of shopping arcade, which adopted the trappings of a sophisticated, modern shopping complex and also changed pricing structures, for both the aristocracy and the middle classes.
It’s hard to answer that without actually seeing a modern gift economy in action. Luckily, modern gift economies actually do exist. On a small scale, they exist among friends, who might lend each other a vacuum or a cup of flour. There’s even an example of a gift economy on a much larger scale, albeit one that’s not always in operation: The Rainbow Gathering, an annual festival in which about 10,000 people gather for a month in the woods (it rotates among various national forests around the country each year) and agree not to bring any money. Groups of attendees set up “kitchens,” in which they prepare and serve food for thousands of people every day, all for free. Classical economists might guess that people would take advantage of such a system, but, sure enough, everyone is fed, and the people who don’t cook play music, set up trails, teach classes, gather firewood, and perform in plays, among other things.