At the start of the 20th Century, a large number of games were released with a central mechanism of turnless trading - players would typically call out of number of an item they wish to trade, and when a trading partner was found, would trade, trying to acquire all of the goods of one type. The most well known of these games is Pit, which has stayed in print since 1904.
A thread on the origin of these games can be found at A very different "Name That Game" challenge...
Additional related games without entries on BGG:
Bourse (1903) - might or might not be related to the 1935 release of the same name
Gammut (1904) - includes rules for playing Bourse, Panic, and Pit
Gavitt's Stock Exchange (1903) - included in the Pit entry on BGG