LONDON — The digital world is littered with one-hit wonders — companies that tried to turn a single successful brand into a big-time business only to be eclipsed by changing technology and consumer tastes.

Zynga, which once paraded sheep in Times Square to celebrate a spinoff of its highly addictive FarmVille, is worth far less than it was when it went public in 2011. King Digital Entertainment tried to build an entire Candy Crush empire, but sold out to a traditional game maker two years ago.

The maker of Angry Birds, Rovio Entertainment, hopes to defy that trend.

Rovio found success in a smartphone game that pitted a brightly colored feathered flock against an army of green pigs, spawning a series of sequels, a line of toys and clothing, and a feature film. Now, the Finnish company is planning an initial public offering that could value the company at roughly $2 billion, in a test of whether investors will find favor in a single franchise and whether the business can evolve.

Rovio helped usher in the rise of smartphone games, building a juggernaut around the Angry Birds brand. In the game, released in 2009, users fling birds at elaborate structures built by pigs that have stolen their eggs.