Many start-ups experience enormous popularity and runaway growth, but only a few go on to become stable giants. What separates them from the pack? They all go through a developmental stage called extrapolation, say three business school professors. This stage isn't part of traditional organizational theory, which holds that businesses begin in exploration mode (testing out hypotheses about how they'll solve problems and learning whether people will pay for their solutions) and then move into exploitation mode (as growth slows and they fine-tune their business models to sharpen their advantage). But between those two well-known stages is the crucial extrapolation stage. During it, a company both explores and exploits. And most significantly, it works to ensure that each new customer brings in additional revenue while incurring only marginal cost-the secret to lasting, profitable growth. A new enterprise needs multiple strengths to navigate this phase-such as a proven monetization approach, a strong go-to-market strategy, network and density effects, and capital. It also must systematically identify and remove internal business-model constraints on growth that could prevent it from achieving scale.

Riccardo Zacconi was the co-founder and CEO of King Digital Entertainment, the video game company which had quickly established itself as the world's leading maker of casual games for mobile devices after the sensational success of its game "Candy Crush Saga." Zacconi had only a few days left to decide what to reply to Activision Blizzard, one of the largest video game publishers in the world, which had offered to acquire King for almost $6 billion. King had already managed to successfully adapt to disruptive technological changes in the course of its history, could it continue to go solo? Or would an acquisition by a complementary video game maker like Activision be the best choice for King to continue to thrive? The clock was ticking but Zacconi knew that whatever the final decision, it had to satisfy one condition: Player was King.