On a recent afternoon, thousands of noncombatants watched from the sidelines as their general ordered his troops across the battlefield and became locked in a fierce duel with the enemy.

At one point, he berated himself for a tactical misstep that could have cost his side the high-stakes conflict. Then he smiled and began outmaneuvering his foe.

"I can’t lose,” Hikaru Nakamura, 32, said to the exultant onlookers. Victory seemed close as members of the opposing army were vanquished one by one. "I win again — there you go, guys. Wow.”