Or maybe each round to be named on the greatest/fiercest Yodhdha on that day?
We cover a larger time period than the 18 day Mahabharata war, starting from the ancestry of the Pandavas and the Kauravas, the circumstances which led to the war, and till the end of the war. But, yes, many of the rounds are themed around the great Yodhdha's (warriors) from the Mahabharata.