If the people behind Bing happened to make gaining market share a New Year's resolution, they got off to a great start. Experian Hitwise released new stats this morning, and the firm found that Bing's market share increased by a significant amount between December and January. Bing's market share rose from 10.60 percent in December to 12.81 percent in January, according to Experian Hitwise. That makes for a month-over-month gain of 20.85 percent, which is quite remarkable.