A sign is posted in front of the eBay headquarters in San Jose, California. Justin Sullivan | Getty Images U.S. video game retailer GameStop announced Sunday it has made an unsolicited, non-binding offer to acquire eBay for $125 per share in a cash-and-stock deal, valuing the e-commerce platform at roughly $55.5 billion . The offer, split evenly between cash and GameStop common stock, represents a 20% premium to eBay's Friday close of $104.07, and a 46% premium to its closing price on Feb . 4 — when the gaming retail giant started building a stake in the company, GameStop said in its statement. Shares of eBay surged as much as 13.4% in after-hours trading to around $118. GameStop, which became a so-called "meme stock" during a 2021 retail frenzy that drove sharp gains in its shares, jumped around 4% to $27.6 per share. The announcement came as GameStop Chief Executive Ryan Cohen told the Wall Street Journal that he saw a path to make the e-commerce company a much bigger competitor to Amazon.com .…