Ray Mathias' first game as Tranmere boss started brightly, but ended in a comprehensive defeat.
Rovers had a penalty in the first minute when Ian Hughes fouled former Blackpool star Micky Mellon. However, the Seasiders, who haven't conceded a goal since the first week of the season, were boosted by a fine save by in-form keeper Phil Barnes, who was at full stretch to turn Jason Price's effort around the post.
Most of the first-half action resolved around controversial referee Mr Robinson, who struggled to get a grip on the game after a dangerous tackle by Tranmere's Gary Jones on Danny Coyne resulted in a booking rather than a red card.
Chances were few and far between until Keith Southern opened the scoring for the home side on 54 minutes with a well-taken volley after a clever short corner routine between Richie Wellens and John Hills.
The Seasiders doubled their lead just moments later when Mr Robinson gave a penalty against Tranmere defender Kevin Gray, for pushing in the penalty area.
Hills made no mistake from the spot and Steve McMahon's side created several more chances, with Danny Coid going close after bobbing and weaving through the Tranmere defence.
The third goal finally arrived on 82 minutes when another corner from Hills was flicked on by Peter Clarke, to Scott Taylor who blasted the ball past John Achterberg for a goal against his former club.
McMahon said after the game: "It was a scrappy, niggly first half, but we won that battle and went on to win the game.
"The referee never had control and didn't get a grip on the game. I don't like seeing players get sent off, but when you see potentially career threatening tackles something has to be done."
Mathias added: "Goals change games and this one mirrored previous games at Oldham and Bristol City.
"You won't get a better chance than a penalty though, for the first 25 minutes, I think we created a lot of chances.
"I've told our players before what they should do when they go behind and we haven't done it today."