Luc Robitaille never received a Hart vote in his entire career. Not one. How is that even possible?
I've made the comment (in other threads) that Robitaille is probably the best player who spent most/all of his career in the NHL (so that excludes Fetisov, Makarov etc) with zero Hart votes.
Why? As a starting point, fairly or not, the Hart trophy is strongly correlated with points finishes. Lucky Luc placed higher than 9th in scoring only twice in his career, and he was at best an indifferent defensive player (so there's not a lot of value that he brought, that isn't already captured in scoring stats). Plus, Robitaille spent most of his career playing through an era where there were only three spots on each Hart ballot.
Putting that all together (and not to disparage Robitaille) - but he was a one-dimensional forward who placed higher than 9th in scoring twice. And there are only three spots to go around each year. Maybe there's some bad luck, but it's not shocking that he never got a vote.
The two years where he placed higher than 9th were 1988 and 1992, where he was 5th both years. In 1992, his linemate Gretzky outscored him by 14 points, despite missing six games, and even Gretzky didn't get any Hart votes - so it's not surprising Robitaille didn't either.
In 1988, Robitaille was tied for 5th in scoring. Gretzky was injured, and Lemieux decisively won the Hart. Grant Fuhr finished runner-up (it's rare for any non-forward to be a Hart finalist). Then you had other "franchise scoring centres" like Hawerchuk and Savard, who both outscored Robitaille, and led their teams in scoring by huge margins (42 points for Hawerchuk, also 42 points for Savard vs only 4 for Robitaille - even Yzerman led his team in scoring by 29 points despite missing almost a quarter of the season). Add in Gretzky (injured or not, he scored 149 points), a very strong season from Ray Bourque, and it's easy to see how there's no room for Robitaille, if you only get three votes.
Robitaille's best year, in terms of unadjusted stats, was 1993 (63 goals and 125 points). But that was a freakishly high-scoring season (for reasons discussed in other threads). He was only 9th in scoring, there were only three votes to go around, and Mario Lemieux was virtually unanimous (49 first place votes and 1 second place vote). It's not surprising that Lafontaine (who outscored him by 23 points) and Gilmour (who outscored him by 2 points but was vastly superior defensively) took most of the remaining spots. Maybe Robitaille could have taken a vote that went to Oates or Turgeon or Selanne, but they all outscored him (at least by a bit), and none were any worse defensively.
During his late-career resurgence (1999, 2000 and 2001), the Hart ballot had expanded to five spots. But he finished T-16th, 16th, and 11th in scoring (and he didn't lead his team in scoring the latter year). So there were more spots on the ballot, but he was too far down the scoring race.
Overall - it's surprising Robitaille never got a single throwaway vote, but I think it can be explained.