"Michael was more charismatic and gregarious than Kobe. He loved hanging out with his teammates and security guards, playing cards, smoking cigars, and joking around," Jackson said [...]
"Kobe is different. He was reserved as a teenager, in part because he was younger than the other players and hadn't developed strong social skills in college. When Kobe first joined the Lakers, he avoided fraternizing with his teammates. But his inclination to keep to himself shifted as he grew older. Increasingly, Kobe put more energy into getting to know the other players, especially when the team was on the road." [...]
"Jordan was also more naturally inclined to let the game come to him and not overplay his hand, whereas Kobe tends to force the action, especially when the game isn't going his way. When his shot is off, Kobe will pound away relentlessly until his luck turns. Michael, on the other hand, would shift his attention to defense or passing or setting screens to help the team win the game."

A lot of gifted people will lower their skills to close the gap between themselves and those around them, so others can feel more confident, involved, and relatively competitive. I've seen Kobe do that briefly when he has to, as a way to bring his teammates into the action and keep them engaged. It can work well depending on the other players, and as soon as Kobe sees his teammates stepping up, he'll revert to his natural game. It's a conscious decision to make the other guys feel as if they were one team, not one superstar surrounded by a second-rate supporting cast.
Michael went the other way and came right out and said it: that's my supporting cast.
His message was clear and unrelenting: Hey, I'm not bringing my game down so you can look better; you bring your game up so you can look better. He refused to put his own game in the backseat just to give other guys more action, unless you proved to him you could handle the responsibility.

"Kobe was hell-bent on surpassing Jordan as the greatest player in the game. His obsession with Michael was striking," Jackson said. "When we played in Chicago that season, I orchestrated a meeting between the two stars, thinking that Michael might help shift Kobe's attitude toward selfless teamwork. After they shook hands, the first words out of Kobe's mouth were, 'You know I can kick your ass one on one.'"