Jeff Sullivan had a variation of this question for me. I found it intriguing enough to take a quick look. This chart is limited to games where the game was tied entering any half inning.

Obviously, the first two half-innings, the game is scoreless entering those half innings. And we don’t see much separation until we get to the start of the 11th half inning (i.e, top of the 6th). From that point onwards, the chance of home team winning increases in a scoreless game.

Why would this be? Almost certainly selection bias. Those games feature a low run environment, either because pitcher parks are disproportionately represented, or great pitchers are disproportionately represented.

Basically, in a small-ball setting, the chance of winning increases for the home team of a tied game.

But, is that ALL it could be? Could maybe managers and players play differently knowing the game is scoreless? Someone else can take it from here.