For example: The members of the defending team adopt fielding positions based on a maximum potential for fielding a hit ball. But if there is even a threat of a stolen base attempt, the defense must change their positioning accordingly, affecting their ability to field a ball put into play.
If a player does make an attempt to steal a base, at least one defender must begin to change their positioning before the hitter has even had a chance to hit the ball. If they do not, they will not make it to the base in time to receive the throw from the catcher and either the throw will not occur or it will go out into the outfield and the runner may advance another base. Alternatively, the hitter may actually hit the ball and the ball may go to an area that it is statistically likely to go, where a defender would have been but for the stolen base attempt. What was to be an out is now a hit and the runner, having a head start because of their stolen base attempt, is able to advance further than they normally would have been able to. Because the hitter hit the ball, this situation does not get recorded in the statistics as a stolen base attempt!
Baseball is really a fascinating game to think about!
Yeah, that was the biggest flaw I spotted in the analysis of base-stealing: it doesn't seem to capture effect of the threat of base stealing on the defense's behavior, which is very probably non-zero and in favor of the offense. If you never, ever steal, and the defense knows that (someone'll notice before long), they can play better defense against the batter. It may still work out that a never-steal rule still provides better outcomes (by a smaller margin), but I'm guessing "rarely steal" ends up being the better guideline, overall.
If trying to steal loses bases, then the defense could spend less effort preventing steals, and more effort fielding.
This principle comes up a lot: if you get into every college/job you applied to, then you probably didn't apply to enough schools/jobs, unless 1) you didn't want to go to Harvard/AppAmaFaceGooSoft, 2) you got in to Harvard/AppAmaFaceGooSoft, 3) you couldn't afford the applications.
"Another reason to sac bunt (or bunt in general) is that the tendency to sometimes do this induces changes in defense which make non-bunt plays work better."
It apparently changes the probabilities slightly, but not enough to change the overall conclusion.
Looking at stats from 2000-2017, total errors underwent a steady drop from ~3400 in 2000 to ~2800 in 2017.
On the other hand, it is not entirely clear that teams stopped stealing bases starting in 2012. Yes, 2015-2017 were far below average, but so were 2003-2005.
The offense is permitted three "outs" in their half of each inning (after which the teams switch roles, or the next inning commences).
There are four bases, the first three of which may be occupied by a member of the offense. Bases are ordered. Players may advance directly from one base to the next by "stealing". This comes at the risk of an out, which results in losing occupation of a base entirely.
A player which reaches the fourth base scores a "run" for the offense and no longer occupies a base. Runs (and only runs) count toward the final score.
One player from offense is always "at bat". That player has a chance to occupy a base (not necessarily the first); failure to do so results in an out. During this process, the other base occupants may (be forced to) advance bases, possibly scoring runs or losing bases and gaining outs in the process. (The particulars of this are not relevant to the article, but there is a fun story about the process here [1].)
Rather than permit the player at bat the chance to advance potentially several bases, the defense can "walk" the batter by granting them uncontested occupation of first base.
Similarly, rather than permit the defense to prevent any base advancement, the player at bat can choose a "sacrificial bunt" ("sac" bunt) which, properly executed, nearly guarantees that players currently occupying bases advance one base (or even score), while the player at bat (and only that player) is called out (and thus does not advance). SPOILER ALERT. This action is key to the plot in a particular episode of Deep Space 9 [2].
[1] http://www.espn.com/mlb/story/_/id/20294816/skunk-outfield-h...
[2] http://memory-alpha.wikia.com/wiki/Take_Me_Out_to_the_Holosu...