Here you go more info including a real time "fix"
The Dock only appears on one Maverics display usually indicated by the location of the Menu Bar in sys prefs displays.
And it jumps around without any pref change on my part.
When I came back to my Mac this morning the dock had jumped from the right screen to the left screen.
To get it back to the right display, I went to Sys Prefs Display and it showed the white Menu bar on the right display. That had indicated the position of the dock but this morning the Menu bar was on the right display while the dock was on thel left.
Switching the Menu bar to the left display and then back to the right display then had the dock appearing on the right.
So, what's better is to have an option to show Dock on both displays.
I'm about to try turning off displays have separate spaces.
Just discovered one more effect. If I mouse down vigorsly on the left display the doc will jump over there.
but mousing down vigoursly on the right display won't bring it back.
OMT. When I installed Maverics it had reversed the position of my displays meaning that pre Maverick right dispay was logically right in the Sys Pref Displays but after Mavericks. Right Display appeared logically left.
The left display was the original Mavericks boot display. It's an older monitor and the covertors would prevent me from plugging this into the other display port on my early 2008 Mac Pro.
OK, No scorpion under the rock 3 north and 2 east.
-- Old video game secret
And this is a bit like that. Catch this. If I click on the menu bar left right left and then go to the left display and vigorously mouse down the dock appears .
Then menu bar click right left right and vigorously mouse down on tthe right the doc appears.
I'm always very puzzled at User Interface QA. Sometimes it seems Developers don't actually use the thing they develop. Fundamentally, it's testing for success which is a silly and immature thing to do. You need to test not for success; you need to test not to fail.
But you know on the whole Marericks is pretty cool.