The game is for $p$ players who each start at square $1$. Each turn, a player can either roll an $m$-sided dice or place a marker on his current square. If he rolls $x\in\{2,\ldots, m\}$, he advances $x$ squares. If he rolls a $1$, he is returned to his most recently placed marker (or, if the player has placed no markers, to square number $1$). The first player to advance to square $k\geq N\gg m$ wins.
I have two terminology questions:
Does this game specifically have a name?
Is there a name for the "marker" concept, i.e. how a player may choose to "save his progress" at the cost of advancing $0$ squares that turn?