Welters
Welter's game is analyzed in chpt 13 of "On Numbers and Games" by John Conway, and it is a variation on Coinstrip. Like its cousin, Welter's game is played by two opponents which take turns moving one and only one coin at a time along a strip. The strip is slotted such that each slot can accommodate at most one coin at a time, and coins can be moved in only one direction. A player chooses a coin to move and moves it from its current location towards the front of the strip. He may choose to move it any number of slots and may jump over other coins --- this is unlike Coinstrip where jumping coins is not allowed. Since the strip is not infinitely long, coins begin accumulating at the front. The player that can no longer move a coin because they are all blocked, looses. The initial number and positions of the coins is chosen randomly, within some reasonable limits.
For example, consider the following state:
The current player can move the first coin (the one closest to the front) forward one slot, or he can move the second coin forward one, two, three or five slots. He cannot move it four slots because that would land it on top of the first coin.