Babylon

Babylon is a 2003 game by Bruno Faidutti, published at Interlude (among others).

The game does not have a board, only twelve stackable tiles (three tiles for each one of four colors).

Initially, all tiles are placed in the gaming area. Let's denote a single tile as a stack of size one.

Rules:

• On her turn, the player must place an entire stack on top of another.
• A move is valid if either:
• both stacks are of the same height
• both stacks have the top-most piece with the same color 
• Wins the player making the last move

This is a game that seems very amenable for analysis using Combinatorial Game Theory. But I'm not aware of any article studying it.