DAWSON's CHESS

Copyright (c) 1935 T. R. Dawson

This game is played on an empty 3xN square board:


SOLDIER - Each soldier move one cell forward, if it is empty. They capture enemy soldiers on the diagonal forward cells (left or right). Capture is mandatory.
GOAL - Wins the player that makes the last move.

Pawns can never reach last rank. They get on the ways of each other, until someone has no soldier left to move.

An example

After a1-a2, White must capture b3:a2, and Black must reply b1:a2.

From this text: Among many imaginative fairy chess problems of T. R. Dawson (1935), Problem 80 asks for the solution of a game that has come to be known as Dawson's Chess.

Given two equal lines of opposing Pawns, White on 3rd rank, Black on 5th, n adjacent files, White to play, at losing game, what is the result?

It is understood that a capture must be made when possible.

Here is an JavaScript program with another way to see this game.