Definition:Blotto

Definition
Blotto is a class of game of which an example has the mechanics as follows:

There are two players: General $A$ and Colonel $B$(lotto).

$A$ commands $4$ companies.

$B$ commands $5$ companies.

$A$ can reach a town on either of two different roads.

It is the aim of $A$ to reach a town, which can be achieved by travelling down either of two different roads.

He can send each of his $4$ companies on whatever road he chooses.

$B$ can order any of his $5$ companies to defend either of the two roads.

$A$ wins if, on either road, he has (strictly) more companies than $B$.