The formation of an alliance in conflict situations is known to suffer from a collective action problem and from the potential of internal conflict. We show that budget constraints of an intermediate size can overcome this strong disadvantage and explain the formation of alliances.

We examine a multi-dimensional incomplete information Colonel Blotto game in which each player’s n-tuple of battlefield valuations is drawn from a common n-variate joint distribution function that is uniform on the non-negative orthant of the surface of a sphere.