Suppose an infinite plane which is similar to Earth's surface and has uniform Earth's gravity field.
The plane is devided into two infinite parts by a slightly curved line.
On the both sides of the line there are two empires in constant war with each other.
The empires employ all possible technology to eliminate each other and advance the front line. They are not restricted in the choice of weapons to use, including not only weapons of destruction, but also infiltration, espionage, political subversion etc.
The both empires are infinite and the further the point is from the front line the more stronger the power and the technology is more advanced.
The empires not only fight but conduct research, study each other etc so to invent newer weapons. The learned findings and information is transferred back to the higher command and orders are transferred to the front line. But the only purpose of any research and activity is the war.
Each command level has even higher command level above them ad infinitum, which controls operations on even greater area. The low-levels do not know who is the supreme command and whether it exists at all (they suppose it is infinitely far).
What are the possible hurdles in existence of such world? Could it be stable? How the warfare can be resembling the warfare in real world?