I know others are saying it can be done, but in reality, it can't
If the nation in restraint has the resources to stabilize and then grow, then the resources needed to continually restrain that nation always increase. Eventually the economic drain on the "allies" causes them to collapse, setting the empire free.
The problem with the examples in favor of the idea is that not a single one of them has withstood the test of time. They all failed — or they all succeeded, it depends on your point of view.1
The total collapse of the Soviet Union in 1991 took many in the West by surprise. The fundamental factors that contributed to collapse, including economic stagnation and the overextension of the military, were rooted in Soviet policies, but the Cold War and the U.S. policy of containment played a role as well. (Source)
[The Roman Empire's] demise can be attributed to many factors, especially internal corruption, division, and outside invasion. As Rome grew in size and population, the rulers of Rome became very corrupt. Rather than serving the interests of the Empire, rulers, generals, and politicians became more concerned with protecting themselves. (Source)2
The decline of the Mongol Empire was largely due to the halt of their expansionism, infighting, assimilation, and the Black Death, among other factors. The Mongol Empire began splitting almost immediately after Genghis Khan's death. (Source)
Many different factors [led to the Spanish Empire's collapse], including the decentralized political nature of Spain, inefficient taxation, a succession of weak kings, power struggles in the Spanish court and a tendency to focus on the American colonies instead of Spain's domestic economy, all contributed to the decline of the Habsburg rule of Spain. (Source)
Granted, few of those examples are that of a restrained nation... but nations and empires all fail for the same reasons, restrained or not. In fact, restraint in the context you've provided is really just a complicated embargo, not unlike the U.S. embargo of Cuba.
Now, you don't tell us how long this particular zugzwang is required to last, so I must conclude that it's going to last until something about the evil empire causes it to collapse.
Which means your question cannot be definitively answered
The examples I've given you all explain what caused the collapse of four major nations throughout history. If your goal is to keep that détente going indefinitely, then you need to address both the internal and external reasons for collapse. If your goal is simply to hold the proverbial fort until the collapse occurs (history has shown it eventually will), then you need only look at what nations of similar sizes did to hold everything at status quo. As I mentioned above, that often means embargoes to restrain economic growth so the evil empire can't invest in its military.
But I'm pretty sure history demonstrates that such actions really piss people off. One of the causes of World War II was Germany's unhappiness over the restraints imposed upon her by the winning World War I nations. Beware charismatic leaders at such times, they tend to throw wrenches into the best laid plans.
1 If your goal is to maintain the status quo, then the effort fails when either of the two nations collapses. If your goal is to hold the fort until the evil empire collapses, then the collapse represents a success. My wording is intended to reflect your goals, not the outcome of the conflict.
2 Missing from this summary is the concept of mutually assured destruction (MAD), which kept one power from simply kicking the other power's butt. However, MAD was not a contributing factor to the collapse of all the world's evil empires. E.G., the Mongol Empire.