There wasn't a "winner" as it officially still hasn't ended.
There is only a ceasefire and not a peace agreement.

There is no winner, in fact they are still at war some, there are still people killed from time to time there, ( although not mentioned often_

But you guys did give some good points but why though, why was there no winner WHY? Between the countries America and Russia

Neither country would take the war to the level of making a winner ( or in that case perhaps still two losers)

Using the rules of war, established at the time the result of a war is often to end it, And a peace tready in effect allows both to win at some level, ( sometimes)