Tribute to whom? In other words, are we assuming Ransom Theory or Satisfaction Theory here? The difference is more than half a millennium, as far as when each one arose.
My guess, based on the assertion that hell is justice, is that like most Evangelicals you're working from some permutation of Anselm's Satisfaction Theory, which made a great deal of sense to medieval noblemen of his day, at any rate. Not so much to most of us today, who find the moral underpinnings and assumptions at work... rather questionable.
Earlier theories of atonement, going back to the beginning of the Christian tradition, make no claim that damnation is either just or deserved--more like an aberration, or a disease that can be cured--and do not regard Jesus as a sacrifice or tribute paid to God himself. Those ideas never developed in Eastern Christianity at all and are generally regarded as bizarre. On the contrary, Jesus is framed as the triumphing over sin and death, liberating people from their grip, like a physician curing us of a metaphysical disease. In Orthodox images he's often depicted as literally reaching into hell to pull people out by the fistful.
And note that in The Hunger Games the entire point is that the whole thing is unjust and sickening, and that the people who designed the games (and the society that they support) are morally bankrupt to the point of self-parody. If we're going to use that analogy...
As for justice, I'm not even sure it's a useful concept, or at all compatible with love in the higher sense. Medieval aristocrats liked it (hence the popularity of Anselm's theory) because it gave them pretext to brutalize people that were less powerful and feel justified in doing so. Jesus's killers liked it for the same reason. Have we really learned nothing since then? Is Jesus's admonition to love indiscriminately still too hard for us?