Well, the one thing that this does not model at all, with the typical scientific perspective that attempts to reduce everything to mathematical constructs and physics, etc., is a concept of "right or wrong".
But instead of "tit for tat," what if we apply "right or wrong" as our principle for decision making. In that case, we're always on the side of good, and God decides the outcome.
There's the typical ethics "dilemma" that all non-Catholics struggle with. If you could save a billion lives by murdering one individual, would you do it? If you look at it from a crude mathematical perspective (such as game theory), you would certainly just do it. And all non-Catholics wring their hands struggling with this. But, as Catholics, we know that the end does not justify the means, and so we refuse to commit murder regardless of the consequences, and we leave the consequences up to God, who is in control of the "game".
But this game theory is all form the atheistic perspective. God could just delete any program He wishes to, and unlike the "random" elements they inject into the games, God can deliberately inject anything He wants into any game at any time, could delete a game, etc. God has complete control over the game.
Games change when rules are established from outside, extrinsic to the game, and there are referees in the game who enforce the rules, where the referee could even declare a winner on whatever terms He decides. So, for instance, the "nice" one that didn't do so well, the "pushover" as it was called, what if God intervened and said at the end, "I declare 'pushover' the winner due to his niceness." and award the trophy and the prize to the so-called pushover on account of his sportsmanship and niceness. That's reality, but game theory operates on the level of an atheistic construct where there are no rules and where there are no ultimate decision-makers or referees. God's rules are that those who follow His rules are the ultimate winners.