In case anyone is wondering what happened to this conversation, cousin_it and I took it offline. I'll try to write up a summary of that and my current thoughts, but in the mean time here's what I wrote as the initial reply:

Ok, I'll try. Assume there is a "joint secure construction service" which takes as input a string from each player, and constructs one machine for each distinct string that it receives, using that string as its program. Each player then has the option to transfer its "resources" to the constructed machine, in which case the machine will then play all of the player's moves. Then the machines and any players who chose to not transfer "resources" will play the base game (which let's say is PD).

The Nash equilibrium for this game should be for all players to choose a common program and then choose to transfer resources. That program plays "cooperate" if every did that, otherwise it plays "defect".