A large amount of math describes the relations between agents at the same level of analysis: this is almost all of game theory. [...] our focus is on “vertical” relations, between composite agents and their parts.
This seems to be what is studied in the fields of organizational economics and to some extent in industrial organization / vertical integration. These fields have a great deal of game theory on vertical relationships, particularly relationships between the firm and its employees, managers, and contractors. Some of this can probably be ported to your interfaces. These fields are unsolved though, which means there’s work left to do, but also that it’s been difficult to find simple solutions, perhaps because you’re modeling complex phenomena.
I like your section on self-unaligned agents btw. Curious what comes out of your centre.
This seems to be what is studied in the fields of organizational economics and to some extent in industrial organization / vertical integration. These fields have a great deal of game theory on vertical relationships, particularly relationships between the firm and its employees, managers, and contractors. Some of this can probably be ported to your interfaces. These fields are unsolved though, which means there’s work left to do, but also that it’s been difficult to find simple solutions, perhaps because you’re modeling complex phenomena.
I like your section on self-unaligned agents btw. Curious what comes out of your centre.