 This brings us to  Stirling’s (2012)  extension of game theory to cover such conditional interactions. Stirling’s aim is to formalize, and derive equilibrium conditions for, a notion of group preference that is, on the one hand, not a mere aggregation of individual preferences but also does not, on the other hand, simply assume the existence of a transcendent collective will that is imposed on individuals. The intuitive target Stirling has in mind is that of processes by which people derive their actual preferences partly on the basis of the comparative consequences for group welfare of different possible profiles of preferences that members could severally hypothetically reveal. A key constraint Stirling respects is that the theory’s solution concepts (i.e., its equilibria) must formally generalize the standard solution concepts (NE, SPE, QRE), not replace them. Conditional game theory is supposed to be ‘real’ game theory, not ‘pseudo’ game theory.