Working Paper, Brown University, Department of Economics 2001-30
We propose positive and normative foundations for the average prekernel of NTU games, and compare them with the existing ones for the prekernel. In our non-cooperative analysis, the average prekernel is understood as the equilibrium payoffs of a game where each player faces the possibility of bargaining at random against any other player. In the kooperative analysis, we characterize the average prekernel as the unique solution that satisfies a set of Nash-like axioms for two-person games, and versions of average consistency and its converse for multilateral settings.
average prekernel prekernel Nash set Nash program bargaining consistency average consistency