There are two distinct 'Scandinavian consensus' approaches to public good supply, both based on agents' willingness to pay. A Wicksell-Foley public competitive equilibrium arises from a negative consensus in which no change of public environment, together with associated taxes and subsidies which finance it, will be unanimously approved. Alternatively, in a Lindahl or valuation equilibrium, charges for the public environment induce a positive consensus. To allow general nonconvexities to be regarded as aspects of the public environment, the authors extend recent generalizations of these equilibrium notions and prove counterparts to both the usual fundamental efficiency theorems of welfare economics. Copyright 1998 by The editors of the Scandinavian Journal of Economics.