Stable provision vs. Cournot-nash equilibria in pure public good economies

Shitovitz and Spiegel (1998, Journal of Economic Theory 83, pp. 1-18) demonstrated that in pure public good economies, for some consumers the Lindahl consumption bundles can be inferior (utilitywise) to their Cournot-Nash allocation. In this paper, we prove that in any finite pure public good economy there exists a core allocation that is unanimously preferred, utility-wise, by all consumers over their Cournot-Nash consumption bundles.