Bertrand Crettez, ‘The Coase Theorem, the Nonempty Core, and the Legal Neutrality Principle’

ABSTRACT
The Coase theorem states that where there are externalities and no transaction costs resource allocation is Pareto-optimal and independent of the stakeholders’ legal position. This result has been challenged many times. In the cooperative game approach to resource allocation, the refutation is made by constructing a three-person game which has an empty core under one set of liability rules—which implies that optimal allocations are coalitionally unstable – and a nonempty core under another set. In this example, however, the probability that the core is non-empty is rather high (5/6). Yet, even if coalitionally stable Pareto-optimal arrangements are likely, to establish the plain validity of the Coase theorem it must be shown that the legal neutrality statement also holds. We show that for the three-person cooperative game example mentioned above, the probability that the two assertions of the Coase theorem hold can be as low as 3/8.

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Bertrand Crettez, The Coase Theorem, the Nonempty Core, and the Legal Neutrality Principle, Review of Law and Economics. Published Online: 2019-10-17. DOI: https://doi.org/10.1515/rle-2018-0027.

First posted 2019-10-18 06:38:45

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