When is the Standard Analysis of Common Property Extraction under Free Access Correct? A Game‐Theoretic justification for Non‐Game‐Theoretic Analyses

Analyses of common property extraction under free access follow two distinct paths, traditional and game‐theoretic, giving rise to two standard methodologies. One methodology avoids game‐theoretic analysis by assuming that aggregate extraction in each period induces fel rent dissipation. The second methodology solves for the Marko‐perfect equilibrium of an n‐player extraction game investigating aggregate behavior over time as n → ∞. We show by example that these coexisting standard methodologies can yield conflicting predictions. We then provide conditions, relatively easy to satisfy, sufficient for the two approaches to yield the same predictions.

[1]  Donald H. Negri “STRAGEDY” OF THE COMMONS , 1990 .

[2]  D. Gale On Optimal Development in a Multi-Sector Economy , 1967 .

[3]  Leonard J. Mirman,et al.  The great fish war: an example using a dynamic Cournot-Nash solution , 2020, Fisheries Economics.

[4]  Stephen W. Salant,et al.  Pastures of Plenty: When is the Standard Analysis of Common Property Extraction Under Free Access Incorrect? , 1987 .

[5]  Leonard J. Mirman,et al.  Dynamic Programming Models of Fishing: Competition , 1981 .

[6]  John M. Hartwick,et al.  The economics of natural resource use , 1986 .

[7]  P. Dasgupta,et al.  Economic Theory and Exhaustible Resources. , 1980 .

[8]  H. Gordon,et al.  The economic theory of a common-property resource: The fishery , 1954, Journal of Political Economy.

[9]  Louis Hotte Natural-Resource Exploitation with Costly Enforcement of Property Rights , 2002 .

[10]  Tracy R. Lewis,et al.  Exhaustible resources and alternative equilibrium concepts , 1985 .

[11]  Jennifer F. Reinganum,et al.  Oligopoly Extraction of a Common Property Natural Resource: The Importance of the Period of Commitment in Dynamic Games , 1985 .

[12]  S. Holland,et al.  CADILLAC DESERT REVISITED: PROPERTY RIGHTS, PUBLIC POLICY, AND WATER-RESOURCE DEPLETION IN THE AMERICAN WEST , 2003 .

[13]  S. Rosen Dynamic Animal Economics , 1987 .

[14]  Nancy L. Stokey,et al.  The Period of Commitment in Dynamic Games , 1981 .

[15]  H Scottgordon The economic theory of a common-property resource: The fishery , 1991 .