Groupe d’études et de recherche en analyse des décisions

G-2012-36

Quantity-Quality Management of a Groundwater Resource by a Water Agency

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We consider a problem of groundwater management in which a group of farmers overexploits a groundwater stock and causes excessive pollution. A Water Agency wishes to regulate the farmer's activity, in order to reach a minimum quantity and quality level but she is subject to a budget constraint and cannot credibly commit to time-dependent optimal policies. We construct a Stackelberg game to determine a set of constant policies that brings the groundwater resource back to the desired state. We define a set of conditions for which constant policies exist and compute the amount of these instruments in an example.

, 25 pages