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Bilevel optimization for the regulation of shared resources under uncertainty

Sep 2026 · Decision Making and Analysis · 0 citations

Abstract

We study normal-form noncooperative games corresponding to Common-Pool Resource (CPR) situations. A social planner aims to regulate the use of the resource and acts as a leader in a two-stage game. The followers are non-cooperative players who choose a Nash equilibrium representing optimal extraction levels. Due to uncertainty about the state of the resource, in this article we consider the possibility that production, which depends on the aggregation of strategies, is a set-valued mapping. We examine appropriate selections of this mapping and analyze the corresponding two-stage games where a social planner regulates the use of the resource and act as a leader. We prove the existence of a Stackelberg-Nash equilibrium and discuss its properties.  

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