On the Optimal Taxation of Common-Pool Resources

Recent research developments in common-pool resource models emphasize the importance of links with ecological systems and the presence of non-linearities, thresholds and multiple steady states. In a recent paper Kossioris et al. (2008) develop a methodology for deriving feedback Nash equilibria for non-linear differential games and apply this methodology to a common-pool resource model of a lake where pollution corresponds to benefits and at the same time affects the ecosystem services. This paper studies the structure of optimal state- dependent taxes that steer the combined economic-ecological system towards the trajectory of optimal management, and provides an algorithm for calculating such taxes.Differential Games, non-linear Feedback Nash Equilibria, Ecosystems, Optimal State-dependent Tax

Cooperation in the Commons with Unobservable Actions

We model a dynamic common property resource game with unobservable actions and non-linear stock dependent costs. We propose a strategy profile that generates a worst perfect equilibrium in the punishment phase, thereby supporting cooperation under the widest set of conditions. We show under what set of parameter values for the discount rate, resource growth rate, harvest price, and the number of resource users, this strategy supports cooperation in the commons as a subgame perfect equilibrium. The strategy profile that we propose, which involves harsh punishment after a defection followed by forgiveness, is consistent with human behavior observed in experiments and common property resource case studies.Common property resource, cooperation, dynamic game, unobservable actions

A Dynamic Model of Conflict and Cooperation

We introduce a common-pool contest into a continuous-time, differential game setting to model the dynamic behavior of agents facing a trade-off between socially productive activities and appropriation. We are able to identify multiple Markov perfect equilibrium strategies that are nonlinear in a state space, thus leading the economy to a state where epartial cooperationf occurs. We show that such cooperation can be seen as a response to conflict. We also discuss the consequences of changes in the effectiveness of appropriation, the number of contenders, and the rate of time preferences on contest equilibria.Conflict, Cooperation, Differential Game, Markov Perfect Equilibrium, Nonlinear Markov strategy

COMMON-PROPERTY RESOURCE USE AND OUTSIDE OPTIONS: COOPERATION ACROSS GENERATIONS IN A DYNAMIC GAME

This paper presents a noncooperative dynamic game with overlapping generations of players using a common-property natural resource, and identifies conditions under which cooperation is supported as an equilibrium of the game. It explores how heterogeneity among the resource users and access to outside markets or microcredit affect local resource use in developing countries.Resource /Energy Economics and Policy,

Regulation and Evolution of Compliance in Common Pool Resources

The paper jointly models the evolution of compliance with regulation and the evolution of a CPR stock, by combining replicator dynamics describing compliance with harvesting rules, with resource stock dynamics. This evolutionary approach suggests that coexistence, in long run equilibrium, of both cooperative and non-cooperative rules under regulation is possible. Stock effects on profits and a certain structure of auditing probabilities could imply the emergence of a limit cycle in areas of low stock levels, as an equilibrium outcome for compliance and the biomass stock. It might be easier for the regulator to obtain full compliance under precommitment to fixed auditing probabilities.Common pool resources (CPR), harvesting, regulation, replicator dynamics, compliance

Cooperative game theory and its application to natural, environmental, and water resource issues : 2. application to natural and environmental resources

This paper provides a review of various applications of cooperative game theory (CGT) to issues of natural and environmental resources. With an increase in the level of competition over environmental and natural resources, the incidents of disputes have been at the center of allocation agreements. The paper reviews the cases of common pool resources such as fisheries and forests, and cases of environmental pollution such as acid rain, flow, and stock pollution. In addition to providing examples of cooperative solutions to allocation problems, the conclusion from this review suggests that cooperation over scarce environmental and natural resources is possible under a variety of physical conditions and institutional arrangements. CGT applications to international fishery disputes are especially useful in that they have been making headway in policy-related agreements among states and regions of the world. Forest applications are more local in nature, but of great relevance in solving disputes among communities and various levels of governments.Environmental Economics&Policies,Fisheries&Aquaculture,Common Property Resource Development,Economic Theory&Research,Ecosystems and Natural Habitats