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A STEADY-STATE SATISFACTORY SOLUTION TO AN ENVIRONMENTAL GAME WITH PIECE-WISE DEFINED PAYOFFS
Authors:Jacek B. Krawczyk  Odile Pourtallier  Mabel Tidball
Abstract:We model a pollution accumulation process through a nonlinear, nondifferentiable state equation and also as dependent on an environmental levy. Then the payoff function to an economic agent is defined piece-wise. However, for a simple demand and cost structure, the combined payoff function of all agents is diagonally strictly concave. This implies that a steady-state Nash equilibrium is unique and can be controlled by the levy. We analytically compute a steady-state Nash equilibrium solution for the agents, and use a Decision Support Tool to determine a satisfactory solution for the interactions between the agents and a legislator responsible for the levy.
Keywords:Nash equilibrium  steady state  diagonal strict concavity  Decision Support Tool
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