This paper studies the impacts of regional breakdowns or model dimensionality on the model's optimal solutions. Using the United States (USA) and China (CHN) as the experimental subject, we test the various solutions related to USA and CHN, such as the Cournot-Nash equilibrium and the Lindahl equilibrium, in the RICE2020 model under three regional breakdowns. Their solutions' invariance and variances across different model dimensionalities indicate that modeling dimensionality may play a role in the strategic interactions among the regions in GHG mitigation. The simulation results also point out the pitfalls of the model comparisons across IAMs for climate change.
Keywords: IAM for climate change; Model comparison; Modeling methodologies; The Cournot-Nash equilibrium; The Lindahl equilibrium.
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