An integral transformation approach to differential games: a climate model application
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929657392136192 |
|---|---|
| author | Boucekkine, Raouf Fabbri, Giorgio Federico, Salvatore Gozzi, Fausto Loch-Temzelides, Ted Ricci, Cristiano |
| author_facet | Boucekkine, Raouf Fabbri, Giorgio Federico, Salvatore Gozzi, Fausto Loch-Temzelides, Ted Ricci, Cristiano |
| contents | We develop an Integral Transformation Method (ITM) for the study of suitable optimal control and differential game models. This allows for a solution to such dynamic problems to be found through solving a family of optimization problems parametrized by time. The method is quite flexible, and it can be used in several economic applications where the state equation and the objective functional are linear in a state variable. We illustrate the ITM in the context of a two-country integrated assessment climate model. We characterize emissions, consumption, transfers, and welfare by computing the Nash equilibria of the associated dynamic game. We then compare them to efficiency benchmarks. Further, we apply the ITM in a robust control setup, where we investigate how (deep) uncertainty affects climate outcomes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_01749 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An integral transformation approach to differential games: a climate model application Boucekkine, Raouf Fabbri, Giorgio Federico, Salvatore Gozzi, Fausto Loch-Temzelides, Ted Ricci, Cristiano Theoretical Economics Optimization and Control We develop an Integral Transformation Method (ITM) for the study of suitable optimal control and differential game models. This allows for a solution to such dynamic problems to be found through solving a family of optimization problems parametrized by time. The method is quite flexible, and it can be used in several economic applications where the state equation and the objective functional are linear in a state variable. We illustrate the ITM in the context of a two-country integrated assessment climate model. We characterize emissions, consumption, transfers, and welfare by computing the Nash equilibria of the associated dynamic game. We then compare them to efficiency benchmarks. Further, we apply the ITM in a robust control setup, where we investigate how (deep) uncertainty affects climate outcomes. |
| title | An integral transformation approach to differential games: a climate model application |
| topic | Theoretical Economics Optimization and Control |
| url | https://arxiv.org/abs/2501.01749 |