Nearsighted, farsighted behaviors and learning. Application to a groundwater management problem

Comportements à court terme, à long terme et apprentissage. Application à un problème de gestion de nappe phréatique

Alain Jean-Marie (), Tania Jimenez () and Mabel Tidball ()
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Alain Jean-Marie: NEO - Network Engineering and Operations - CRISAM - Inria Sophia Antipolis - Méditerranée - Inria - Institut National de Recherche en Informatique et en Automatique
Tania Jimenez: LIA - Laboratoire Informatique d'Avignon - AU - Avignon Université - Centre d'Enseignement et de Recherche en Informatique - CERI
Mabel Tidball: CEE-M - Centre d'Economie de l'Environnement - Montpellier - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement - Institut Agro - Montpellier SupAgro - Institut Agro - Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement

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Abstract: We introduce the family of Conjectural Learning procedures, in which agents form conjectures about what the opponent will play, as a function of their action or some state variable. We prove general properties of these procedures, comparing them to two dynamic systems generated by nearsighted agents solving repeatedly a static game, either cooperatively, or noncooperatively. We then specify three simple functional forms of conjectures and analyze the five resulting dynamic systems, in terms of steady states and convergence conditions. We next further specify these procedures to the case of a game of groundwater management, using a quadratic functional form for the profit function of agents. We obtain then explicit expressions for steady states and convergence conditions for the dynamic systems. Finally, we conduct numerical experiments in order to assess the "performance" of pairs of agents adopting each of the five behaviors.

Keywords: Dynamic; Learning; Natural Resources Management; Game Theory; Théorie des Jeux; Dynamique; Apprentissage; Gestion de Ressources Naturelles (search for similar items in EconPapers)
Date: 2021-04-30
New Economics Papers: this item is included in nep-agr and nep-gth
Note: View the original document on HAL open archive server: https://inria.hal.science/hal-03213518v1
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Published in [Research Report] RR-9406, Inria. 2021, pp.46

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