Dependent Types for Extensive Games - ENS de Lyon - École normale supérieure de Lyon Access content directly
Preprints, Working Papers, ... Year : 2016

Dependent Types for Extensive Games

Abstract

Extensive games are tools largely used in economics to describe decision processes of a community of agents. In this paper we propose a formal presentation based on the proof assistant COQ which focuses mostly on infinite extensive games and their characteristics. COQ proposes a feature called ``dependent types'', which means that the type of an object may depend on the type of its components. For instance, the set of choices or the set of utilities of an agent may depend on the agent herself. Using dependent types, we describe formally a very general class of games and strategy profiles, which corresponds somewhat to what game theorists are used to. We also discuss the notions of infiniteness in game theory and how this can be precisely described.
Fichier principal
Vignette du fichier
dependentTypesForGames.pdf (822.07 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

ensl-01391418 , version 1 (16-11-2016)
ensl-01391418 , version 2 (30-01-2017)
ensl-01391418 , version 3 (05-12-2017)

Identifiers

Cite

Pierre Lescanne. Dependent Types for Extensive Games. 2016. ⟨ensl-01391418v3⟩
460 View
358 Download

Altmetric

Share

Gmail Facebook X LinkedIn More