Dynamic equilibrium with randomly arriving players - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Dynamic Games and Applications Year : 2021

Dynamic equilibrium with randomly arriving players

Abstract

There are real strategic situations where nobody knows ex ante how many players there will be in the game at each step. Assuming that entry and exit could be modelled by random processes whose probability laws are common knowledge, we use dynamic programming and piecewise deterministic Markov decision processes to investigate such games. We study these games in discrete and continuous time for both finite and infinite horizon. While existence of dynamic equilibrium in discrete time is proved, our main aim is to develop algorithms. In the general nonlinear case, the equations provided are rather intricate. We develop more explicit algorithms for both discrete and continuous time linear quadratic problems.
Fichier principal
Vignette du fichier
BernhardDeschampsDGAAfinal+.pdf (227.71 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03266042 , version 1 (21-06-2021)

Identifiers

Cite

Pierre Bernhard, Marc Deschamps. Dynamic equilibrium with randomly arriving players. Dynamic Games and Applications, 2021, 11 (2), pp.242-269. ⟨10.1007/s13235-020-00354-z⟩. ⟨hal-03266042⟩
44 View
74 Download

Altmetric

Share

Gmail Facebook X LinkedIn More