An infinite-horizon mean field game of growth and capital accumulation: A markov chain approximation numerical scheme and its challenges

Chee Kian Leong

doi:10.1007/978-3-030-39789-0_8

An infinite-horizon mean field game of growth and capital accumulation: A markov chain approximation numerical scheme and its challenges

Chee Kian Leong^*

^*Corresponding author for this work

Research output: Chapter in Book/Conference proceeding › Book Chapter › peer-review

Abstract

In this paper, we characterize an infinite-horizon mean field game of growth and capital accumulation. We present a Markov chain approximation scheme (Kushner, Numerical methods for non-zero-sum stochastic differential games: convergence of the Markov chain approximation method. In: Chow PL, Yin G, Mordukhovich B (eds) Topics in stochastic analysis and nonparametric estimation. The IMA volumes in mathematics and its applications, vol 145. Springer, New York, 2008, pp 51–84) as potentially useful for obtain the numerical (Formula Presented)-Nash equilibrium solution to the infinite-horizon mean field system of equations and highlight some of the key challenges in implementing the scheme.

Original language	English
Title of host publication	Annals of the International Society of Dynamic Games
Publisher	Birkhauser
Pages	229-238
Number of pages	10
DOIs	https://doi.org/10.1007/978-3-030-39789-0_8
Publication status	Published - 2020

Publication series

Name	Annals of the International Society of Dynamic Games
Volume	16
ISSN (Print)	2474-0179
ISSN (Electronic)	2474-0187

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 8 Decent Work and Economic Growth

Free Keywords

(Formula Presented)-Nash equilibrium
Markov-chain approximation
Mean field games

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty
Applied Mathematics

Access to Document

10.1007/978-3-030-39789-0_8

Cite this

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abstract = "In this paper, we characterize an infinite-horizon mean field game of growth and capital accumulation. We present a Markov chain approximation scheme (Kushner, Numerical methods for non-zero-sum stochastic differential games: convergence of the Markov chain approximation method. In: Chow PL, Yin G, Mordukhovich B (eds) Topics in stochastic analysis and nonparametric estimation. The IMA volumes in mathematics and its applications, vol 145. Springer, New York, 2008, pp 51–84) as potentially useful for obtain the numerical (Formula Presented)-Nash equilibrium solution to the infinite-horizon mean field system of equations and highlight some of the key challenges in implementing the scheme.",

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An infinite-horizon mean field game of growth and capital accumulation: A markov chain approximation numerical scheme and its challenges. / Leong, Chee Kian.
Annals of the International Society of Dynamic Games. Birkhauser, 2020. p. 229-238 (Annals of the International Society of Dynamic Games; Vol. 16).

Research output: Chapter in Book/Conference proceeding › Book Chapter › peer-review

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An infinite-horizon mean field game of growth and capital accumulation: A markov chain approximation numerical scheme and its challenges

Abstract

Publication series

UN SDGs

Free Keywords

ASJC Scopus subject areas

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