An Update on Continuous-Time Stochastic Games of Fixed Duration-Reference-Cited by-同舟云学术

An Update on Continuous-Time Stochastic Games of Fixed Duration

Published:2020-07-22 Issue:2 Volume:11 Page:418-432
ISSN:2153-0785
Container-title:Dynamic Games and Applications
language:en
Short-container-title:Dyn Games Appl

Author:

Levy Yehuda John

Abstract

AbstractThis paper shows that continuous-time stochastic games of fixed duration need not possess equilibria in Markov strategies. The example requires payoffs and transitions to depend on time in a continuous but irregular (almost nowhere almost differentiable) way. This example offers a correction to the erroneous construction presented previously in Levy (Dyn Games Appl 3(2):279–312, 2013. 10.1007/s13235-012-0067-2).

Funder

University of Glasgow

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computational Theory and Mathematics,Computer Graphics and Computer-Aided Design,Computer Science Applications,Statistics and Probability,Economics and Econometrics

Link

https://link.springer.com/content/pdf/10.1007/s13235-020-00361-0.pdf

Reference9 articles.

1. Berman SM (1970) Gaussian processes with stationary increments: local times and sample function properties. Ann Math Stat 41:1173–1396

2. Federer H (1969) Geometric measure theory. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, Springer, Berlin

3. Jarník V (1934) Sur la dérivabilité des fonctions continues. Publications de la Faculty des Sciences de L’Université Charles 129:9

4. Levy Y (2013) Discounted stochastic games with no stationary Nash equilibrium: two examples. Econometrica 81(5):1973–2007

5. Levy Y (2013) Continuous-time stochastic games of fixed duration. Dyn Games Appl 3(2):279–312. https://doi.org/10.1007/s13235-012-0067-2