Title
Limit Value of Dynamic Zero-Sum Games with Vanishing Stage Duration
Abstract
AbstractWe consider two-person zero-sum games where the players control, at discrete times { t n} induced by a partition Îï of ℝ+, a continuous time Markov process. We prove that the limit of the values Ïï Îï exist as the mesh of Îï goes to 0. The analysis covers the cases of 1 stochastic games where both players know the state, and 2 games with unknown state and symmetric signals.The proof is by reduction to deterministic differential games.
Year
DOI
Venue
2018
10.1287/moor.2017.0851
Periodicals
Keywords
Field
DocType
dynamic games,zero sum,limit value,vanishing stage duration
Discrete mathematics,Combinatorics,Mathematical optimization,Markov chain,Differential game,Zero-sum game,Partition (number theory),Mathematics
Journal
Volume
Issue
ISSN
43
1
0364-765X
Citations 
PageRank 
References 
1
0.37
10
Authors
1
Name
Order
Citations
PageRank
Sylvain Sorin130049.48