Stochastic games: Recent results

Nicolas Vieille ()

Chapter 48 in Handbook of Game Theory with Economic Applications, 2002, vol. 3, pp 1833-1850 from Elsevier

Abstract: This chapter presents developments in the theory of stochastic games that have taken place in recent years. It complements the contribution by Mertens. Major emphasis is put on stochastic games with finite state and action sets. In the zero-sum case, a classical result of Mertens and Neyman states that given [epsilon] > 0, each player has a strategy that is [epsilon]-optimal for all discount factors close to zero. Extensions to non-zero-sum games are dealt with here. In particular, the proof of existence of uniform equilibrium payoffs for two-player games is discussed, as well as the results available for more-than-two-player games. Important open problems related to N-player games are introduced by means of a class of simple stochastic games, called quitting, or stopping, games. Finally, recent results on zero-sum games with imperfect monitoring and on zero-sum games with incomplete information are surveyed.

JEL-codes: C (search for similar items in EconPapers)
Date: 2002
References: Add references at CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://www.sciencedirect.com/science/article/B7P5P ... 3fb1599845172ff8a614
Full text for ScienceDirect subscribers only

Related works:
Working Paper: Stochastic Games: recent results (2002)
Working Paper: Stochastic games: recent results (2001)
Working Paper: Stochastic Games: recent results (2001)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:gamchp:3-48

Access Statistics for this chapter

More chapters in Handbook of Game Theory with Economic Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().