EconPapers    
Economics at your fingertips  
 

On the Existence of Markov Perfect Equilibria in Perfect Information Games

Hannu Salonen and Hannu Vartiainen ()
Additional contact information
Hannu Salonen: Department of Economics and PCRC, University of Turku, 20014 Turku, Finland

No 68, Discussion Papers from Aboa Centre for Economics

Abstract: We study the existence of pure strategy Markov perfect equilibria in two-person perfect information games. There is a state space X and each period player's possible actions are a subset of X. This set of feasible actions depends on the current state, which is determined by the choice of the other player in the previous period. We assume that X is a compact Hausdorff space and that the action correspondence has an acyclic and asymmetric graph. For some states there may be no feasible actions and then the game ends. Payoffs are either discounted sums of utilities of the states visited, or the utility of the state where the game ends. We give sufficient conditions for the existence of equilibrium e.g. in case when either feasible action sets are finite or when players' payoffs are continuously dependent on each other. The latter class of games includes zero-sum games and pure coordination games.

Keywords: dynamic games; Markov perfect equilibrium (search for similar items in EconPapers)
JEL-codes: C72 C73 (search for similar items in EconPapers)
Pages: 22
Date: 2011-10
New Economics Papers: this item is included in nep-gth, nep-hpe and nep-mic
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.ace-economics.fi/kuvat/dp68.pdf (application/pdf)

Related works:
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:tkk:dpaper:dp68

Access Statistics for this paper

More papers in Discussion Papers from Aboa Centre for Economics Contact information at EDIRC.
Bibliographic data for series maintained by Susmita Baulia ().

 
Page updated 2025-03-24
Handle: RePEc:tkk:dpaper:dp68