Equilibrium
Carlos Alós-Ferrer and
Klaus Ritzberger
Chapter 7 in The Theory of Extensive Form Games, 2016, pp 163-222 from Springer
Abstract:
Abstract This chapter takes advantage of the findings in previous chapters and tackles a first problem in solution theory: Given a discrete game tree, what are the properties of a topology on the set of plays which guarantee that every perfect information game defined on this tree has a subgame perfect equilibrium, as long as the players’ preferences are continuous and decision points are suitably assigned? The main result of this chapter is a characterization: In such a (compact and perfectly normal) topology all nodes must be closed and the immediate predecessor function must map open sets to open sets. The necessity part of this characterization holds without compactness, the sufficiency part with a weaker separation axiom. Hence, ultimately the approach of this manuscript leads to the most general existence theorem for perfect information games.
Keywords: Nash Equilibrium; Perfect Information; Subgame Perfect Equilibrium; Game Tree; Close Node (search for similar items in EconPapers)
Date: 2016
References: Add references at CitEc
Citations:
There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.
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:spr:spschp:978-3-662-49944-3_7
Ordering information: This item can be ordered from
http://www.springer.com/9783662499443
DOI: 10.1007/978-3-662-49944-3_7
Access Statistics for this chapter
More chapters in Springer Series in Game Theory from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().