On Pareto equilibria in vector-valued extensive form games

Thomas Krieger ()

Mathematical Methods of Operations Research, 2003, vol. 58, issue 3, 449-458

Abstract: In this paper we investigate the existence of Pareto equilibria in vector-valued extensive form games. In particular we show that every vector-valued extensive form game with perfect information has at least one subgame perfect Pareto equilibrium in pure strategies. If one tries to prove this and develop a vector-valued backward induction procedure in analogy to the real-valued one, one sees that different effects may occur which thus have to be taken into account: First, suppose the deciding player at a nonterminal node makes a choice such that the equilibrium payoff vector of the subgame he would enter is undominated under the equilibrium payoff vectors of the other subgames he might enter. Then this choice need not to lead to a Pareto equilibrium. Second, suppose at a nonterminal node a chance move may arise. The combination of the Pareto equilibria of the subgames to give a strategy combination of the entire game need not be a Pareto equilibrium of the entire game. Copyright Springer-Verlag 2003

Keywords: Vector-valued extensive form games; Multicriteria games; Pareto equilibria; Scalarization method; Subgame perfectness (search for similar items in EconPapers)
Date: 2003
References: Add references at CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://hdl.handle.net/10.1007/s001860300305 (text/html)
Access to full text is restricted to subscribers.

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:mathme:v:58:y:2003:i:3:p:449-458

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/00186

DOI: 10.1007/s001860300305

Access Statistics for this article

Mathematical Methods of Operations Research is currently edited by Oliver Stein

More articles in Mathematical Methods of Operations Research from Springer, Gesellschaft für Operations Research (GOR), Nederlands Genootschap voor Besliskunde (NGB)
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().