On the Relation Between Perfect Equilibria in Extensive Form Games and Proper Equilibria in Normal Form Games
This paper examines the question of the extent to which it is true that any equilibrium that is quasi-perfect in any extensive form game having a given normal form is necessarily proper. If one fixes not only the equilibrium in question but also a a sequence of completely mixed strategies converging to that equilibrium then indeed the notions are equivalent. However the stronger result is not true. An example of a normal form game is given in which there is an equilibrium that is quasi-perfect in any extensive form game having a given normal form but not proper.
|Date of creation:||14 May 1996|
|Date of revision:||14 May 1996|
|Note:||Type of Document - AMSLaTeX2e; prepared on IBM PC - emTeX; to print on PostScript; pages: 1 + 9 ; figures: included|
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References listed on IDEAS
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- Mailath, G.J. & Samuelson, L., 1996.
"How Proper Is Sequential Equilibrium?,"
9611r, Wisconsin Madison - Social Systems.
- George J. Mailath, 1996. "How Proper is Sequential Equilibrium?," Discussion Papers 1161, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- George J. Mailath & Larry Samuelson & Jeroen M. Swinkels, . "How Proper is Sequential Equilibrium," ELSE working papers 045, ESRC Centre on Economics Learning and Social Evolution.
- Kohlberg, Elon & Mertens, Jean-Francois, 1986.
"On the Strategic Stability of Equilibria,"
Econometric Society, vol. 54(5), pages 1003-37, September.
- David Kreps & Robert Wilson, 1998.
Levine's Working Paper Archive
237, David K. Levine.
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