Lexicographic domination in extensive games

We extend a notion of a lexicographic domination between strategies, introduced for normal form games in Okada (1988), to extensive games via the transformation from the extensive form to the agent normal form. It is shown that lexicographically undominatedness implies subgame perfection of an equilibrium point in extensive games with perfect recall.I am grateful to an anonymous referee for very helpful comments and suggestions. A preliminary draft of this paper was written while I was visiting the MEDS Department of Northwestern University in 1986–87. The warm hospitality of that department is gratefully acknowledged.