Strategic complementarities and nested potential games ∗ Hiroshi Uno

This paper shows that every finite game of weak strategic complementarities is a nested pseudo-potential game if the action set of one player is multi-dimensional and the action sets of the others are one-dimensional; the implication does not hold, however, if the action sets of more than two players are multi-dimensional. Moreover, the paper proposes a new class of games of nested strategic complementarities that generalize the games of strategic complementarities and the nested potential games. Journal of Economic Literature Classification Numbers: C72, C73