Pavel Naumov and Italo Simonelli
The interchangeability property of Nash equilibria in two-player zero- sum games is well-known. This paper studies possible generalizations of this property to multi-player zero-sum games. A form of interchangeability property for strict Nash equilibria in such games is established. It is also shown, by proving a completeness theorem, that strict Nash equilibria do not satisfy any other non-trivial properties. [pdf]