Old movie with big hotel and rich people

[wositelec]

Probably late 70s / 80s to 1990. The plot such a bit in the convention of Poirot or "Killed to Death." Several strangers are invited to some sort of party on the top floor of a massive hotel. A typical American apartment for the rich people (like from the TV series "Dynasty."). Naturally, the host does not show up, and as it turns out the apartment becomes a trap. The heroes by means of deduction come to an explanation of the situation, what connects them to the mysterious host. I remember that they watched some video on VHS video cassette, which gave them some suspicions. One of the main characters was played, I think, by a mustachioed man typical of the for the 80's (Reynolds, Selleck type), probably.

Any interesting idea?