Most By-Laws don't address this unless they are of recent vintage. I believe that if you want to conduct business via email, you need to have a motion to that effect at a Board meeting. If something is decided via email, it should be incorporated into the Minutes of the next Board meeting. This is a laywoman's advice - not a lawyer's.

Does your co op have a managing agent/lawyer? If yes, what does he/she have to say about this? Can't believe everyone is busy one day out of the month. Why did they join the board if they have such a busy life? What makes you think they all will be available for a conference call if they don't want to meet face to face for a couple of hours. I do hope your building isn't run like your board. Best of Luck and let us know what the out come is.

people's choice - I'm not sure if the OP is talking about monthly Board meetings and/or Annual Meetings. I agree with you that these Board members certainly sound like they don't want to put in the time needed for a Board and a co-op to be run successfully.

When he mentions elections, I assume that's for the Annual Meeting. Even if proxy voting is allowed, the AM is where the shareholders have the opportunity - and the right - to speak their mind about the way the co-op is being run by the Board.

It sounds like the co-op has trouble getting a quorum at the AM. No need to wonder why. With the attitude presented by the OP, I don't think I'd want to attend the AM either.