Of course it does. it's a monthly ticket valid from first of the month until end of the month.
And even for the tickets without a date Why should the passenger be penalised when there are no working stamping machines in the train station? how is that the passenger problem?
Dunno about France (OP gave no indication he was talking about a period ticket), but in the UK monthly tickets last a month from the time they begin (which is printed on the ticket at time of purchase). Most train tickets I've bought on the continent are undated - if you don't composte them then you could use them time and time again, which would be theft of service.
In the UK we have carnets which must be dated (albeit with a pen rather than a machine) before boarding the train. They give very little discount and users are often accused of fraud.
> Why should the passenger be penalised when there are no working stamping machines in the train station? how is that the passenger problem?
It's the passengers problem as they presumably can't board the train without a valid ticket. I'm not sure how competition or changing ownership would help, what you need are strong laws making the train company liable if it's not there.
Again in the UK we have "penalty fares", which are on the spot "fines" for "honest mistakes". Sadly the same doesn't apply to train companies, when they deny boarding despite a valid ticket, or you get threatened with legal action despite a valid ticket, you have to fight it, but they don't get fined.
> I'm not sure how competition or changing ownership would help
Competition always helps. It would be as simple as putting a stamping machine inside the train like they do on the buses.
I mean it doesn't cost anything and the only reason it is not being done is the same reason machines in stations do not work. The train company has a monopoly and they don't care to try offering a decent service.