Apr 6, 2018 - 12:38 AM
in reply to chandni177
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You are pretty much on the right track.
You can use the Swiss Train Timetable (www.myswissalps.com/ti metable) to work out the fares for any trip. When you go to buy a ticket the fare you see on the right hand side of the page will normally be the half-fare price. It will say so if it is.
Note that for the ferries you need to go into advanced search and de-select all forms of transport apart from Ship.
You should actually be able to buy a single round trip ticket putting in all the via places for the entire route you want to follow.
For the Arth-Goldau route you need Rigi Kulm (that's the top of the mountain) to Luzern via Arth-Goldhau.
The attached map is for a trip Luzern Bahnhofquai, Vitznau, Rigi Kulm, Arth-Goldau, Luzern. Half-fare price is CHF56.10.
I don't know what the Early Bird Day Ticket is ( at my age I tend to avoid anything which implies getting up early) and I don't know if you can use the Visitor's Card discount on top of the Swiss Half Fare Card discount. Probably not.