Hi BJ
I'm sorry but I disagree with you, the thickness of the wire to be used depends solely on the Amperes that it has to carry.
Please have a look at this site, Its the "American wire gauge", roll down and you will see a table, you will see that the voltage is not mentioned at all. the only thing that changes with 230V is the wire insulation that have to be better than the 110V.
http://en.wikipedia.org/wiki/American_wire_gauge
In a sense, Electricity, Hydraulic, Pneumatics etc. are Energy and behave the same.
The Voltage is the electric "Pressure" and the Ampere is the electric "Flow"
Please let me give you an example;
You have a water pressure source that can give a pressure of 30 PSI.
Now, take a hose with face area of 1²" and check how many Gallons per minute (GPM) this hose can transfer, lets say that it was 5 Gallons. Now, change the hose to 2²" area and measure again, you will see that much more GPM...actually double, with the same 30 PSI.
It's the same with electricity, If you have a "110V of Pressure" and you have to operate a machine that requires "5A of flow" you need small area of " Wire or Hose".
But if you want to operate a machine that requires "15A of flow", you shall need bigger area "Wire or Hose".
If you increase the "Voltage=Pressure" to "220V= PSI" you shall need half of the "Ampere or flow" to get the same level of work (HP) from the machine.
As Joe said, for the kitchen you use 220V, 40A and AWG 6 or 8, not because of the 220V but, because of the 40A. You could use 110V for the electric stove but, it will require 80A to give you the same "work" and if you supply 440V, you would need only 20A to get the same "Work" from the stove.
I'm sorry but even in USA the "Electric Bill" is calculated as per Kilowatt/hour.
Copy/Past from the website:
"Electricity bills, however, are frequent and unavoidable. The dollar amount charged each month is a function of the price per kilowatthour (kWh) and the amount of kilowatthours consumed; other add-ons to your bill include State and local taxes and costs for maintaining reliability."
http://www.eia.doe.gov/neic/brochure/electricity/electricity.html
Respectfully
niki