I live in Phoenix AZ. Which will be more expensive in the long run, an Induction or propane gas cooktop? 
Some approximate figures  Energy efficiency while cooking   Induction 90% Electric resistive 55% Gas 50%   Energy efficiency while heating up   Induction 99% Electric resistive 0% Gas 0%   Time, total energy used, and cost to boil 2 l of Water   Induction 2:20, 0.2 kWh, $0.034 Electric resistive 5:00, 0.34 kWh, $0.058 Gas 4:00, 0.37 kWh, $0.016   Assumptions  Gas burner is clean and correctly adjusted  Costs are estimates based on USA high prices as of 2013  In many other countries gas will be much more expensive  Bottled gas will be nearly twice the gas price from town supply gas 