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> When a lottery happens, there is always a winner, that's how they work.

It's possible this is a language and cultural thing, but most (possibly all?) state run lotteries in the United States don't work this way - they simply pick numbers from a pool at random and if no one has selected those exact numbers the prize pool rolls over to the next week. Powerball (afaik the largest US based lottery) works by selecting 5 numbers from a pool of 1-69, and one number from a pool of 1-26, if no one matches all six numbers then the primary prize pool carries into the next drawing. There's no guarantee anyone wins the jackpot on any given week, and often multiple weeks and sometimes months will pass with no winner, ballooning the jackpot further.

I'd more often refer to what you're saying as a "drawing" or a "sweepstakes" where tickets are sold and the winning ticket is selected from the pool of all tickets sold, but that's distinctly different to a "lottery" for me.