Follow the money. There is no opt out in your system. It would be break even on average and thus materially change nothing.
It would just be like a government taxing everyone and then randomly giving it away proportional to how much you've been taxed.
You exclude an entire class of uses who are practical and would never play the lottery but may own shares in a lottery.
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I agree with exactly what you said - 'break even on average...like government taxing everyone and randomly giving it away based on how much you've been taxed' I think that's brilliant!
That's the whole point of gambling. Never mind Break Even, People are willing to lose a lot of EV to play lotteries and casino games for the random chance to win!
My suggestion creates a frictionless lottery! (Nothing lost to shareholders, charities or operating expenses!)
Best of all there's nothing to justify charity wise like a normal lottery, because it's just re-distributed inflation.
In a normal lottery it's less than break even, the coins you've bought (lottery tickets) are being randomly given away, minus 50% in fees! So the whole company is bankrupt and a new alt-coin (lottery) starts again the following week.
Maybe it's easier to see if I calibrate an example of my POS exactly to a current lottery.
My POS guarantees the exact same payouts as the current big lottery, the disadvantage is that in mine your can't choose your numbers as the coins have a value pre-assigned, the advantage is mine is frictionless.
$100 million goes into the normal lottery this week
$100 million goes into my lottery this week
In the normal lottery $50 million is randomly awarded in prizes & $50 million is lost on various running expenses. So in a normal lottery you either won a prize or lost your money.
In my lottery $50 million is randomly awarded in prizes & $50 million is left over because it's frictionless. So in my lottery you had the same odds of winning exactly the same prizes for exactly the same cost, except if you lose your ticket is still worth 1/2 it's purchase price! (Which you can sell or keep for next weeks draw.)
Can you see how after a few weeks my lotteries jackpots would get bigger & bigger? And my losing lottery investments would be worth more and more each week too. It's the same as the current model, it's just frictionless.
The calibration can be tweaked but I simply tried to calibrate it closer to Bitcoin inflation, because at that level with fairly little new demand your coins or in this case frictionless lottery tickets should retain or increase in value while still offering exciting prizes.
Edit: My calibration was also designed for exactly the people you think it might exclude, people who want to own shares in a lottery, because the lower the % weekly payout the more of your ticket value your coin will retain, and the more people that are attracted to a POS frictionless lottery with a low % weekly payout the more valuable the alt-coin and your investment will become. Obviously the art would be finding that level that is exciting to gamblers and attractive to investors too. (Even though gamblers will inadvertently be investors and vice versa)
I hope I can sway you on this one.