I’m not sure if this increases or decreases your EV, however
I’m pretty sure it must decrease it. Clearly best possible for our strategy would be for no-one else at all to buy a ticket, then we win 50% of the $42,000,000 we spend on tickets, plus whatever got rolled over from last week. Every time anyone else buys a ticket, they buy a tiny share of whatever was rolled over (in expectation), thus reducing our EV.
I’m pretty sure it must decrease it. Clearly best possible for our strategy would be for no-one else at all to buy a ticket, then we win 50% of the $42,000,000 we spend on tickets, plus whatever got rolled over from last week. Every time anyone else buys a ticket, they buy a tiny share of whatever was rolled over (in expectation), thus reducing our EV.