DropShop - Drops Democratized
  • Welcome
  • Background - Limited Release Product Drops
    • History
    • The Problem
    • Solution Attributes
  • DropShop Lottery
    • Overview
    • Users
      • Sponsors
      • Participants
    • Lottery Process
      • Lottery Creation
      • Tickets, the Pool, and the Ticket Weight Factor
      • The Purse, Sponsor Take and Residual
      • Lottery Outcomes
  • Platform Information
    • Platform Economics
    • Additional and Future Features
      • Secondary Marketplace
      • Generalized User-to-User Transactions
      • dApp to DAO
    • Logic
      • Distribution Score Function
      • Ticket Weight Factor Function
      • Selection Function
    • Team
  • Also...
    • Glossary
    • References
    • Acknowledgements
    • Github
    • Whitepaper
    • Images
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  2. Logic

Ticket Weight Factor Function

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Last updated 3 years ago

Ticket weights are dependent upon Price Premium and Sponsor Tokens applied to a ticket, as .

It is the Sponsor that determines the TWF function parameters for each lottery. One may value tokens more, other's price premium - note though that the overall weight is a combination of both. The prototype of the function is a polynomial of form:

TWF=(stakeprice)m×(tokens+1)nTWF = (\frac{stake}{price})^m \times (tokens+1)^nTWF=(pricestake​)m×(tokens+1)n

The following graphs are the results of simulations of the case n=1 and m=2,3,4. The winners are red dots and the size of the dot represents the ticket weight.

previously mentioned
Selection Function
Winners from a Set {P} of participants with randomized Price Premium (x-axis) vs. Sponsor Tokens applied (y-axis) for m = 1 and n = 2.
Winners from a Set {P} of participants with randomized Price Premium (x-axis) vs. Sponsor Tokens applied (y-axis) for m = 1 and n = 3.
Winners from a Set {P} of participants with randomized Price Premium (x-axis) vs. Sponsor Tokens applied (y-axis) for m = 1 and n = 4.