nikhil.io

twenty-seven things tagged “math

A Vickrey Auction

When you end up paying the price you bid (“first price”), you have a strong incentive to lie about how much you’re willing to pay. Suppose there’s an item for sale that you’d be happy paying up to $1,000 for if necessary, but of course you’d rather pay less. In a first-price auction, if you bid $1,…

Numbering from Zero

Dijkstra on why numbering should start from zero. Numbering is done with natural numbers. Let’s take zero to be the smallest natural number1. For the sequence (2, 3, 4, … ,12), using the convention (2 ≤ n < 13) is appropriate because For a sequence starting with zero, like (0, 1, 2, 3), the left…