Grub with the partners of Sequoia Capital
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Re: Grub with the partners of Sequoia Capital
#12It's a great idea. However, unless I'm mistaken, I believe his auction mechanism is not any of the standard "revenue maximizing" OR "social utility maximizing" mechanisms. The "maximum amount you would pay for this meal" suggests the meal's value to you. However, for all K=# of seats, his Kth-price auction does not have the property that inputting your truthful value is your dominant strategy. The price should really…
(and you are not mistaken, unless I am mistaken)
Re: Grub with the partners of Sequoia Capital
#13It's a great idea. However, unless I'm mistaken, I believe his auction mechanism is not any of the standard "revenue maximizing" OR "social utility maximizing" mechanisms. The "maximum amount you would pay for this meal" suggests the meal's value to you. However, for all K=# of seats, his Kth-price auction does not have the property that inputting your truthful value is your dominant strategy. The price should really…
With 8 winners, they should be clearing at the 9th highest bid.
Of course you don't have to do it this way, but it's the least game-able outcome.
It's clear they had the second-price/Vickrey style in mind, and they came awfully close to getting it right.
Re: Grub with the partners of Sequoia Capital
#14Starving entrepreneurs outbidding each other to sit with two rich guys? It is just me or does this seem backwards?
Re: Grub with the partners of Sequoia Capital
#15Re: Grub with the partners of Sequoia Capital
#16I'd like to keep working on my own idea until they are bidding on having lunch with me.
Re: Grub with the partners of Sequoia Capital
#17Starving entrepreneurs outbidding each other to sit with two rich guys? It is just me or does this seem backwards?
Re: Grub with the partners of Sequoia Capital
#18It's a great idea. However, unless I'm mistaken, I believe his auction mechanism is not any of the standard "revenue maximizing" OR "social utility maximizing" mechanisms. The "maximum amount you would pay for this meal" suggests the meal's value to you. However, for all K=# of seats, his Kth-price auction does not have the property that inputting your truthful value is your dominant strategy. The price should really…
Note that in FPSB you also don't have an incentive to report your true value, but it is revenue maximizing and efficient in expectation assuming risk-neutral bidders [1].
The basic gist of the proof is that everyone has an incentive to shade their bids down in proportion to the probability that their bid sets the price. The amount you shade is monotone in your valuation, so you end up with the same relative ordering of bids.
And the punchline is that you get the same winner and the same expected revenue for the Vickrey vs. FPSB.
[1] http://en.wikipedia.org/wiki/Revenue_equivalence_theorem#Rev...