The Dollar Auction Game In a game described by Martin Shubik a dollar bill is put up for sale. It is offered at auction with a minimum bid of one cent. Anybody who bids this much can take the dollar, provided, of course, that no one else offers more. The game proceeds according to the usual rules of auctions, but with one exception. The special rule is that the auctioneer must be paid not only by the highest bidder, but also by the second-highest bidder. The highest bidder pays what he bid and takes the dollar, while the second-highest bidder pays what he bid but gets nothing. Shubik first published an account of this game in 1971, noting that in his experience at social gatherings the dollar bill sold on average for $3.40. Shubik's profit was greater than this, since he also received the runner-up bid, and so he raked in almost seven dollars. This game has subsequently been used in several well-designed psychological experiments, with very similar results. It is worth limiting the bids to increments of ten cents, to prevent someone from spoiling the game by bidding 99 cents immediately.
Usually, however, there are three critical points in the course of the game. The first critical point is whether the game begins at all. At lively parties it almost always does. It is enough for the auctioneer to propose the game, explain the rules, and play the clown a little: "Well, doesn't anybody want to buy a dollar for one cent? All right, I have a bid of one cent. Doesn't anybody want to put in his two cents to win a dollar?" Once the first two bids have been made, the machinery proceeds under its own power.
The third critical point occurs when someone offers 100 cents for the dollar. At this point the bidder may still be under the illusion that he can escape without a loss. But his opponent knows that if he drops out of the bidding, he will be out 99 cents, while by bidding $l.01 he loses only 1 cent. But after the IOI-cent bid the opponent finds himself in a completely analogous situation: He will lose a dollar if he stops, but only two cents if he continues.
In one experiment psychologists measured the subjects' galvanic skin response, heart rate, and other measures of stress.
In the dollar auction game a greater proportion of men than women bid over a dollar.
Dollar Auctions in the Wild. No matter which animal wins the posing fight, the price of the commodity is paid by both. They have frittered away their time in posing. Thus, posing fights follow exactly the rules of the dollar auction. The player "bidding" the last second wins the goods. The other player gets nothing, but he pays essentially the same as what the winner paid. At first the dollar auction may have seemed rather artificial, but in fact, we have seen that in nature, matters sometimes proceed exactly this way.
Games like Hofstadter's can be used to model how resources, natural and otherwise, can be utilized optimally, and how mankind squanders these resources.
Situations like the one modeled in the competition occur frequently in everyday life: There exist great, "million dollar" opportunities that vanish as soon as everyone tries to take advantage of them. If there are only a few taxis in a city, then a few taxi drivers might become very rich in no time at all, but if everybody becomes a taxi driver, then no one will be able to make a decent living driving a cab. In such a case the city authorities may enter the fray and issue a limited number of taxi permits.
hailed as a hero who has saved mankind
It seems that a perfectly rational individual can never make a decision-that such an ability is vouchsafed only to those of limited rationality.
This may sound strange, but it is merely vacuously true to assert that every one of the zero witches that exist rides on a broomstick.