Decision

Subcategories

• Crossing3 +3

Puzzles

• allaisThe Allais Paradox involves the choice between two alternatives: Added material
• burn.gameRose and Colin play the Battle of the Sexes, but Colin may first "burn" 95 utility units in full view of Rose. New
• divide.1000Two persons each divide $1000 into three different amounts and compare highest with highest, middle with... New
• divisionN-Person Fair Division
• dowrySultan's Dowry Added material
• dowry.known.distributionSultan's Dowry with known distribution New
• draw.or.standTwo players each draw a card from a uniform deck of numbers between 0 and 1 and may simultaneously choose... New, unsolved
• ellsbergEllsberg's paradox: why do the common preferences between bets on an urn of known and an urn of unknown... New, unsolved
• envelopeSomeone has prepared two envelopes containing money. Added material
• exchangeAt one time, the Canadian and US dollars were discounted by 10 cents on each side of the border (i.e., a... Added material
• five.piratesFive pirates on an island have one hundred gold coins to split between them. Added material
• guess.weighted.numberA computer generates a number between 1 and 100 (both inclusive), according to a known probability... New
• high.or.lowI pick two numbers, randomly, and tell you one of them. Added material
• ice.cream.vendorsIce-cream vendors arrive one after another at a beach of length 1 and each chooses a spot; customers are... New
• monty.four.doorsIn a four-door Monty Hall game, the contestant guesses door A, Monty opens empty door B, and the contestant switches to C. New
• monty.hallYou are a participant on "Let's Make a Deal." Monty Hall shows you three closed doors. Added material
• newcombNewcomb's Problem Added material
• newcomb.smullyanBox A contains $100 and box B contains either nothing or $1 million. New
• prisonersThree prisoners on death row are told that one of them has been chosen at random for execution the next... Added material
• prisoners.dilemmaWhat is a good strategy for the iterated Prisoner's Dilemma when there is noise, a 5% chance that you... New, unsolved
• proportional.votingHow would you design a voting system that produces the following result: the ratio of meat-eaters to... New
• redI show you a shuffled deck of standard playing cards, one card at a time. Added material
• red.black.bettingYou have $100 to bet on the following game: take a shuffled deck of cards, and deal through it one at a time. New
• rent.divisionN people share a house with N rooms and a fixed total rent; how can the rooms be allocated and priced at... New
• rotating.tableFour glasses are placed in the four corners of a square rotating table (like a lazy susan). Added material
• statistical.inferenceIn what sense is statistical inference inference? New
• stpetersburgWhat should you be willing to pay to play a game in which the payoff is calculated as follows: a coin is...
• switchSwitch? (The Monty Hall Problem) Restored
• three.amountsTwo persons each divide $1000 into three different amounts; whoever has the larger amount in two of the three comparisons wins. New
• travelers.trilemmaTwo travelers who want to meet each come to a crossroad and must go left, right or straight ahead; which... New, unsolved
• truelA, B, and C are to fight a three-cornered pistol duel. Added material
• truel.one.bulletThree people, A, B and C, are each given a gun with one bullet, and all are perfect shots. New
• two.gamblersTwo gamblers, A and B, are about to play a game. New
• zeckhauserWould you pay more to empty both loaded chambers of a six-shooter holding two bullets, or to empty one of... New, unsolved