To Divide the Rent, Start With a Triangle
Citation (APA): SUN, A. (2014). To Divide the Rent, Start With a Triangle [Kindle Android version]. Retrieved from Amazon.com
Parte introduttiva
Evidenzia (giallo) - Posizione 2
To Divide the Rent, Start With a Triangle By ALBERT SUN
Nota - Posizione 3
t
Evidenzia (giallo) - Posizione 5
Last year, two friends and I moved into a small three-bedroom apartment in Manhattan. We chose it for its relatively reasonable price— around $ 3,000 a month— and its convenient location. Just finding it was a challenge, but then we faced another one: deciding who would get each bedroom.
Nota - Posizione 7
IL PROBLEMA
Evidenzia (giallo) - Posizione 10
a field of academics is dedicated to studying the subject of fair division,
Evidenzia (giallo) - Posizione 12
how to divide good and bad things fairly among groups
Evidenzia (giallo) - Posizione 12
none of the typical methods are satisfactory.
Evidenzia (giallo) - Posizione 14
The problem is that individuals evaluate a room differently. I care a lot about natural light, but not everyone does. Is it worth not having a closet? Or one might care more about the shape of the room, or its proximity to the bathroom.
Nota - Posizione 15
c COL PROB
Evidenzia (giallo) - Posizione 19
division of rent based on square feet or any fixed list of elements can’t take every individual preference into account.
Nota - Posizione 20
METODI TIPICI
Evidenzia (giallo) - Posizione 21
a paper by Francis Su,
Evidenzia (giallo) - Posizione 23
German mathematician Emanuel Sperner. It is called Sperner’s lemma.
Evidenzia (giallo) - Posizione 27
another problem
Evidenzia (giallo) - Posizione 27
group has to divide a theoretical cake
Evidenzia (giallo) - Posizione 30
traces back to Solomon and the baby.
Nota - Posizione 31
BIBBIA
Evidenzia (giallo) - Posizione 32
both the Bible and the Talmud have examples.
Evidenzia (giallo) - Posizione 32
The procedures have been used to divide such things as Germany after World War II, deep-sea mining rights, and property after a divorce or death.
Nota - Posizione 33
CASI
Evidenzia (giallo) - Posizione 34
Ariel D. Procaccia,
Evidenzia (giallo) - Posizione 35
has been working on a website, Spliddit,
Evidenzia (giallo) - Posizione 35
things like the order of names of co-authors on a scientific paper or prized possessions in a divorce.
Nota - Posizione 36
CASI
Evidenzia (giallo) - Posizione 57
To find a solution accurate to the dollar requires only a finite number of steps.
Nota - Posizione 58
TRIANGOLI FINITI
Evidenzia (giallo) - Posizione 59
the solution is “envy free,”
Evidenzia (giallo) - Posizione 59
No one will want to swap his room and price for someone else’s.
Nota - Posizione 60
GARANZIA
Evidenzia (giallo) - Posizione 60
Part of the beauty of the approach is that you don’t have to come up with numbers yourself. All it requires is that at each step you pick which room you like best based on the prices assigned
Nota - Posizione 61
NESSUN NUMERO
