On a method of obtaining exact fair divisions

Jerzy Legut

Mathematica Applicanda (2018)

  • Volume: 46, Issue: 2
  • ISSN: 1730-2668

Abstract

top
Let the unit interval I represent a cake to be divided among n players estimating the measurable subsets of I by nonatomic probability n measures. We show a method of obtaining an exact fair division of the cake such that i-th each part has i-th measure equals 1/n for all players.

How to cite

top

Jerzy Legut. "On a method of obtaining exact fair divisions." Mathematica Applicanda 46.2 (2018): null. <http://eudml.org/doc/292916>.

@article{JerzyLegut2018,
abstract = {Let the unit interval I represent a cake to be divided among n players estimating the measurable subsets of I by nonatomic probability n measures. We show a method of obtaining an exact fair division of the cake such that i-th each part has i-th measure equals 1/n for all players.},
author = {Jerzy Legut},
journal = {Mathematica Applicanda},
keywords = {cake cutting, exact fair division, algorithms},
language = {eng},
number = {2},
pages = {null},
title = {On a method of obtaining exact fair divisions},
url = {http://eudml.org/doc/292916},
volume = {46},
year = {2018},
}

TY - JOUR
AU - Jerzy Legut
TI - On a method of obtaining exact fair divisions
JO - Mathematica Applicanda
PY - 2018
VL - 46
IS - 2
SP - null
AB - Let the unit interval I represent a cake to be divided among n players estimating the measurable subsets of I by nonatomic probability n measures. We show a method of obtaining an exact fair division of the cake such that i-th each part has i-th measure equals 1/n for all players.
LA - eng
KW - cake cutting, exact fair division, algorithms
UR - http://eudml.org/doc/292916
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.