Template-Type: ReDIF-Paper 1.0
Author-Name: Mihir Bhattacharya
Author-Name-First: Mihir
Author-Name-Last: Bhattacharya
Author-Email: mihir.bhattacharya@ashoka.edu.in
Author-Workplace-Name: Ashoka University
Author-Name: Ojasvi  Khare
Author-Name-First: Ojasvi 
Author-Name-Last: Khare
Author-Email: ojasvi19r@isid.ac.in
Author-Workplace-Name: Indian Statistical Institute, Delhi
Title: Fair allocation with (semi-single-peaked) preferences over location and quantity
Abstract: We consider the problem of dividing and allocating a perfectly divisible heterogeneous good where agents have a preference for location and quantity. We assume that preferences are single-peaked in quantity, i.e., semi-single-peaked which can be represented by continuous indifference curves (ICs). We show existence of envy-free and Pareto efficient allocation rules, and characterize the set of all such rules using the notion of a balanced IC. We define the balanced-curve allocation (BCA) which uses the region between the two balanced ICs to obtain feasible allocations. We show that an allocation rule is envy-free and Pareto efficient if and only if it is in the set specified by the BCA rule.  We show that there is no strategy-proof, envy-free and Pareto efficient allocation rule. We provide some insights into the problem when there are more than 2 agents.
length: 30
Creation-Date: 20240404
Revision-Date: 
Publication-Status: 
File-URL:https://dp.ashoka.edu.in/ash/wpaper/paper111_0.pdf
File-Format: Application/pdf 
Number: 111
Keywords: Allocation
Keywords: Envy-free
Keywords: Location
Keywords: Quantity
Keywords: single-peaked
Handle: RePEc:ash:wpaper:111