Suppose we want to fairly allocate a set of indivisible chores, for which each agent has negative utility. What is the natural analogue of EF1 allocation in this case? Design an algorithm to obtain an EF1 allocation when agents have additive valuations.

Suppose we want to fairly allocate a set of indivisible chores, for which each agent has negative utility. What is the natural analogue of EF1 allocation in this case? Design an algorithm to obtain an EF1 allocation when agents have additive valuations.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

Suppose we want to fairly allocate a set of indivisible
chores, for which each agent has negative utility. What
is the natural analogue of EF1 allocation in this case?
Design an algorithm to obtain an EF1 allocation when
agents have additive valuations.

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Step 1: Define the Problem

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Step 2: Analyze the Concept of EFI for Goods

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Step 3: Determine the Natural Analogue: EF1C for Chores

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Step 4: Design an Algorithm for EF1C Allocation

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