The Combinatorial Assignment Problem: Approximate Competitive Equilibrium from Equal Incomes

2011 ◽  
Vol 119 (6) ◽  
pp. 1061-1103 ◽  
Author(s):  
Eric Budish
Keyword(s):  
Assignment Problem ◽  
Competitive Equilibrium ◽  
Combinatorial Assignment

Fair Allocation of Indivisible Goods: Improvement

2021 ◽  
Author(s):  
Mohammad Ghodsi ◽  
Mohammad Taghi Hajiaghayi ◽  
Masoud Seddighin ◽  
Saeed Seddighin ◽  
Hadi Yami
Keyword(s):  
Assignment Problem ◽  
Competitive Equilibrium ◽  
Fundamental Problem ◽  
Impossibility Result ◽  
Utility Functions ◽  
Fair Allocation ◽  
Indivisible Goods ◽  
Approximation Result ◽  
Combinatorial Assignment

We study the problem of fair allocation for indivisible goods. We use the maximin share paradigm introduced by Budish [Budish E (2011) The combinatorial assignment problem: Approximate competitive equilibrium from equal incomes. J. Political Econom. 119(6):1061–1103.] as a measure of fairness. Kurokawa et al. [Kurokawa D, Procaccia AD, Wang J (2018) Fair enough: Guaranteeing approximate maximin shares. J. ACM 65(2):8.] were the first to investigate this fundamental problem in the additive setting. They showed that in delicately constructed examples, not everyone can obtain a utility of at least her maximin value. They mitigated this impossibility result with a beautiful observation: no matter how the utility functions are made, we always can allocate the items to the agents to guarantee each agent’s utility is at least 2/3 of her maximin value. They left open whether this bound can be improved. Our main contribution answers this question in the affirmative. We improve their approximation result to a 3/4 factor guarantee.

scholarly journals A Combinatorial Assignment Problem

Nature ◽  
1961 ◽  
Vol 191 (4783) ◽  
pp. 100-100 ◽  
Author(s):  
C. RADHAKRISHNA RAO
Keyword(s):  
Assignment Problem ◽  
Combinatorial Assignment

A MODERN APPROACH FOR SOLVING INTERVAL BASED ASSIGNMENT PROBLEM

2020 ◽  
Vol 9 (5) ◽  
pp. 2541-2545
Author(s):  
M. Radha ◽  
S. Ananthalakshmi ◽  
R. U. Parameswari
Keyword(s):  
Assignment Problem ◽  
Modern Approach
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