Greedy algorithms for maximizing Nash social welfare

S Barman, SK Krishnamurthy, R Vaish - arXiv preprint arXiv:1801.09046, 2018 - arxiv.org
Nash social welfare is known to be APX-hard in general, we study the effectiveness of
simple, greedy algorithms in … First, we show that a simple, greedy algorithm provides a 1.061-…

Online nash social welfare maximization with predictions

S Banerjee, V Gkatzelis, A Gorokh, B Jin - … Symposium on Discrete Algorithms …, 2022 - SIAM
… Section 4 contains the main positive result of the paper: the Set-Aside Greedy algorithm, that
achieves a competitive ratio of O(log N) and O(log T) for online NSW maximization. Section …

Nash social welfare in selfish and online load balancing

V Bilò, G Monaco, L Moscardelli, C Vinci - ACM Transactions on …, 2022 - dl.acm.org
… For the online setting, we analyze the greedy algorithmgreedy algorithm, and we show
that, when considering polynomial latency functions of degreep, there exists no online algorithm

[PDF][PDF] Online Nash Social Welfare Maximization with Predictions

A Gorokh, S Banerjee, B Jin, V Gkatzelis - … on Discrete Algorithms, 2022 - par.nsf.gov
… Section 4 contains the main positive result of the paper: the Set-Aside Greedy algorithm, that
achieves a competitive ratio of O(log N) and O(log T) for online NSW maximization. Section …

[HTML][HTML] Minimizing envy and maximizing average Nash social welfare in the allocation of indivisible goods

TT Nguyen, J Rothe - Discrete Applied Mathematics, 2014 - Elsevier
… We also present a polynomial-time algorithm for the case when the number of agents is …
social welfare by the average Nash product. We provide a fast greedy approximation algorithm

Maximizing Nash social welfare in 2-value instances

H Akrami, BR Chaudhury, M Hoefer… - Proceedings of the …, 2022 - ojs.aaai.org
… We consider the problem of maximizing the Nash social welfare when … In this work, we design
an algorithm to compute an optimal … Our algorithm is a greedy procedure and improves this …

Optimizing social welfare for network bargaining games in the face of unstability, greed and spite

THH Chan, F Chen, L Ning - Algorithms–ESA 2012: 20th Annual European …, 2012 - Springer
… We saw in Proposition 1 that a Nash Equilibrium m can result in zero social welfare if users
are spiteful. In this section, we investigate under what conditions can a fixed point (m, α, S) of …

Almost envy-freeness, envy-rank, and nash social welfare matchings

A Farhadi, MT Hajiaghayi, M Latifian… - Proceedings of the …, 2021 - ojs.aaai.org
algorithm we use Nash Social Welfare Matching which makes a new connection between
Nash Social … example which shows that a Nash Social Welfare allocation is not necessarily …

Approximating nash social welfare by matching and local search

J Garg, E Husić, W Li, LA Végh, J Vondrák - … of the 55th Annual ACM …, 2023 - dl.acm.org
… To solve the relaxation (approximately), they use an iterated continuous greedy algorithm.
The allocation R is obtained by independent randomized rounding of this fractional solution. …

Maximizing Nash Social Welfare under Two-Sided Preferences

P Jain, R Vaish - Proceedings of the AAAI Conference on Artificial …, 2024 - ojs.aaai.org
… Our algorithm for symmetric binary valuations uses the greedy … )-sized bins for the Nash
product and obtain an approximation algorithm. Before we discuss our algorithm, let us introduce …