Search Results for author: Arnab Maiti

Found 8 papers, 2 papers with code

Logarithmic Regret for Matrix Games against an Adversary with Noisy Bandit Feedback

1 code implementation22 Jun 2023 Arnab Maiti, Kevin Jamieson, Lillian J. Ratliff

If the row player uses the EXP3 strategy, an algorithm known for obtaining $\sqrt{T}$ regret against an arbitrary sequence of rewards, it is immediate that the row player also achieves $\sqrt{T}$ regret relative to the Nash equilibrium in this game setting.

Instance-dependent Sample Complexity Bounds for Zero-sum Matrix Games

no code implementations19 Mar 2023 Arnab Maiti, Kevin Jamieson, Lillian J. Ratliff

We study the sample complexity of identifying an approximate equilibrium for two-player zero-sum $n\times 2$ matrix games.

Fairness and Welfare Quantification for Regret in Multi-Armed Bandits

no code implementations27 May 2022 Siddharth Barman, Arindam Khan, Arnab Maiti, Ayush Sawarni

Since NSW is known to satisfy fairness axioms, our approach complements the utilitarian considerations of average (cumulative) regret, wherein the algorithm is evaluated via the arithmetic mean of its expected rewards.

Fairness Multi-Armed Bandits

Streaming Algorithms for Stochastic Multi-armed Bandits

no code implementations9 Dec 2020 Arnab Maiti, Vishakha Patil, Arindam Khan

In this setting, the arms arrive in a stream, and the number of arms that can be stored in the memory at any time, is bounded.

Multi-Armed Bandits Open-Ended Question Answering

On Parameterized Complexity of Binary Networked Public Goods Game

no code implementations3 Dec 2020 Palash Dey, Arnab Maiti

In the Binary Networked Public Goods game, every player needs to decide if she participates in a public project whose utility is shared equally by the community.

Computer Science and Game Theory Computational Complexity Data Structures and Algorithms 68Q27

Query Complexity of Tournament Solutions

no code implementations18 Nov 2016 Arnab Maiti, Palash Dey

We, in this paper, precisely study this problem for commonly used tournament solutions: given an oracle access to the edges of a tournament T, find $f(T)$ by querying as few edges as possible, for a tournament solution f. We first show that the set of Condorcet non-losers in a tournament can be found by querying $2n-\lfloor \log n \rfloor -2$ edges only and this is tight in the sense that every algorithm for finding the set of Condorcet non-losers needs to query at least $2n-\lfloor \log n \rfloor -2$ edges in the worst case, where $n$ is the number of vertices in the input tournament.

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