Refining Tournament Solutions via Margin of Victory

Authors: Markus Brill, Ulrike Schmidt-Kraepelin, Warut Suksompong1862-1869

AAAI 2020 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Theoretical We study the computational complexity of the Mo V with respect to several common tournament solutions, including the Copeland set, the top cycle, the uncovered set, and the Banks set. For each tournament solution, we determine the complexity of computing the Mo V for both winners and nonwinners, in both the unweighted and weighted setting. In addition, we derive tight or asymptotically tight lower and upper bounds on the Mo V for all of the considered tournament solutions in the unweighted setting.
Researcher Affiliation Academia Markus Brill Technische Universit at Berlin Chair of Efficient Algorithms brill@tu-berlin.de; Ulrike Schmidt-Kraepelin Technische Universit at Berlin Chair of Efficient Algorithms u.schmidt-kraepelin@tu-berlin.de; Warut Suksompong University of Oxford Department of Computer Science warut.suksompong@cs.ox.ac.uk
Pseudocode No The paper describes algorithms and proofs in text but does not include explicit pseudocode blocks or labeled algorithm sections.
Open Source Code No The paper does not provide any statements about open-sourcing code for its methodology or links to a code repository.
Open Datasets No The paper is theoretical and does not describe empirical experiments that involve training on a dataset.
Dataset Splits No The paper is theoretical and does not describe empirical experiments that involve a validation set.
Hardware Specification No The paper does not describe any specific hardware used for running experiments, as it is a theoretical paper.
Software Dependencies No The paper does not list specific software dependencies with version numbers, as it is a theoretical paper and does not describe empirical implementations requiring such details.
Experiment Setup No The paper is theoretical and does not describe an experimental setup with hyperparameters or training configurations.