Analysis of Equilibria in Iterative Voting Schemes

Authors: Zinovi Rabinovich, Svetlana Obraztsova, Omer Lev, Evangelos Markakis, Jeffrey Rosenschein

AAAI 2015 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Theoretical We provide characterisations and complexity results for three models of iterative voting under the plurality rule. Our focus is on providing a better understanding regarding the set of equilibria attainable by iterative voting processes. ... we show that deciding whether a given profile is an iteratively reachable equilibrium is NP-complete. We fully characterise the set of attainable truth-biased equilibria, and show that it is possible to determine all such equilibria in polynomial time. ... We establish convergence of the iterative process, albeit not necessarily to a Nash equilibrium. As in the case with truth bias, we also provide a polynomial time algorithm to find all the attainable equilibria.
Researcher Affiliation Academia Zinovi Rabinovich Independent Researcher Jerusalem, Israel zr@zinovi.net Svetlana Obraztsova National Technical University of Athens, Greece Tel-Aviv University, Israel svetlana.obraztsova@gmail.com Omer Levs Hebrew University of Jerusalem Israel omerl@cs.huji.ac.il Evangelos Markakis Athens University of Economics & Business Greece markakis@gmail.com Jeffrey S. Rosenschein Hebrew University of Jerusalem Israel jeff@cs.huji.ac.i
Pseudocode Yes Algorithm 1 Checking reachability of NE under lazy voting
Open Source Code No The paper does not contain any explicit statements or links indicating the availability of open-source code for the described methodology.
Open Datasets No The paper is theoretical and does not involve training on datasets or provide information about dataset availability for such purposes.
Dataset Splits No The paper is theoretical and does not involve training or validation splits of datasets.
Hardware Specification No The paper is theoretical and does not conduct experiments that would require specifying hardware details.
Software Dependencies No The paper is theoretical and does not describe software dependencies with specific version numbers.
Experiment Setup No The paper is theoretical and does not describe an experimental setup with hyperparameters or system-level training settings.