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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 29 / No.1: The Twenty-Ninth Conference on Artificial Intelligence

Analysis of Equilibria in Iterative Voting Schemes

March 8, 2023

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Authors

Zinovi Rabinovich

Mobileye Vision Technologies


Svetlana Obraztsova

National Technical University of Athens


Omer Lev

Hebrew University of Jerusalem


Evangelos Markakis

Athens University of Economics and Business


Jeffrey Rosenschein

Hebrew University of Jerusalem


DOI:

10.1609/aaai.v29i1.9328


Abstract:

Following recent studies of iterative voting and its effects on plurality vote outcomes, 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 start with the basic model of plurality voting. We first establish some useful properties of equilibria, reachable by iterative voting, which enable us to show that deciding whether a given profile is an iteratively reachable equilibrium is NP-complete. We then proceed to combine iterative voting with the concept of truth bias, a model where voters prefer to be truthful when they cannot affect the outcome. We fully characterise the set of attainable truth-biased equilibria, and show that it is possible to determine all such equilibria in polynomial time. Finally, we also examine the model of lazy voters, in which a voter may choose to abstain from the election. 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.

Topics: AAAI

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HOW TO CITE:

Zinovi Rabinovich|| Svetlana Obraztsova|| Omer Lev|| Evangelos Markakis|| Jeffrey Rosenschein Analysis of Equilibria in Iterative Voting Schemes Proceedings of the AAAI Conference on Artificial Intelligence, 29 (2015) .

Zinovi Rabinovich|| Svetlana Obraztsova|| Omer Lev|| Evangelos Markakis|| Jeffrey Rosenschein Analysis of Equilibria in Iterative Voting Schemes AAAI 2015, .

Zinovi Rabinovich|| Svetlana Obraztsova|| Omer Lev|| Evangelos Markakis|| Jeffrey Rosenschein (2015). Analysis of Equilibria in Iterative Voting Schemes. Proceedings of the AAAI Conference on Artificial Intelligence, 29, .

Zinovi Rabinovich|| Svetlana Obraztsova|| Omer Lev|| Evangelos Markakis|| Jeffrey Rosenschein. Analysis of Equilibria in Iterative Voting Schemes. Proceedings of the AAAI Conference on Artificial Intelligence, 29 2015 p..

Zinovi Rabinovich|| Svetlana Obraztsova|| Omer Lev|| Evangelos Markakis|| Jeffrey Rosenschein. 2015. Analysis of Equilibria in Iterative Voting Schemes. "Proceedings of the AAAI Conference on Artificial Intelligence, 29". .

Zinovi Rabinovich|| Svetlana Obraztsova|| Omer Lev|| Evangelos Markakis|| Jeffrey Rosenschein. (2015) "Analysis of Equilibria in Iterative Voting Schemes", Proceedings of the AAAI Conference on Artificial Intelligence, 29, p.

Zinovi Rabinovich|| Svetlana Obraztsova|| Omer Lev|| Evangelos Markakis|| Jeffrey Rosenschein, "Analysis of Equilibria in Iterative Voting Schemes", AAAI, p., 2015.

Zinovi Rabinovich|| Svetlana Obraztsova|| Omer Lev|| Evangelos Markakis|| Jeffrey Rosenschein. "Analysis of Equilibria in Iterative Voting Schemes". Proceedings of the AAAI Conference on Artificial Intelligence, 29, 2015, p..

Zinovi Rabinovich|| Svetlana Obraztsova|| Omer Lev|| Evangelos Markakis|| Jeffrey Rosenschein. "Analysis of Equilibria in Iterative Voting Schemes". Proceedings of the AAAI Conference on Artificial Intelligence, 29, (2015): .

Zinovi Rabinovich|| Svetlana Obraztsova|| Omer Lev|| Evangelos Markakis|| Jeffrey Rosenschein. Analysis of Equilibria in Iterative Voting Schemes. AAAI[Internet]. 2015[cited 2023]; .


ISSN: 2374-3468


Published by AAAI Press, Palo Alto, California USA
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