On the convergence of iterative voting: how restrictive should restricted dynamics be?
On the convergence of iterative voting: how restrictive should restricted dynamics be?
We study convergence properties of iterative voting procedures. Such procedures are defined by a voting rule and a (restricted) iterative process, where at each step one agent can modify his vote towards a better outcome for himself. It is already known that if the iteration dynamics (the manner in which voters are allowed to modify their votes) are unrestricted, then the voting process may not converge. For most common voting rules this may be observed even under the best response dynamics limitation. It is therefore important to investigate whether and which natural restrictions on the dynamics of iterative voting procedures can guarantee convergence. To this end, we provide two general conditions on the dynamics based on iterative myopic improvements, each of which is sufficient for convergence. We then identify several classes of voting rules (including Positional Scoring Rules, Maximin, Copeland and Bucklin), along with their corresponding iterative processes, for which at least one of these conditions hold.
993-999
Obraztsova, Svetlana
5a201770-908c-44a8-8e22-62cb16d92bf6
Markakis, Evangelos
038fe0e3-230b-45a7-a214-bf3f99f637a0
Polukarov, Maria
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Rabinovich, Zinovi
573422bf-523d-466b-a047-7a92917102e7
Jennings, Nicholas R.
ab3d94cc-247c-4545-9d1e-65873d6cdb30
2015
Obraztsova, Svetlana
5a201770-908c-44a8-8e22-62cb16d92bf6
Markakis, Evangelos
038fe0e3-230b-45a7-a214-bf3f99f637a0
Polukarov, Maria
bd2f0623-9e8a-465f-8b29-851387a64740
Rabinovich, Zinovi
573422bf-523d-466b-a047-7a92917102e7
Jennings, Nicholas R.
ab3d94cc-247c-4545-9d1e-65873d6cdb30
Obraztsova, Svetlana, Markakis, Evangelos, Polukarov, Maria, Rabinovich, Zinovi and Jennings, Nicholas R.
(2015)
On the convergence of iterative voting: how restrictive should restricted dynamics be?
AAAI 2015: Twenty-Ninth AAAI Conference on Artificial Intelligence, Austin, United States.
25 - 30 Jan 2015.
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
We study convergence properties of iterative voting procedures. Such procedures are defined by a voting rule and a (restricted) iterative process, where at each step one agent can modify his vote towards a better outcome for himself. It is already known that if the iteration dynamics (the manner in which voters are allowed to modify their votes) are unrestricted, then the voting process may not converge. For most common voting rules this may be observed even under the best response dynamics limitation. It is therefore important to investigate whether and which natural restrictions on the dynamics of iterative voting procedures can guarantee convergence. To this end, we provide two general conditions on the dynamics based on iterative myopic improvements, each of which is sufficient for convergence. We then identify several classes of voting rules (including Positional Scoring Rules, Maximin, Copeland and Bucklin), along with their corresponding iterative processes, for which at least one of these conditions hold.
Text
aaai15-restricted-dynamics.pdf
- Accepted Manuscript
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e-pub ahead of print date: January 2015
Published date: 2015
Venue - Dates:
AAAI 2015: Twenty-Ninth AAAI Conference on Artificial Intelligence, Austin, United States, 2015-01-25 - 2015-01-30
Organisations:
Agents, Interactions & Complexity
Identifiers
Local EPrints ID: 372156
URI: http://eprints.soton.ac.uk/id/eprint/372156
PURE UUID: 5343d87f-cad4-4bc6-90d2-1a7ee9473ef5
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Date deposited: 03 Dec 2014 12:12
Last modified: 14 Mar 2024 18:32
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Contributors
Author:
Svetlana Obraztsova
Author:
Evangelos Markakis
Author:
Maria Polukarov
Author:
Zinovi Rabinovich
Author:
Nicholas R. Jennings
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