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Author: Kenryo Indo

Affiliation: Kanto Gakuen University, Japan

Keyword(s): Arrow’s Impossibility Theorem, the Gibbard–satterthwaite Theorem, Restricted Domain, Super-arrovian Domain, Profile Elimination, Prolog.

Related Ontology Subjects/Areas/Topics: Agents ; Artificial Intelligence ; Artificial Intelligence and Decision Support Systems ; Cooperation and Coordination ; Distributed and Mobile Software Systems ; Economic Agent Models ; Enterprise Information Systems ; Knowledge Engineering and Ontology Development ; Knowledge-Based Systems ; Multi-Agent Systems ; Software Engineering ; Symbolic Systems

Abstract: Classical social choice theory provides axiomatic modeling for collective decision making in multi-agent situations as functions of a set of profiles (i.e., tuples of transitive orderings). The celebrated Arrow’s impossibility theorem (for unanimity-and-independence-obeying preference aggregation) and the Gibbard–Satterthwaite theorem (for strategy-proof voting procedures) assume the unrestricted domain as well as the transitivity of orderings. This paper presents a distribution map of all Arrow-type aggregation rules without the unrestricted domain axiom for the two-individual three-alternative case in parallel with non-imposed strategy-proof voting procedures by using a Prolog program that systematically removes profiles in the super-Arrovian domains.

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Paper citation in several formats:
Indo, K. (2014). Parallel Possibility Results of Preference Aggregation and Strategy-proofness by using Prolog. In Proceedings of the 6th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART; ISBN 978-989-758-016-1; ISSN 2184-433X, SciTePress, pages 243-248. DOI: 10.5220/0004913302430248

@conference{icaart14,
author={Kenryo Indo.},
title={Parallel Possibility Results of Preference Aggregation and Strategy-proofness by using Prolog},
booktitle={Proceedings of the 6th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART},
year={2014},
pages={243-248},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004913302430248},
isbn={978-989-758-016-1},
issn={2184-433X},
}

TY - CONF

JO - Proceedings of the 6th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART
TI - Parallel Possibility Results of Preference Aggregation and Strategy-proofness by using Prolog
SN - 978-989-758-016-1
IS - 2184-433X
AU - Indo, K.
PY - 2014
SP - 243
EP - 248
DO - 10.5220/0004913302430248
PB - SciTePress

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