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Single-peakedness of preferences via deliberation: A formal study
Title: | Single-peakedness of preferences via deliberation: A formal study |
Authors: | Ghosh, Sujata Browse this author |
Issue Date: | 2019 |
Start Page: | 066 |
End Page: | 071 |
Abstract: | There are two important aspects of any democratic decision: aggregation of preferences and deliberation about preferences. They are essential and complementary components of any decision making process. While the well-studied process of aggregation focuses on accumulating individual preferences without discussing their origin [4], deliberation can be seen as a conversation through which individuals justify their preferences, a process that might lead to changes in their opinions as they get influenced by one another. Till now, there has been a lot of work on the ‘aggregation’ aspect (e.g., [12, 14, 6]). However, some recent work has focussed on the deliberation aspect as well [8, 9, 10, 15]. Sometimes, deliberation does not lead to unanimity in preferences, but the discussion can lead to some ‘preference uniformity’ (see how deliberation can help in bypassing social choice theory’s impossibility results in [5]), which might facilitate their eventual aggregation. In addition, the combination of both processes provides a more realistic model for decision making scenarios. In light of this status quo, our focus is on the formal study of achieving such preference uniformities, e.g., single-peaked, single-caved, single-crossing, value-restricted, best-restricted, worst-restricted, medium-restricted, or group-separable profiles. In this short abstract we provide our preliminary ideas towards achieving singlepeakedness of preference profiles via deliberation. In what follows, we define two preference upgrade operators based on [8, 9] and provide a preliminary discussion on how single-peaked preference profiles can be achieved through such operations. We will delve into the details of the logical language in the main paper. |
Description: | 5th International Workshop On Philosophy and Logic of Social Reality. 15-17 November 2019.Hokkaido University, Sapporo, Japan |
Conference Name: | International Workshop on Philosophy and Logic of Social Reality (SOCREAL) 2019 |
Conference Sequence: | 5 |
Conference Place: | Sapporo |
Type: | proceedings |
URI: | http://hdl.handle.net/2115/76680 |
Appears in Collections: | SOCREAL 2019 : 5th International Workshop on Philosophy and Logic of Social Reality > Proceedings
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