EUROCORES LogiCCC (collaboration led by Dr. Edith Elkind): Computational Foundations of Social Choice.

Lead Research Organisation: University of Southampton
Department Name: Electronics and Computer Science

Abstract

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Description The principal goal of this research is to study foundational issues in social choice theory, which is concerned with decision mechanisms, such as voting and auctions, in order to aggregate individual preferences and reach a collective decision. Traditionally, theoretical research in economics and social sciences was focused on asking whether a certain mechanism has some desirable properties (e.g., incentive compatibility, non-manipulability, etc.). However, to use these results in real-world applications such as e-commerce or online voting, the participants should be able to construct the mechanism and/or compute their strategies. Often, they have to do so in real time, and their computational resources are limited. Therefore, it becomes essential to ensure that the solutions proposed by the research community satisfy the criterion of efficient computability, a concept that originates in computer science, but has found applications to various areas of natural and social sciences.

The goal of this project was to design robust mechanisms for a range of problems in social choice using techniques developed in the areas of algorithms and complexity theory. Specifically, we have shown that computational hardness can be used as a barrier to dishonest behaviour in several types of voting scenarios. Furthermore, we developed computationally efficient allocation algorithms for auctions. We considered several voting scenarios, including safe voting, where a manipulation is called safe it is guaranteed to be no worse for the person manipulating. Furthermore, we considered bribery scenarios where a manipulator can try and bribe other voters in order to manipulate the outcome.
Exploitation Route The findings can be used by others in the field of computational social choice and the algorithms could be applied in the real world.
Sectors Creative Economy,Digital/Communication/Information Technologies (including Software)