scholarly journals Strategic manipulation in judgment aggregation under higher-level reasoning

Author(s):  
Zoi Terzopoulou ◽  
Ulle Endriss

AbstractWe analyse the incentives of individuals to misrepresent their truthful judgments when engaged in collective decision-making. Our focus is on scenarios in which individuals reason about the incentives of others before choosing which judgments to report themselves. To this end, we introduce a formal model of strategic behaviour in logic-based judgment aggregation that accounts for such higher-level reasoning as well as the fact that individuals may only have partial information about the truthful judgments and preferences of their peers. We find that every aggregation rule must belong to exactly one of three possible categories: it is either (i) immune to strategic manipulation for every level of reasoning, or (ii) manipulable for every level of reasoning, or (iii) immune to manipulation only for every kth level of reasoning, for some natural number k greater than 1.

2020 ◽  
Vol 34 (10) ◽  
pp. 13722-13723
Author(s):  
Grzegorz Lisowski

In my PhD project I study the algorithmic aspects of strategic behaviour in collective decision making, with the special focus on voting mechanisms. I investigate two manners of manipulation: (1) strategic selection of candidates from groups of potential representatives and (2) influence on voters located in a social network.


Author(s):  
Shmuel Nitzan ◽  
Jacob Paroush

Issues related to collective decision making and to Condorcet jury theorems have been studied and publicly discussed for over two hundred years. Recently, there is a burgeoning interest in the topic by academicians as well as practitioners in the fields of Law, Economics, Political Science, and Psychology. Typical questions are: What is the optimal size of a panel of decision makers such as a jury, a political committee, or a board of directors? Which decision rule to utilize? Who should be the members of the team, representatives or professionals? What is the effect of strategic behaviour, group dynamics, conflict of interests, free riding, social interactions, and personal interdependencies on the final collective decision? This article presents current thinking in the field, offers suggestions for further research, and alludes to possible future developments regarding public choice and collective decision making.


Author(s):  
Shmuel Nitzan ◽  
Jacob Paroush

A group of individuals faces the choice of an alternative out of a set of alternatives. Each member of the group holds an opinion regarding the most suitable (best) alternative for which he or she votes. In this setting, the individual votes are based on their decisional competencies, which hinge on the information to which they are exposed and on their ability to make use of that information. The main question is how to translate the group members’ voting profile to a single collective choice. This chapter studies different aspects of this question in the context of binary voting where the group faces only two alternatives. The selection of an appropriate aggregation rule is a central issue in the fields of social choice, public choice, voting theory, and collective decision making. Since the votes are based on the individual competencies, the applied aggregation rule should take into account not only the voting profile but also the competency profile. In fact, it should also take into consideration any other relevant environmental information such as the asymmetry between the feasible alternatives, the dependence between individual votes, decision-making costs, and the available past record of the voters’ decisions. The chapter focuses on the clarification of the relationship between the performance of binary aggregation rules and the relevant variables and parameters. This has direct normative implications regarding the desirable mode of collective decision making and, in particular, regarding the desirable aggregation rule and the size and the composition of the decision-making body.


Author(s):  
Jack Knight ◽  
James Johnson

This chapter examines three ways that political argument can affect democratic decision making and, thus, significantly mitigate the force of the social choice challenge. By engaging in political argument, relevant agents can settle the dimensions that, in any instance, structure their disagreements. This causal effect not only dampens the prospects that collective decision making will generate cyclical outcomes, it thereby reduces the opportunities for strategic manipulation that such instability presents. Once the analytical argument has established the possibility that voting, augmented by argument, could produce normatively legitimate decisions, the chapter considers two ways in which democratic argument can enhance the quality of such decisions: diversity and reflexivity.


2015 ◽  
Vol 31 (1) ◽  
pp. 93-121 ◽  
Author(s):  
Juan Perote-Peña ◽  
Ashley Piggins

Abstract:We present a model of collective decision making in which aggregation and deliberation are treated simultaneously. Individuals debate in a public forum and potentially revise their judgements in light of deliberation. Once this process is exhausted, a rule is applied to aggregate post-deliberation judgements in order to make a social choice. Restricting attention to three alternatives, we identify conditions under which a democracy is ‘truth-revealing’. This condition says that the deliberation path and the aggregation rule always lead to the correct social choice being made, irrespective of both the original profile of judgements and the size of the electorate.


2014 ◽  
Vol 5 (1) ◽  
Author(s):  
Andrew Pickering

"Instead of considering »being with« in terms of non-problematic, machine-like places, where reliable entities assemble in stable relationships, STS conjures up a world where the achievement of chancy stabilisations and synchronisations is local.We have to analyse how and where a certain regularity and predictability in the intersection of scientists and their instruments, say, or of human individuals and groups, is produced.The paper reviews models of emergence drawn from the history of cybernetics—the canonical »black box,« homeostats, and cellular automata—to enrich our imagination of the stabilisation process, and discusses the concept of »variety« as a way of clarifying its difficulty, with the antiuniversities of the 1960s and the Occupy movement as examples. Failures of »being with« are expectable. In conclusion, the paper reviews approaches to collective decision-making that reduce variety without imposing a neoliberal hierarchy. "


Author(s):  
Claire Taylor

The chapter examines a major corruption scandal that involved the Athenian orator Demosthenes and an official of Alexander the Great. This episode reveals how tensions between individual and collective decision-making practices shaped Athenian understandings of corruption and anticorruption. The various and multiple anticorruption measures of Athens sought to bring ‘hidden’ knowledge into the open and thereby remove information from the realm of individual judgment, placing it instead into the realm of collective judgment. The Athenian experience therefore suggests that participatory democracy, and a civic culture that fosters political equality rather than reliance on individual expertise, provides a key bulwark against corruption.


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