Abstract
Preference aggregation and judgment aggregation are two basic research models of group decision making. And preference aggregation has been deeply studied in social choice theory. However, researches of social choice theory gradually focus on judgment aggregation which appears recently. Judgment aggregation focuses on how to aggregate many consistent logical formulas into one, from the perspective of logic. We try to start with judgment aggregation model based on logic and then explore different solutions to problem of judgment aggregation.
Highlights
After American famous economist Professor Kenneth Arrow published his classic work Social Choice and Individual Values, researches begin to focus more and more on social choice theory
Preference aggregation has been deeply studied in social choice theory
3 Solution to problems of judgment aggregation. These impossibility theorems in judgment aggregation prove that there is no perfect rule for aggregation, and make us realize that we should relax these conditions to figure out an aggregation rule which can be accepted
Summary
After American famous economist Professor Kenneth Arrow published his classic work Social Choice and Individual Values, researches begin to focus more and more on social choice theory. Preference aggregation has been deeply studied in social choice theory It mainly cares about whether we can build a process moving from the known individual preference to social decision making mode, at the same time; make the process fit certain reasonable conditions. The necessity of this part can be well explained in following “Condorcet Paradox”. If we figure out the group judgment by majority vote aggregation, the group should agree p as well as p→q and oppose q. It is clear that the group judgment is irrational when we adopt majority vote aggregation to aggregate individuals’ preference, for the group’s judgment isn’t logically consistent
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