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In the theory of judgment aggregation on logically connected propositions, an important question remains open: Which aggregation rules are manipulable and which are strategy-proof? We define manipulability and strategy-proofness in judgment aggregation, characterize all strategy-proof...
Persistent link: https://www.econbiz.de/10005796070
In the classical Condorcet jury model, different jurors' votes are independent random variables, where each juror has the same probability p1/2 of voting for the correct alternative. The probability that the correct alternative will win under majority voting converges to 1 as the number of...
Persistent link: https://www.econbiz.de/10005812261
In judgment aggregation, unlike preference aggregation, not much is known about domain restrictions that guarantee consistent majority outcomes. We introduce several conditions on individual judgments sufficient for consistent majority judgments. Some are based on global orders of propositions...
Persistent link: https://www.econbiz.de/10008507104
Persistent link: https://www.econbiz.de/10005061531
All existing impossibility theorems on judgment aggregation over logically connected propositions have one of two restrictions: they either use a controversial systematicity condition or apply only to special agendas of propositions with rich logical connections. An important open question is...
Persistent link: https://www.econbiz.de/10005408407
It is known that majority voting among several individuals on logically interconnected propositions may generate irrational collective judgments. We generalize majority voting by considering quota rules, which accept each proposition if and only if the number of individuals accepting it exceeds...
Persistent link: https://www.econbiz.de/10005408431
Persistent link: https://www.econbiz.de/10005752969
"Reason-based rationalizations" explain an agent's choices by specifying which properties of the options or choice context he/she cares about (the "motivationally salient properties") and how he/she cares about these properties the "fundamental preference relation"). We characterize the...
Persistent link: https://www.econbiz.de/10010747940
Rational choice theory analyzes how an agent can rationally act, given his or her preferences, but says little about where those preferences come from. Preferences are usually assumed to be fixed and exogenously given. Building on related work on reasons and rational choice (Dietrich and List,...
Persistent link: https://www.econbiz.de/10010681307
The widely discussed `discursive dilemma' shows that majority voting in a group of individuals on logically connected propositions may produce irrational collective judgments. We generalize majority voting by considering quota rules, which accept each proposition if and only if the number of...
Persistent link: https://www.econbiz.de/10010777998