Showing 1 - 10 of 271
I model sequential decisions over multiple interconnected propositions and investigate pathdependencein such decisions. The propositions and their interconnections are represented in propositionallogic. A sequential decision process is path-dependent if its outcome depends on the order inwhich...
Persistent link: https://www.econbiz.de/10009451520
Persistent link: https://www.econbiz.de/10005369291
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
At the core of republican thought, on Philip Pettit’s account, lies the conception of freedom as non-domination, as opposed to freedom as noninterference in the liberal sense. I revisit the distinction between liberal and republican freedom and argue that republican freedom incorporates a...
Persistent link: https://www.econbiz.de/10011136019
How can different individuals' probability assignments to some events be aggregated into a collective probability assignment? Classic results on this problem assume that the set of relevant events -- the agenda -- is a σ-algebra and is thus closed under disjunction (union) and conjunction...
Persistent link: https://www.econbiz.de/10011108869
This paper characterizes different belief revision rules in a unified framework: Bayesian revision upon learning some event, Jeffrey revision upon learning new probabilities of some events, Adams revision upon learning some new conditional probabilities, and `dual-Jeffrey' revision upon learning...
Persistent link: https://www.econbiz.de/10011110170
What is the relationship between degrees of belief and (all-or-nothing) beliefs? Can the latter be expressed as a function of the former, without running into paradoxes? We reassess this “belief-binarization” problem from the perspective of judgmentaggregation theory. Although some...
Persistent link: https://www.econbiz.de/10011110406
How can different individuals' probability functions on a given σ-algebra of events be aggregated into a collective probability function? Classic approaches to this problem often require `event-wise independence': the collective probability for each event should depend only on the individuals'...
Persistent link: https://www.econbiz.de/10011110568
This review article introduces and evaluates various ways to aggregate probabilistic opinions of different individuals. For each of these three ways, an axiomatic characterization result is presented (a new one in the case of multiplicative pooling). The three ways satisfy different axioms and...
Persistent link: https://www.econbiz.de/10011111553