This paper considers a binary decision to be made by a committee - canonically, a jury - through a voting procedure. Each juror must vote on whether a defendant is guilty or not guilty. The voting rule aggregates the votes to determine whether the defendant is convicted or acquitted. We focus on...

The classical Luce model (Luce, 1959) assumes positivity of random choice: each available alternative is chosen with strictly positive probability. The model is characterised by Luce's choice axiom. Ahumada and Ülkü (2018) and (independently) Echenique and Saito (2019) define the general Luce...

We extend and refine conditions for 'Luce rationality' (i.e., the existence of a Luce - or logit - model) in the context of stochastic choice. When choice probabilities satisfy positivity, we show that the cyclical independence (CI) condition of Ahumada and Ülkü (2018) and Echenique and Saito...

Ellis (2016) introduced a variant of the classic (jury) voting game in which voters have ambiguous prior beliefs. He focussed on voting under majority rule and the implications of ambiguity for Condorcet's Theorem. Ryan (2021) studied Ellis's game when voting takes place under the unanimity...

An investment bubble is a period of excessive, and predictably unpro table, investment (DeMarzo, Kaniel and Kremer, 2007, p.737). Such bubbles most often accompany the arrival of some new technology, such as the tech stock boom and bust of the late 1990 s and early 2000 s. We provide a rational...

Experimental evidence suggests that choice behaviour has a stochastic element. Much of this evidence is based on studying choices between lotteries ñchoice under risk. Binary choice probabilities admit a strong utility representation (SUR) if there is a utility function such that the...

This paper studies the essential elements (Puppe, 1996) associated with binary relations over opportunity sets. We restrict attention to binary relations which are re?flexive and transitive (pre-orders) and which further satisfy a monotonicity and desirability condition. These are called...

Scalability refers to the existence of a utility scale on alternatives, with respect to which binary choice probabilities are suitably monotone. This is a fundamental concept in psychophysical theory (Falmagne, 1985). We introduce a new notion of scalability which we call strict scalability, and...

Experimental evidence suggests that the process of choosing between lotteries (risky prospects) is stochastic and is better described through choice probabilities than preference relations. Binary choice probabilities admit a Fechner representation if there exists a utility function u such that...

We present new axiomatisations for various models of binary stochastic choice that may be characterised as "expected utility maximisation with noise". These include axiomatisations of strictly (Ryan 2018a) and simply (Tversky and Russo, 1969) scalable models, plus strict (Ryan, 2015) and strong...