5,781 research outputs found
Entanglement Enhanced Multiplayer Quantum Games
We investigate the 3-player quantum Prisoner's Dilemma with a certain
strategic space, a particular Nash equilibrium that can remove the original
dilemma is found. Based on this equilibrium, we show that the game is enhanced
by the entanglement of its initial state.Comment: 9 pages, 3 figure
A Formal Theory of Democratic Deliberation
Inspired by impossibility theorems of social choice theory, many democratic theorists have argued that aggregative forms of democracy cannot lend full democratic justification for the collective decisions reached. Hence, democratic theorists have turned their attention to deliberative democracy, according to which “outcomes are democratically legitimate if and only if they could be the object of a free and reasoned agreement among equals” (Cohen 1997a, 73). However, relatively little work has been done to offer a formal theory of democratic deliberation. This article helps fill that gap by offering a formal theory of three different modes of democratic deliberation: myopic discussion, constructive discussion, and debate. We show that myopic discussion suffers from indeterminacy of long run outcomes, while constructive discussion and debate are conclusive. Finally, unlike the other two modes of deliberation, debate is path independent and converges to a unique compromise position, irrespective of the initial status quo
Comparing the -Normal Distribution to its Classical Counterpart
In one dimension, the theory of the -normal distribution is
well-developed, and many results from the classical setting have a nonlinear
counterpart. Significant challenges remain in multiple dimensions, and some of
what has already been discovered is quite nonintuitive. By answering several
classically-inspired questions concerning independence, covariance uncertainty,
and behavior under certain linear operations, we continue to highlight the
fascinating range of unexpected attributes of the multidimensional -normal
distribution.Comment: Final version. To appear in Communications on Stochastic Analysis.
Title has changed. Keywords: sublinear expectation, multidimensional
-normal distribution, independenc
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