1,727 research outputs found
Measurement of Social Preference from Utility-Based Choice Experiments
Ever since the classical works of Smith and Veblen, economists have recognized that individuals care about their relative positions and status in addition to their own consumption. This paper addresses a new framework of choice experiments in order to specify the shape of utility function with preference externalities. Theoretical studies on social preference, which are conducted without estimating or calibrating important parameters of social preference and put forward various propositions in accordance with the parameters assumed, can refer to the parameters estimated in this paper. Our findings complement those of happiness studies which support the view of social preference. We show that preference externality is, on average, characterized by jealousy among Japanese respondents, and also that heterogeneity in social preference parameters is driven by differences in income levels, age, and gender.
Construction of families of dihedral quintic polynomials
In this article, we give two families of dihedral quintic polynomials by using the Weber sextic resolvent and a certain elliptic curve
Detecting partial synchrony in a complex oscillatory network using pseudo-vortices
Partial synchronization is characteristic phase dynamics of coupled
oscillators on various natural and artificial networks, which can remain
undetected due to the complexity of the systems. With an analogy between
pairwise asynchrony of oscillators and topological defects, i.e., vortices, in
the two-dimensional XY spin model, we propose a robust and data-driven method
to identify the partial synchronization on complex networks. The proposed
method is based on an integer matrix whose element is pseudo-vorticity that
discretely quantifies asynchronous phase dynamics in every two oscillators,
which results in graphical and entropic representations of partial synchrony.
As a first trial, we apply our method to 200 FitzHugh-Nagumo neurons on a
complex small-world network. Partially synchronized chimera states are revealed
by discriminating synchronized states even with phase lags. Such phase lags
also appear in partial synchronization in chimera states. Our topological,
graphical, and entropic method is implemented solely with measurable phase
dynamics data, which will lead to a straightforward application to general
oscillatory networks including neural networks in the brain.Comment: 9 pages, 5 figure
Quantum valence bond ice theory for proton-driven quantum spin-dipole liquids
We present a theory of a hybrid quantum liquid state, (QSDL), in a hydrogen-bonded electron system, by combining
a quantum proton ice and Anderson's resonating valence bond spin liquid theory,
motivated by the recent experimental discovery of a quantum spin liquid with
proton fluctuations in -H(Cat-EDT-TTF) (a.k.a. H-Cat). In our
theory, an electron spin liquid and a proton dipole liquid are realized
simultaneously in the ground state called .
In this state, neither of them can be established independently of the other.
Analytical and numerical calculations reveal that this state has a large
entanglement entropy between spins and dipoles, which is far beyond the (crude)
Born-Oppenheimer approximation. We also examine the stability of QSDL with
respect to perturbations and discuss implications for experiments in H-Cat and
its deuterated analog D-Cat.Comment: 9 pages, 7 figure
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