scholarly journals Relative affine structure: canonical model for 3D from 2D geometry and applications

1996 ◽  
Vol 18 (9) ◽  
pp. 873-883 ◽  
Author(s):  
A. Shashua ◽  
N. Navab
1985 ◽  
Vol 3 (1) ◽  
pp. 54-61
Author(s):  
Shekhar Mukherji
Keyword(s):  

2004 ◽  
Vol 11 (04) ◽  
pp. 359-375 ◽  
Author(s):  
R. F. Streater

Let H0 be a selfadjoint operator such that Tr e−βH0 is of trace class for some β < 1, and let χɛ denote the set of ɛ-bounded forms, i.e., ∥(H0+C)−1/2−ɛX(H0+C)−1/2+ɛ∥ < C for some C > 0. Let χ := Span ∪ɛ∈(0,1/2]χɛ. Let [Formula: see text] denote the underlying set of the quantum information manifold of states of the form ρx = e−H0−X−ψx, X ∈ χ. We show that if Tr e−H0 = 1. 1. the map Φ, [Formula: see text] is a quantum Young function defined on χ 2. The Orlicz space defined by Φ is the tangent space of [Formula: see text] at ρ0; its affine structure is defined by the (+1)-connection of Amari 3. The subset of a ‘hood of ρ0, consisting of p-nearby states (those [Formula: see text] obeying C−1ρ1+p ≤ σ ≤ Cρ1 − p for some C > 1) admits a flat affine connection known as the (−1) connection, and the span of this set is part of the cotangent space of [Formula: see text] 4. These dual structures extend to the completions in the Luxemburg norms.


2015 ◽  
Vol 5 (1) ◽  
Author(s):  
Saumil S. Patel ◽  
Stuart Red ◽  
Eric Lin ◽  
Anne B. Sereno

2008 ◽  
Vol 62 (1) ◽  
pp. 304-324 ◽  
Author(s):  
Aviad Heifetz ◽  
Martin Meier ◽  
Burkhard C. Schipper
Keyword(s):  

2011 ◽  
Vol 6 (2) ◽  
pp. 179-192 ◽  
Author(s):  
Lester M.K. Kwong

AbstractUsing a canonical model of signaling, we show that if the cost of organic viticulture is strictly increasing in the quality dimension, then the use of eco-labels as a signal for quality cannot possibly occur as an equilibrium outcome. Conditions for the existence of such a signalling equilibrium as well as some general properties regarding its configuration are herein characterized. (JEL Classification: L15, L66, M3)


2017 ◽  
Vol 63 (1) ◽  
pp. 18-30
Author(s):  
Roger Lee Mendoza

We examine in this article a frequently overlooked, if not ignored, premise underlying the canonical assurance game model: Hunters could potentially bag more than a single hare (or two) in place of the prized stag. Whether a risk-dominant equilibrium is necessarily inefficient or inferior to one that is assumed to be payoff-dominant is the question we seek to address. In doing so, we suggest plausible variations of the model with different game-theoretic realizations. Single-play illustrations drawn from robotic surgery underscore their practical implications for health care economics and management. The robotic technology revolution amplifies the rational and interactive choices available to players under conditions of risk and uncertainty. Like the canonical model, our illustrations involve insulated, self-interested actions arising from the presence or absence of trust and coordination among players. They differ from the canonical model by allowing for multiple, potentially cooperative equilibrium payoffs. Any cooperative action can be considered optimal if players coordinated on it, taking fully into account the quantifiable and multiplicable value of their second best strategies. Nonetheless, we suggest that any dominant solution/s should accommodate best evidence in health care to provide patients with the most suitable treatments and services. There lies the challenge in reconciling theory and practice in health economics. JEL Classifications: C70, C71, I11, I12


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