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On the Bayes Risk Induced by Alternative Design Priors for Sample Size Choice
In a decision-theoretic framework, criteria for selecting the optimal sample size for an experiment can be based on the Bayes risk of a decision...
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Dually flat structure of binary choice models
In this study, we consider parametric binary choice models from the perspective of information geometry. The set of models is a dually flat manifold...
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Duality in optimal consumption–investment problems with alternative data
This study investigates an optimal consumption–investment problem in which the unobserved stock trend is modulated by a hidden Markov chain that...
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A safe sequential screening technique for solving multi-attribute choice problems under ranked weights
Despite the increasing complexity of real-world multi-attribute decision-making (MADM) situations, the decision-makers have no problems in providing...
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A Theoretical Comparison of Alternative Male Mating Strategies in Cephalopods and Fishes
We used computer simulations of growth, mating and death of cephalopods and fishes to explore the effect of different life-history strategies on the...
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How Do Coalitions Break Down? An Alternative View
We propose an alternative dynamic theory of coalition breakdown. Motivated by recent coalition-splitting events of unilateral country withdrawals, we...
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Explainer: Ranked choice voting
In the subject called social choice theory, we regard electoral systems (like plurality voting in districts) as sets of rules that convert ballots...
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A graph theoretical approach to decisions in social choice, law, A.I.
Graph theory proved to be a quite powerful mathematical tool to model several problems in a discrete setting. In this paper the authors illustrate...
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Existence of Compromise States in the Competition of Alternative Opponents in the Presence of External Support
Models of dynamical conflict systems (DCS) are studied for a pair of alternative opponents competing for presence in different regions of the...
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What If We Had No Choice?
On the pages of this book, we have seen a variety of approaches used in attempts to settle the chromatic number of the plane problem (CNP). Tools...
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A minimal and non-alternative realisation of the Cayley plane
The compact 16-dimensional Moufang plane, also known as the Cayley plane, has traditionally been defined through the lens of octonionic geometry. In...
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Affinely representable lattices, stable matchings, and choice functions
Birkhoff’s representation theorem (Birkhoff, Duke Math J 3(3):443–454, 1937) defines a bijection between elements of a distributive lattice and the...
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A generic functional inequality and Riccati pairs: an alternative approach to Hardy-type inequalities
We present a generic functional inequality on Riemannian manifolds, both in additive and multiplicative forms, that produces well known and genuinely...
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Alternative extension of the Hager–Zhang conjugate gradient method for vector optimization
Recently, Gonçalves and Prudente proposed an extension of the Hager–Zhang nonlinear conjugate gradient method for vector optimization (Comput Optim...
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Restructuring of the Model “State–Probability of Choice” Based on Products of Stochastic Rectangular Matrices
To analyze the individual and collective behavior of agents, a “state–probability of choice” model is proposed, based on considering the...
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C-Weibit Discrete Choice Model: A Path Based Approach
In traffic assignment a key role is played by the path choice that simulate the path chosen by users in relation to the perceived costs. Various...
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Optimality Conditions Based on Theorems of the Alternative
In this chapter we prove again Fritz John (FJ) conditions (and then KKT conditions, under constraint qualifications) following the geometric approach...
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Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Systems with Non-conservative Products
Higher order finite difference Weighted Essentially Non-oscillatory (WENO) schemes for conservation laws represent a technology that has been...
