Veto theorems with expansion consistency conditions and without the weak Pareto principle

1988 ◽  
Vol 15 (1) ◽  
pp. 73-80 ◽  
Author(s):  
Ruvin Gekker
Keyword(s):  
Pareto Principle ◽  
Consistency Conditions ◽  
Weak Pareto Principle

scholarly journals THE IMPOSSIBILITY OF A PARETIAN REPUBLICAN? SOME COMMENTS ON PETTIT AND SEN

2004 ◽  
Vol 20 (1) ◽  
pp. 65-87 ◽  
Author(s):  
Christian List
Keyword(s):  
Social Choice ◽  
Pareto Principle ◽  
Domain Restriction ◽  
Liberal Paradox ◽  
Philip Pettit ◽  
Weak Pareto Principle ◽  
Universal Domain

Philip Pettit (2001) has suggested that there are parallels between his republican account of freedom and Amartya Sen's (1970) account of freedom as decisive preference. In this paper, I discuss these parallels from a social-choice-theoretic perspective. I sketch a formalization of republican freedom and argue that republican freedom is formally very similar to freedom as defined in Sen's “minimal liberalism” condition. In consequence, the republican account of freedom is vulnerable to a version of Sen's liberal paradox, an inconsistency between universal domain, freedom, and the weak Pareto principle. I argue that some standard escape routes from the liberal paradox – those via domain restriction – are not easily available to the republican. I suggest that republicans need to take seriously the challenge of the impossibility of a Paretian republican.

EQUAL VALUE OF LIFE AND THE PARETO PRINCIPLE

2004 ◽  
Vol 20 (1) ◽  
pp. 19-33 ◽  
Author(s):  
Andreas Hasman ◽  
Lars Peter Østerdal
Keyword(s):  
Social Preference ◽  
Value Of Life ◽  
Social Value ◽  
Pareto Principle ◽  
Age Dependent ◽  
Weak Pareto Principle

A principle claiming equal entitlement to continued life has been strongly defended in the literature as a fundamental social value. We refer to this principle as ‘equal value of life'. In this paper we argue that there is a general incompatibility between the equal value of life principle and the weak Pareto principle and provide proof of this under mild structural assumptions. Moreover we demonstrate that a weaker, age-dependent version of the equal value of life principle is also incompatible with the weak Pareto principle. However, both principles can be satisfied if transitivity of social preference is relaxed to quasi-transitivity.

scholarly journals Bootstrap bounds on closed Einstein manifolds

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
James Bonifacio ◽  
Kurt Hinterbichler
Keyword(s):  
Compact Riemannian Manifold ◽  
Tree Level ◽  
Conformal Field Theories ◽  
Einstein Manifolds ◽  
Consistency Conditions ◽  
Conformal Field ◽  
Geometric Data ◽  
Conformal Bootstrap ◽  
Laplacian Operators ◽  
Kaluza Klein

Abstract A compact Riemannian manifold is associated with geometric data given by the eigenvalues of various Laplacian operators on the manifold and the triple overlap integrals of the corresponding eigenmodes. This geometric data must satisfy certain consistency conditions that follow from associativity and the completeness of eigenmodes. We show that it is possible to obtain nontrivial bounds on the geometric data of closed Einstein manifolds by using semidefinite programming to study these consistency conditions, in analogy to the conformal bootstrap bounds on conformal field theories. These bootstrap bounds translate to constraints on the tree-level masses and cubic couplings of Kaluza-Klein modes in theories with compact extra dimensions. We show that in some cases the bounds are saturated by known manifolds.

scholarly journals Drawing transmission graphs for COVID-19 in the perspective of network science

2020 ◽  
Vol 148 ◽  
Author(s):  
N. Gürsakal ◽  
B. Batmaz ◽  
G. Aktuna
Keyword(s):  
Probability Distribution ◽  
Network Science ◽  
Pareto Distribution ◽  
Transmission Probability ◽  
Transmission Network ◽  
Pareto Principle ◽  
Infected People ◽  
Discrete Pareto Distribution ◽  
Local Transmission

Abstract When we consider a probability distribution about how many COVID-19-infected people will transmit the disease, two points become important. First, there could be super-spreaders in these distributions/networks and second, the Pareto principle could be valid in these distributions/networks regarding estimation that 20% of cases were responsible for 80% of local transmission. When we accept that these two points are valid, the distribution of transmission becomes a discrete Pareto distribution, which is a kind of power law. Having such a transmission distribution, then we can simulate COVID-19 networks and find super-spreaders using the centricity measurements in these networks. In this research, in the first we transformed a transmission distribution of statistics and epidemiology into a transmission network of network science and second we try to determine who the super-spreaders are by using this network and eigenvalue centrality measure. We underline that determination of transmission probability distribution is a very important point in the analysis of the epidemic and determining the precautions to be taken.

scholarly journals String defects, supersymmetry and the Swampland

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Carlo Angelantonj ◽  
Quentin Bonnefoy ◽  
Cezar Condeescu ◽  
Emilian Dudas
Keyword(s):  
Supersymmetry Breaking ◽  
Dimensional Theory ◽  
Consistency Conditions ◽  
Tensor Multiplet ◽  
Microscopic Origin

Abstract Recently, Kim, Shiu and Vafa proposed general consistency conditions for six dimensional supergravity theories with minimal supersymmetry coming from couplings to strings. We test them in explicit perturbative orientifold models in order to unravel the microscopic origin of these constraints. Based on the perturbative data, we conjecture the existence of null charges Q∙Q = 0 for any six-dimensional theory with at least one tensor multiplet, coupling to string defects of charge Q. We then include the new constraint to exclude some six-dimensional supersymmetric anomaly-free examples that have currently no string or F-theory realization. We also investigate the constraints from the couplings to string defects in case where supersymmetry is broken in tachyon free vacua, containing non-BPS configurations of brane supersymmetry breaking type, where the breaking is localized on antibranes. In this case, some conditions have naturally to be changed or relaxed whenever the string defects experience supersymmetry breaking, whereas the constraints are still valid if they are geometrically separated from the supersymmetry breaking source.

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