6,339 research outputs found
Cooperation and equity in the river sharing problem
This paper considers environments in which several agents (countries, farmers, cities) share water from a river. Each agent enjoys a concave benefit function from consuming water up to a satiation level. Noncooperative extraction is typically inefficient and any group of agents can gain if they agree on how to allocate water with monetary compensations. The paper describes which allocations of water and money are acceptable to riparian agents according to core stability and several criteria of fairness. It reviews some theoretical results. It then discusses the implementation of the proposed allocation with negotiation rules and in water markets. Lastly, it provides some policy insights.WATER ALLOCATION;GAME;CORE;WATER MARKET;NEGOTIATION;RULES;EXTERNALITIES
Sharing a river among satiable countries
With diminishing global water reserves the problem of water allocation becomes increasingly important. We consider the problem of efficiently sharing a river among a group of satiable countries. Inducing countries to efficiently cooperate requires monetary compensations via international agreements. We show that cooperation of the other countries exerts a positive externality on the benefit of a coalition. Our problem is to distribute the benefit of efficiently sharing the river under these constraints. If the countries outside of a coalition do not cooperate at all, then the downstream incremental distribution is the unique compromise between the absolute territorial sovereignty (ATS) doctrine and the unlimited territorial integrity (UTI) doctrine. If all countries outside a coalition cooperate, then there may not exist any distribution satisfying the UTI doctrine.WATER ALLOCATION;EXTERNALITIES
Incorporation of Spacetime Symmetries in Einstein's Field Equations
In the search for exact solutions to Einstein's field equations the main
simplification tool is the introduction of spacetime symmetries. Motivated by
this fact we develop a method to write the field equations for general matter
in a form that fully incorporates the character of the symmetry. The method is
being expressed in a covariant formalism using the framework of a double
congruence. The basic notion on which it is based is that of the geometrisation
of a general symmetry. As a special application of our general method we
consider the case of a spacelike conformal Killing vector field on the
spacetime manifold regarding special types of matter fields. New perspectives
in General Relativity are discussed.Comment: 41 pages, LaTe
The damping of gravitational waves in dust
We examine a simple model of interaction of gravitational waves with matter
(primarily represented by dust). The aim is to investigate a possible damping
effect on the intensity of gravitational wave when passing through media. This
might be important for gravitational wave astronomy when the sources are
obscured by dust or molecular clouds.Comment: 7 pages, accepted to Phys. Sc
Threshold Strategy-Proofness: On Manipulability in Large Voting Problems
In voting problems where agents have well behaved (Lipschitz continuous) utility functions on a multidimensional space of alternatives, a voting rule is threshold strategy-proof if any agent can only obtain a limited utility gain by not voting for a most preferred alternative,given that the number of agents is large enough. For anonymous voting rules it is shown that this condition is not only implied by but in fact equivalent to the influence of any single agent reducing to zero as the number of agents grows. If there are at least five agents, the mean rule (taking the average vote) is shown to be the unique anonymous and unanimous voting rule that meets a lower bound with respect to the number of agents needed to obtain threshold strategy-proofness.Economics ;
Advanced surface paneling method for subsonic and supersonic flow
Numerical results illustrating the capabilities of an advanced aerodynamic surface paneling method are presented. The method is applicable to both subsonic and supersonic flow, as represented by linearized potential flow theory. The method is based on linearly varying sources and quadratically varying doublets which are distributed over flat or curved panels. These panels are applied to the true surface geometry of arbitrarily shaped three dimensional aerodynamic configurations
Conformal Gravity with Electrodynamics for Fermion Fields and their Symmetry Breaking Mechanism
In this paper we consider an axial torsion to build metric-compatible
connections in conformal gravity, with gauge potentials; the geometric
background is filled with Dirac spinors: scalar fields with suitable potentials
are added eventually. The system of field equations is worked out to have
torsional effects converted into spinorial self-interactions: the massless
spinors display self-interactions of a specific form that gives them the
features they have in the non-conformal theory but with the additional
character of renormalizability, and the mechanisms of generation of mass and
cosmological constants become dynamical. As a final step we will address the
cosmological constant and coincidence problems.Comment: 13 page
Materials review for improved automotive gas turbine engine
The potential role of superalloys, refractory alloys, and ceramics in the hottest sections of engines operating with turbine inlet temperatures as high as 1370 C is examined. The convential superalloys, directionally solidified eutectics, oxide dispersion strenghened alloys, and tungsten fiber reinforced superalloys are reviewed and compared on the basis of maximum turbine blade temperature capability. Improved high temperature protective coatings and special fabrication techniques for these advanced alloys are discussed. Chromium, columbium, molybdenum, tantalum, and tungsten alloys are also reviewed. Molbdenum alloys are found to be the most suitable for mass produced turbine wheels. Various forms and fabrication processes for silicon nitride, silicon carbide, and SIALON's are investigated for use in highstress and medium stress high temperature environments
Further Extended Theories of Gravitation: Part I
We shall here propose a class of relativistic theories of gravitation, based
on a foundational paper of Ehlers Pirani and Schild (EPS).All "extended
theories of gravitation" (also known as f(R) theories) in Palatini formalism
are shown to belong to this class. In a forthcoming paper we shall show that
this class of theories contains other more general examples. EPS framework
helps in the interpretation and solution of these models that however have
exotic behaviours even compared to f(R) theories.Comment: 10 pages. Some refs adde
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