Existence of Equilibria

2002 ◽  
pp. 235-243
Author(s):  
Thorsten Hens ◽  
Beate Pilgrim
Keyword(s):  
Existence Of Equilibria

Existence of Equilibria in Auctions with Private Values

2010 ◽  
Author(s):  
Robert B. Wilson ◽  
Srihari Govindan
Keyword(s):  
Private Values ◽  
Existence Of Equilibria

scholarly journals Mathematical Analysis of an Epidemic-Species Hybrid Dynamical System

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Jing Hui ◽  
Jian-Hua Pang ◽  
Dong-Rong Lin
Keyword(s):  
Dynamical System ◽  
Hopf Bifurcation ◽  
Local Stability ◽  
Orbital Stability ◽  
Species Hybrid ◽  
Hybrid Dynamical System ◽  
Mathematical Analyses ◽  
Existence Of Equilibria ◽  
Impulsive Releasing ◽  
Infected Prey

We consider an epidemic-species hybrid dynamical system. The disease is spread among the prey only and the infected prey can reproduce virus. The predator only eats the infected prey. Mathematical analyses are given for the system with regard to the existence of equilibria, local stability, Hopf bifurcation, and the orbital stability of the Hopf bifurcating limit cycle. We further analyse the system under impulsive releasing of virus and predator.

scholarly journals Full substitutability

2019 ◽  
Vol 14 (4) ◽  
pp. 1535-1590 ◽  
Author(s):  
John William Hatfield ◽  
Scott Duke Kominers ◽  
Alexandru Nichifor ◽  
Michael Ostrovsky ◽  
Alexander Westkamp
Keyword(s):  
Production Capacity ◽  
Limited Liability ◽  
Indivisible Goods ◽  
Exchange Economies ◽  
New Class ◽  
Existence Of Equilibria

Various forms of substitutability are essential for establishing the existence of equilibria and other useful properties in diverse settings such as matching, auctions, and exchange economies with indivisible goods. We extend earlier models' definitions of substitutability to settings in which each agent can be both a buyer in some transactions and a seller in others, and show that all these definitions are equivalent. We then introduce a new class of substitutable preferences that allows us to model intermediaries with production capacity. We also prove that substitutability is preserved under economically important transformations such as trade endowments, mergers, and limited liability.

scholarly journals Equilibrium with fixed budgets and superlinear connections

2001 ◽  
Vol 42 (4) ◽  
pp. 462-480
Author(s):  
A. M. Rubinov ◽  
B. M. Glover
Keyword(s):  
Extremal Problems ◽  
Economic Equilibrium ◽  
Differential Properties ◽  
Existence Of Equilibria

AbstractWe study models of economic equilibrium with fixed budgets and assuming superlinear connections between consumption and production. Extremal problems and the existence of equilibria are discussed for such models along with some related differential properties. Examples to illustrate the broad nature of the model are discussed.

scholarly journals On the existence of equilibria in noncooperative optimal flow control

1995 ◽  
Vol 42 (3) ◽  
pp. 584-613 ◽  
Author(s):  
Yannis A. Korilis ◽  
Aurel A. Lazar
Keyword(s):  
Flow Control ◽  
Optimal Flow ◽  
Optimal Flow Control ◽  
Existence Of Equilibria

GENETIC LOADS IN HETEROGENEOUS ENVIRONMENTS

Genetics ◽  
1975 ◽  
Vol 80 (3) ◽  
pp. 621-635
Author(s):  
Charles E Taylor
Keyword(s):  
Population Structure ◽  
Genetic Variation ◽  
Gene Frequency ◽  
Phase Plane ◽  
Genetic Load ◽  
Sufficient Conditions ◽  
Heterogeneous Environments ◽  
Niche Space ◽  
Necessary And Sufficient ◽  
Existence Of Equilibria

ABSTRACT A model of population structure in heterogeneous environments is described with attention focused on genetic variation at a single locus. The existence of equilibria at which there is no genetic load is examined.—The absolute fitness of any genotype is regarded as a function of location in the niche space and the population density at that location. It is assumed that each organism chooses to live in that habitat in which it is most fit ("optimal habitat selection").—Equilibria at which there is no segregational load ("loadless equilibria") may exist. Necessary and sufficient conditions for the existence of such equilibria are very weak. If there is a sufficient amount of dominance or area in which the alleles are selectively neutral, then there exist equilibria without segregational loads. In the N, p phase plane defined by population size, N, and gene frequency, p, these equilibria generally consist of a line segment which is parallel to the p axis. These equilibria are frequently stable.

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