Generalized gradients of monotone type

2004 ◽  
Vol 56 (2) ◽  
pp. 201-212
Author(s):  
Pandelis Dodos
Keyword(s):  
Generalized Gradients ◽  
Monotone Type

scholarly journals On the degree theory for general mappings of monotone type

2008 ◽  
Vol 340 (1) ◽  
pp. 707-720 ◽  
Author(s):  
Bui Trong Kien ◽  
Mu-Ming Wong ◽  
Ngai-Ching Wong
Keyword(s):  
Degree Theory ◽  
Monotone Type

scholarly journals Market equilibria and money

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Sjur Didrik Flåm
Keyword(s):  
Fixed Point ◽  
Steady State ◽  
Value Added ◽  
Pareto Optimal ◽  
Generalized Gradients ◽  
Market Mechanisms ◽  
Mathematical Arguments ◽  
Second Welfare Theorem ◽  
Market Equilibria ◽  
Welfare Theorem

AbstractBy the first welfare theorem, competitive market equilibria belong to the core and hence are Pareto optimal. Letting money be a commodity, this paper turns these two inclusions around. More precisely, by generalizing the second welfare theorem we show that the said solutions may coincide as a common fixed point for one and the same system.Mathematical arguments invoke conjugation, convolution, and generalized gradients. Convexity is merely needed via subdifferentiablity of aggregate “cost”, and at one point only.Economic arguments hinge on idealized market mechanisms. Construed as algorithms, each stops, and a steady state prevails if and only if price-taking markets clear and value added is nil.

scholarly journals Second order difference inclusions of monotone type

2012 ◽  
Vol 137 (2) ◽  
pp. 123-130
Author(s):  
G. Apreutesei ◽  
N. Apreutesei
Keyword(s):  
Second Order ◽  
Order Difference ◽  
Difference Inclusions ◽  
Monotone Type

scholarly journals On a solution of monotone type problems with uncertain inputs

2011 ◽  
Vol 48 (1) ◽  
pp. 145-152
Author(s):  
Luděk Nechvátal
Keyword(s):  
Type Problem ◽  
Existence Of A Solution ◽  
Scenario Method ◽  
Monotone Type

Abstract The paper deals with a nonlinear weak monotone type problem and its solution with respect to uncertain coefficients in the equation. The so- -called worst scenario method is adopted. The formulation of suitable conditions and a proof of the existence of a solution of the worst scenario problem is presented.

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