Essential properties of Lp,q spaces (the amalgams) and the implicit function theorem for equilibrium analysis in contin- uous time. Journal of Mathematical Economics 50, 187-196.Mertens, J.-F. and A. Rubinchik (2014). Essential properties of Lp,q spaces (the amalgams) and the implicit ...
For derivative function estimation, conventional research only focuses on the derivative estimation of one-dimensional functions. This paper considers part... J Kou,H Zhang - Axioms (2075-1680) 被引量: 0发表: 2024年 A general version of Price's theorem Assume that $X_{\\Sigma}\\in\\mathbb...
We shall characterize, in Theorem VI.5.1, subjective expected utility ... P Wakker - Springer Netherlands 被引量: 339发表: 1989年 Stochastic dominance and the maximization of expected utility In attempting to construct a general framework for the analysis of choice under uncertainty, researchers ...
Definition 1LetA,Bbe two nonempty subsets of a metric spaceMathMLandMathMLbe a function. We say that a nonself mappingMathMLisMathML-proximal admissible if, for allMathML, MathML Definition 2LetAandBbe nonempty subsets of a metric spaceMathMLandMathMLbe a function. ThenMathMLis said to b...
Our approach makes use of [14, Theorem 3.2] based on the pathwise calculus and allows us to obtain strong convergence with no limitations on T for a substantially larger class of noises. In fact, we require only Ho¨lder continuity of the noise and some moment condition on the ...
So, in view of Theorem 2.1, T has at least one fixed point lies in D¯. This shows there is at least one solution of the proposed system (1.1). □4 Stability results In this section, we will investigate the stability results in the sense of Ulam for the proposed system (1.1)....
J. Schwartz , On Nash's Implicit Function Theorem, Comm. Pure Appl. Math. 13 , 1960, pp. 509–530.Schwartz, Jacob, "On Nash's implicit functional theorem". Comm. Pure Appl. Math. 13 (1960) 509-530 Canada Research Chair in Mathematical Economics, University of British Columbia E-mail...
Lipschitz implicit function theoremSemi-inner productBanach spaceThis paper presents several Lipschitz implicit function theorems for maps between Banach spaces. The results use semi-inner products as a means for understanding the geometry of normed spaces. The arguments rely on corresponding geometric ...
Binding functionDelta methodExact biasImplicit continuous mapsIndirect inferenceMaximum likelihoodThe delta method and continuous mapping theorem are among the most extensively used tools in asymptotic derivations in econometrics. Extensions of these methods...
(5.9) Applying the vec operator and Roth's theorem to both sides gives vec 0 = N−1 T ⊗ Is dvec N + (Is ⊗ N) dvec N−1 (5.10) Solving for dvec N gives dvec N = N−1 T ⊗ Is −1 (Is ⊗ N) dvec U (5.11) To simplify this, it helps to know two ...