Monotone Comparative Statics in Ordered Vector Spaces
نویسندگان
چکیده
منابع مشابه
Monotone Comparative Statics in Ordered Vector Spaces
This paper considers ordered vector spaces with arbitrary closed cones and establishes a number of characterization results with applications to monotone comparative statics (Topkis (1978), Topkis (1998), Milgrom and Shannon (1994)). By appealing to the fundamental theorem of calculus for the Henstock-Kurzweil integral, we generalize existing results on increasing differences and supermodularit...
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We consider the comparative statics of solutions to parameterized optimization problems. A geometric method is developed for finding a vector field that, at each point in the parameter space, indicates a direction in which monotone comparative statics obtains. Given such a vector field, we provide sufficient conditions under which the problem can be reparameterized on the parameter space (or a ...
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This paper analyzes monotone comparative statics predictions in several classes of stochastic optimization problems. The main results characterize necessary and sufficient conditions for comparative statics predictions to hold based on properties of primitive functions, that is, utility functions and probability distributions. The results apply when the primitives satisfy one of the following t...
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Given an optimization problem indexed by some parameter θ, comparative statics seeks a qualitative understanding of how the solution changes with θ. If, for example, wages decrease, does a firm hire more labor? One way to obtain results of this type is to assume (or use the Implicit Function theorem to establish the existence of) a differentiable solution function, and then, having substituted ...
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This study deals with comparative statics of the consumer’s demand. According to Lancaster [1966, Journal of Political Economy ], a utility function should be defined on the set of all characteristics that affect well-being of the consumer and these characteristics should be derived by consuming commodities. We show the sufficient condition for monotone comparative statics of the demand for cha...
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ژورنال
عنوان ژورنال: The B.E. Journal of Theoretical Economics
سال: 2007
ISSN: 1935-1704,2194-6124
DOI: 10.2202/1935-1704.1142