# Optimal growth models and the Lagrange multiplier

Article Abstract:

The details regarding the subjective conditions on the objective functional and the constraint functions are provided. The Lagrangean to infinite dimensional spaces is extended and sufficient conditions are provided for Lagrangean to be represented by a summable sequence of multipliers in infinite discrete time horizon optimal growth models.

Publication Name: The Journal of Mathematical Economics

Subject: Mathematics

ISSN: 0304-4068

Year: 2004

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# A theory of quantifiable beliefs

Article Abstract:

The theory of quantifiable beliefs is developed that includes the state-dependent expected utility model of Karni and Schmeidler and the state-independent non-expected utility model of Machina and Schmeidler, as its special cases. This theory is flexible enough to admit recursivity in the decision making process.

Publication Name: The Journal of Mathematical Economics

Subject: Mathematics

ISSN: 0304-4068

Year: 2004

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# Rationalizing allocation data-a nonparametric Walrasian theory when prices are absent or non-Walrasian

Article Abstract:

A nonparametric Walrasian theory is developed for the allocation of data. A general framework for deriving conditions on data sets is developed in terms of linear programs that characterize utility-based solution-based solution concepts.

Publication Name: The Journal of Mathematical Economics

Subject: Mathematics

ISSN: 0304-4068

Year: 2004

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