General equilibrium and the theory of directed graphs

Article Abstract:

New results from the classical Arrow-Debreu theorem for a general equilibrium if the required assumption of positive endowments of all commodities by all consumers is eased off for a type of economic models where utility functions and manufacturing probability sets are restricted to certain forms are discussed. A direct graph that relates the origin of goods and profits to the consumers is drawn for every model, and it is confirmed that the existence of a competitive equilibrium is akin to the strong connectedness of the graph.

Econometrics & Model Building, Econometrics, Equilibrium (Economics), Business models

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A general existence result for the principal-agent problem with adverse selection

Article Abstract:

Research is presented describing the study of adverse selection criteria and the development of an incentive compatible model.

Methods, Economic methods

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A general Lagrangian approach for non-concave moral hazard problems

Article Abstract:

Research is presented describing the study of moral hazard situations to determine the best Lagrangian approach.

Lagrange equations

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