Arrow theorems in mixed goods, stochastic, and dynamic economic environments

The original Arrow Theorem and many variants were stated with the Universal Domain assumption; but in economic situations, natural assumptions like monotonicity restrict the domain so that the Theorem does not apply. Since 1979, several authors have proved Arrow-type impossibility results in situations such as models with public goods or private goods; and a few have considered mixed-goods or stochastic alternatives models. This paper has similar results in models with mixed-goods, stochastic, and dynamic alternatives; the objects of preference can have any two features or all three. With suitable qualifications, the impossibility result continues to hold, as does the Arrow-inconsistency of arbitrarily small domains type of result I have established elsewhere.