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Subjectivism and Economic Analysis: Essays in memory of Ludwig ...

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MAURIZIO CASERTAdef<strong>in</strong>ition seems to be that <strong>of</strong> endogenous change. The f<strong>in</strong>alimplication <strong>of</strong> this l<strong>in</strong>e <strong>of</strong> reason<strong>in</strong>g is that the notion <strong>of</strong> provisionalequilibrium is strengthened. When equilibrium is correctlyassociated with a process <strong>of</strong> learn<strong>in</strong>g, equilibrium by its very naturebecomes provisional.One may wonder at this po<strong>in</strong>t whether there is any differencebetween provisional equilibrium <strong>and</strong> Hahn’s equilibrium. Bothequilibria are disrupted by a change <strong>in</strong> the theory enterta<strong>in</strong>ed <strong>and</strong> <strong>in</strong>both cases no disequilibrium dynamics are spelled out. There is afundamental difference, however. Hahns equilibrium presupposesthat agents form theories that, however simple, are comprehensive,that is, theories which result from the process<strong>in</strong>g <strong>of</strong> all messagesreceived from the economy <strong>and</strong> nature. Provisional equilibrium, onthe other h<strong>and</strong>, does not rule out that a subset <strong>of</strong> messages, althoughperceived, are not processed or are just partially processed. Thismeans that a subset <strong>of</strong> messages is provisionally, as it were, put onone side, while a theory is formed on the basis <strong>of</strong> another subset <strong>of</strong>messages <strong>and</strong> acted upon. However, the process<strong>in</strong>g <strong>of</strong> the othersubset does not necessarily stop, so that a new theory may result atsome po<strong>in</strong>t <strong>in</strong> time. The new theory may or may not be compatiblewith the set <strong>of</strong> propositions the old theory consists <strong>of</strong>; as a result itmay or it may not <strong>in</strong>clude the material covered by the old theory.It should become clear then that while Hahn’s equilibrium can bedisrupted when the theory is sufficiently <strong>and</strong> systematically falsified,this is not a necessary requirement for provisional equilibrium to bedisrupted. Provisional equilibrium can be disrupted because thetheory that results from the ongo<strong>in</strong>g process <strong>of</strong> learn<strong>in</strong>g is notcompatible with the old one, regardless <strong>of</strong> whether the old theory isfalsified or not. Therefore, the notions <strong>of</strong> equilibrium <strong>and</strong>disequilibrium do not co<strong>in</strong>cide <strong>in</strong> the two different stories. WhileHahn’s equilibrium is not compatible with learn<strong>in</strong>g, provisionalequilibrium is; while Hahn’s disequilibrium orig<strong>in</strong>ates fromsystematic falsification <strong>of</strong> theories, disruption <strong>of</strong> provisionalequilibrium does not have to orig<strong>in</strong>ate from that.The important implication <strong>of</strong> this difference is that whereasdisruption <strong>of</strong> Hahn’s equilibrium represents a discont<strong>in</strong>uity <strong>in</strong> theprocess <strong>of</strong> learn<strong>in</strong>g that does not proceed smoothly, disruption <strong>of</strong>provisional equilibrium does not alter the fundamental unity <strong>of</strong> theprocess <strong>of</strong> learn<strong>in</strong>g. It is this fundamental unity that lies at the heart<strong>of</strong> provisional equilibrium <strong>and</strong> serves as its ma<strong>in</strong> dist<strong>in</strong>guish<strong>in</strong>gpo<strong>in</strong>t. But when it comes to economic analysis, is there anypossibility <strong>of</strong> discrim<strong>in</strong>at<strong>in</strong>g between the two notions? In other112

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