In this paper, we show that the correspondence discovered by Koshevoy (1999) and, Johnson and Dean (1998) between anti-exchange closure operators and path independent choice operators is a duality between two semilattices of such operators. Then we use this duality to obtain old and new results concerning the "ordinal" representations of choice functions from the theory of anti-exchange closure operators.
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Find related papers by JEL classification: E65 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Studies of Particular Policy Episodes F01 - International Economics - - General - - - Global Outlook
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