In this paper, we show that the correspondence discovered by Koshevoy ([18]) and Johnson and Dean ([15],[16]) 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 results concerning the "ordinal" representations of path independent choice functions from the theory of anti-exchange closure operators.
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Find related papers by JEL classification: D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
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