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p(R) 0 R Figure 1: Free boundary under price uncertainty ô(R) 0 R Figure 2: Free boundary under policy uncertainty ô Delocate _ ô ~ ô ôo * ô j (td) Stay 0 * td * ô (td) * tdj Figure 3: Threshold policy parameter td p Delocate * p (td;ô,s) increase ô increase s Stay 0 td Figure 4: Relocation time policy
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