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ffordable when x* is chosen. x* is not affordable when y* is chosen. z is not affordable when x* is chosen. x* is not affordable when y* is chosen. So x* and z cannot be pared directly. Indirect Preference Revelation x2 x1 x* y* z But x*x* y* z is not affordable when x* is chosen. x* is not affordable when y* is chosen. So x* and z cannot be pared directly. Indirect Preference Revelation x2 x1 x* y* z D p But x*x* y* and y* z z is not affordable when x* is chosen. x* is not affordable when y* is chosen. So x* and z cannot be pared directly. Indirect Preference Revelation x2 x1 x* y* z D p D p z is not affordable when x* is chosen. x* is not affordable when y* is chosen. So x* and z cannot be pared directly. Indirect Preference Revelation x2 x1 x* y* z But x*x* y* and y*