HZ pricing equilibria and earnings equilibria are equivalent, so the Hylland-Zeckhauser framework carries over from goods to chores and mixed manna.
Strategyproof multi-item exchange under si ngle-minded dichotomous preferences
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Matching Markets with Chores
HZ pricing equilibria and earnings equilibria are equivalent, so the Hylland-Zeckhauser framework carries over from goods to chores and mixed manna.