November 9, 2025Open Access

Introspectively Envy-Free and Efficient Allocation of Indivisible Mixed Manna

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Allocations are Pareto efficient for indivisible mixed manna, leading to fair outcomes.
Fair division principles are extended from indivisible chores to mixed manna cases.
Analysis emphasizes the role of the Knaster-Kuratowski-Mazurkiewicz Theorem in finding solutions.
Implications could improve theoretical understanding and practical algorithm deployments.

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Implication

This work demonstrates the existence of fair and Pareto efficient allocations in indivisible mixed manna, suggesting advancements may enhance fair division approaches.

Cite This Study

Barman et al. (2025) studied this question.

synapsesocial.com/papers/690fdcdaf60c54d04ea37f71 https://doi.org/10.48550/arxiv.2509.18673

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Implication

This work demonstrates the existence of fair and Pareto efficient allocations in indivisible mixed manna, suggesting advancements may enhance fair division approaches.

Introspectively Envy-Free and Efficient Allocation of Indivisible Mixed Manna

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Discussion

Implication

Cite This Study

Introspectively Envy-Free and Efficient Allocation of Indivisible Mixed Manna

Key Points

Discussion

Implication

Cite This Study

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