🤖AI Summary
Researchers present new theoretical frameworks for fair allocation of indivisible goods when limited sharing is allowed among agents. The study introduces cost-sensitive sharing mechanisms and proves that maximin share (MMS) allocations can be guaranteed under specific conditions, while also establishing new fairness concepts like Sharing Maximin Share (SMMS).
Key Takeaways
- →Exact maximin share allocations are guaranteed when goods can be cost-sensitively shared among at least half of the agents with even numbers of participants.
- →The proposed Shared Bag-Filling Algorithm guarantees a (1-C)(k-1)-approximate MMS allocation where C is the maximum sharing cost.
- →A new fairness concept called Sharing Maximin Share (SMMS) is introduced as a natural extension of MMS to k-sharing settings.
- →SMMS allocations always exist under identical utilities and for two-agent instances, but universal existence is proven impossible.
- →The research establishes connections between SMMS and constrained MMS, providing approximation guarantees for fair resource allocation.
Mentioned in AI
Companies
Meta→
Read Original →via arXiv – CS AI
Act on this with AI
Stay ahead of the market.
Connect your wallet to an AI agent. It reads balances, proposes swaps and bridges across 15 chains — you keep full control of your keys.
Related Articles