Jan 15, 2024 · In this paper, we prove that an MMS allocation exists if m \leq n+5 and there exists a goods agent, a non-negative mixed agent, or only chores agents.

Jan 15, 2024 · In this paper, we prove that an MMS allocation exists if m ≤ n + 5 m n 5 m\leq n+5 italic_m ≤ italic_n + 5 and there exists a goods agent, a non ...

Specifically, MMS allocations of goods exist whenever m ≤ n+5, and this bound is tight in the sense that they can fail to exist when m = n+6. The techniques ...

Oct 19, 2024 · Specifically, MMS allocations of goods exist whenever m ≤ n+5, and this bound is tight in the sense that they can fail to exist when m = n+6.

In this paper we initiate the study of finding fair and efficient allocations of an indivisible mixed manna: Divide m indivisible items among n agents under ...

The existence of MMS allocations in mixed manna settings is closely related to other fairness notions and solution concepts in game theory and economics. Some ...

Sep 4, 2024 · Maximin share (MMS) allocations are a popular relaxation of envy-free allocations that have received wide attention in the context of the ...

Article "Existence of MMS Allocations with Mixed Manna" Detailed information of the J-GLOBAL is an information service managed by the Japan Science and ...

Also, the allocation determining the MMS value for any agent is an MMS allocation. Hence when the agents are iden- tical MMS allocations always exist. However, ...

In this paper, we first show that, for any fixed 𝛼 ∈ (0, 1], an 𝛼-MMS allocation may not always exist; in contrast, non-existence with a goods manna is known ...