
This research paper proves the existence of envy-free up to any good (EFX) allocations for any number of agents when there are at most three types of additive valuations.


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efx-allocations-exist-for-three-types-of-agents-with-additive-valuations


EFX Allocations Exist for Three Types of Agents with Additive Valuations


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While envy-free allocations are generally hard to find, graphical valuations offer a structured approach where envy-freeness can be achieved efficiently in some cases, but with potential trade-offs in welfare maximization, particularly as valuations become more complex.


envy-free-allocation-complexity-in-graphical-valuations-tractability-fairness-costs-and-welfare-optimization


Envy-Free Allocation Complexity in Graphical Valuations: Tractability, Fairness Costs, and Welfare Optimization



본 논문에서는 그래픽 평가에서 부러움 없는(EF) 할당과 부러움 없는 품목 할당(EFX)의 효율성 및 계산 복잡성을 분석하여, 특정 조건에서 EF 및 EFX 할당을 찾는 문제의 어려움과 가능성을 제시합니다.


그래픽-평가를-위한-무분별-할당-효율성과-부러움-없는-분배에-대한-연구


그래픽 평가를 위한 무분별 할당: 효율성과 부러움 없는 분배에 대한 연구
