TY - GEN
T1 - EFX Allocations on Graphs
AU - Christodoulou, George
AU - Fiat, Amos
AU - Koutsoupias, Elias
AU - Sgouritsa, Alkmini
N1 - Publisher Copyright:
© 2023 ACM.
PY - 2023/7/9
Y1 - 2023/7/9
N2 - We study envy freeness up to any good (EFX) in settings where valuations can be represented via a graph of arbitrary size where vertices correspond to agents and edges to items. An item (edge) has zero marginal value to all agents (vertices) not incident to the edge. Each vertex may have an arbitrary monotone valuation on the set of incident edges. We first consider allocations that correspond to orientations of the edges, where we show that EFX does not always exist, and furthermore that it is NP-complete to decide whether an EFX orientation exists. Our main result is that (EFX) allocations exist for this setting. This is one of the few cases where EFX allocations are known to exist for more than 3 agents.
AB - We study envy freeness up to any good (EFX) in settings where valuations can be represented via a graph of arbitrary size where vertices correspond to agents and edges to items. An item (edge) has zero marginal value to all agents (vertices) not incident to the edge. Each vertex may have an arbitrary monotone valuation on the set of incident edges. We first consider allocations that correspond to orientations of the edges, where we show that EFX does not always exist, and furthermore that it is NP-complete to decide whether an EFX orientation exists. Our main result is that (EFX) allocations exist for this setting. This is one of the few cases where EFX allocations are known to exist for more than 3 agents.
KW - EFX allocations
KW - discrete fair division
UR - http://www.scopus.com/inward/record.url?scp=85168108197&partnerID=8YFLogxK
U2 - 10.1145/3580507.3597764
DO - 10.1145/3580507.3597764
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AN - SCOPUS:85168108197
T3 - EC 2023 - Proceedings of the 24th ACM Conference on Economics and Computation
SP - 473
EP - 488
BT - EC 2023 - Proceedings of the 24th ACM Conference on Economics and Computation
PB - Association for Computing Machinery, Inc
T2 - 24th ACM Conference on Economics and Computation, EC 2023
Y2 - 9 July 2023 through 12 July 2023
ER -