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- Exact_division abstract "An exact division (also called: even division or consensus division) is a division of a heterogeneous resource ("cake") to several subsets such that each of n people with different tastes agree about the valuations of the pieces.For example, consider a cake which is half chocolate and half vanilla. Alice values only the chocolate and George values only the vanilla. The cake is divided to three pieces: one piece contains 20% of the chocolate and 20% of the vanilla, the second contains 50% of the chocolate and 50% of the vanilla, and the third contains the rest of the cake. This is a consensus division, as both Alice and George value the three pieces as 20%, 50% and 10% respectively.As the example illustrates, a consensus division is not necessarily fair. For example, if the 20% piece is given to Alice and the 50% is given to George, this is obviously unfair to Alice. In the theory of cake, consensus divisions are often used as subroutines for creating fair divisions.Consensus divisions always exist, but they cannot be found by discrete protocols (with a finite number of queries). In some cases, exact divisions can be found by moving-knife protocols. Near-exact divisions can be found by discrete protocols.".
- Exact_division wikiPageID "18951803".
- Exact_division wikiPageLength "30583".
- Exact_division wikiPageOutDegree "36".
- Exact_division wikiPageRevisionID "682206051".
- Exact_division wikiPageWikiLink Austin_moving-knife_procedure.
- Exact_division wikiPageWikiLink Austin_moving-knife_procedures.
- Exact_division wikiPageWikiLink Borsuk-Ulam_theorem.
- Exact_division wikiPageWikiLink Borsuk–Ulam_theorem.
- Exact_division wikiPageWikiLink Category:Fair_division.
- Exact_division wikiPageWikiLink Closed_set.
- Exact_division wikiPageWikiLink Compact_set.
- Exact_division wikiPageWikiLink Compact_space.
- Exact_division wikiPageWikiLink Convex_set.
- Exact_division wikiPageWikiLink Dimension.
- Exact_division wikiPageWikiLink Entitlement_(fair_division).
- Exact_division wikiPageWikiLink Envy-free_cake-cutting.
- Exact_division wikiPageWikiLink Equitable_division.
- Exact_division wikiPageWikiLink Fair_cake-cutting.
- Exact_division wikiPageWikiLink Fair_division.
- Exact_division wikiPageWikiLink Ham_sandwich_theorem.
- Exact_division wikiPageWikiLink Hobby–Rice_theorem.
- Exact_division wikiPageWikiLink Hyperplane.
- Exact_division wikiPageWikiLink Incentive_compatibility.
- Exact_division wikiPageWikiLink Incentive_compatible.
- Exact_division wikiPageWikiLink Intermediate_value_theorem.
- Exact_division wikiPageWikiLink Lyapunov_vector-measure_theorem.
- Exact_division wikiPageWikiLink Measurable.
- Exact_division wikiPageWikiLink Measure_(mathematics).
- Exact_division wikiPageWikiLink Mechanism_design.
- Exact_division wikiPageWikiLink Necklace_splitting_problem.
- Exact_division wikiPageWikiLink Noga_Alon.
- Exact_division wikiPageWikiLink Pareto_efficiency.
- Exact_division wikiPageWikiLink Pareto_efficient.
- Exact_division wikiPageWikiLink Problem_of_the_Nile.
- Exact_division wikiPageWikiLink Proportional_division.
- Exact_division wikiPageWikiLink Robertson-Webb_protocol.
- Exact_division wikiPageWikiLink Robertson–Webb_protocol.
- Exact_division wikiPageWikiLink Stone-Tukey_theorem.
- Exact_division wikiPageWikiLink Stone–Tukey_theorem.
- Exact_division wikiPageWikiLink Tuckers_lemma.
- Exact_division wikiPageWikiLink Vector_measure.
- Exact_division wikiPageWikiLinkText "Exact division".
- Exact_division wikiPageWikiLinkText "Exact division#Impossibility".
- Exact_division wikiPageWikiLinkText "Exact division#Near-exact division - n partners - discrete procedure".
- Exact_division wikiPageWikiLinkText "Exact division#Near-exact division".
- Exact_division wikiPageWikiLinkText "exact division".
- Exact_division hasPhotoCollection Exact_division.
- Exact_division wikiPageUsesTemplate Template:Math.
- Exact_division wikiPageUsesTemplate Template:Mvar.
- Exact_division wikiPageUsesTemplate Template:Reflist.
- Exact_division subject Category:Fair_division.
- Exact_division hypernym Division.
- Exact_division type Organisation.
- Exact_division comment "An exact division (also called: even division or consensus division) is a division of a heterogeneous resource ("cake") to several subsets such that each of n people with different tastes agree about the valuations of the pieces.For example, consider a cake which is half chocolate and half vanilla. Alice values only the chocolate and George values only the vanilla.".
- Exact_division label "Exact division".
- Exact_division sameAs m.04jnjpc.
- Exact_division sameAs Q5419221.
- Exact_division sameAs Q5419221.
- Exact_division wasDerivedFrom Exact_division?oldid=682206051.
- Exact_division isPrimaryTopicOf Exact_division.