Minimum cost spanning tree games and population monotonic allocation schemes

Article Abstract:

The subtraction algorithm that computes a population monotonic allocation scheme for every classical minimum cost spanning tree game is presented. It is proved that the subtraction algorithm is closely related to the famous algorithm of Kruskal for the determination of minimum cost spanning trees.

Algorithms, Algorithm, Population forecasting

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Hypercubes and compromise values for cooperative fuzzy games

Article Abstract:

The Weber set and the path solution cover are introduced for cooperative fuzzy games with a non-empty core hypercubes catching the core. The bounding vectors of these hypercubes are used to define compromise values.

Methods, Fuzzy algorithms, Fuzzy logic, Game theory, Fuzzy systems, Audiometry, Hearing tests

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Obligation rules for minimum cost spanning tree situations and their monotonicity properties

Article Abstract:

A study on minimum cost spanning tree makes a stochastic analysis to examine cost allocation in monotonic allocation schemes.

Netherlands, Usage, Stochastic analysis, Monotonic functions, Allocation (Accounting)

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