The core of a further m-sided assignment game

Article Abstract:

An m-sided version of an assignment game known as the Shapley-Shubik housing market problem is presented. The version involves m types of different workers that are needed to produce a certain good. This is in contrast to an earlier model which required only two individuals. The problem involves the matching of economic resources with economic needs and the division of the outcomes. This type of game has an empty core which refers to the set of economic allocation where no group of agents are able to improve their outcome by themselves.

Linear programming, Game theory

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Stochastic decision making using multiplicative AHP

Article Abstract:

The multiplicative Analytical Hierarchy Process (MAHP) is a modification of the AHP which handles verbal comparative judgements via a logarithmic scale. The MAHP also uses the logarithmic least squares method to arrive at weights from the judgemental matrix. Weight derivation with MAHP is based on stochastic programming in which the likelihood values of weights are derived when the judgements are stochastic. Furthermore, maximum likelihood values can also be utilized for criteria aggregation with MAHP weights.

Usage, Stochastic analysis, Optimization theory, Mathematical programming

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A new PCCA method: IDRA

Article Abstract:

An innovative approach to solving multiple criteria decision making problems is presented. The new methodology is called the Intercriteria Decision Rule Approach (IDRA) which is founded on the principles of Pairwise Criterion Comparison Approach. IDRA is able to take into account all the intercriteria information given by the decision maker while allowing a recommendation to be formulated from partial intrercriteria information.

Multiple criteria decision making

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