Serial and parallel value iteration algorithms for discounted Markov decision processes

Article Abstract:

The efficiency of serial-based Markov decision process value iteration solution algorithms are evaluated. Corresponding parallel algorithms are then developed which are proven to be more effective by a factor of from 8 to 14 times when implemented on a 16-processor based parallel processing system. The conversion has also resulted in increased system memories, enabling the use of the algorithms in larger problems than previously possible.

Decision-making, Decision making, Evaluation, Algorithms, Markov processes, Parallel processing

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Core, least core and nucleolus for multiple scenario cooperative games

Article Abstract:

Multiple scenario cooperative games arise in managerial and public decision making of allocating a bundle of goods among a set of individuals under different scenarios. This multiple scenario cooperative games differ from conventional cooperative games and cooperative multicriteria games. The relationship among the solution concepts - core, least core and nucleolus - for multiple scenario cooperative games are proposed and analyzed.

United Kingdom, Multiple criteria decision making, Analysis, Comparative analysis, Games of strategy (Mathematics)

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Does cooperation in auditing matter? A comparison of a non-cooperative and a cooperative game model of auditing

Article Abstract:

An analysis of a game model of auditing that includes internal control investigation and substantive testings is presented. The game model has been analyzed as a non-cooperative game. It was found that it is important to adjust the cost structure to improve the costs of not-qualifying erroneous accounts if auditors can prove they worked hard.

Accounting Methods NEC, Models, Usage, Accounting, Auditing, Game theory

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