Implementation in generalized matching problems

Article Abstract:

The housing market and marriage problems, classified under generalized matching problems, were used to prove that there is a solution that is Pareto efficient, individually rational, and strategy-proof, provided that the core correspondence is single-valued. The existence of such solution brings back to mind the difficulties in getting strategy-proof solutions because the core correspondence is not always single-valued. It also provides important non-cooperative support for the core correspondence.

Management-Problem Solving, Management, Usage, Human resource management, Problem solving, Combinatorial analysis

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Corrigendum

Article Abstract:

Terminal date security prices can be equated to dividends by arbitrage if continuity of the normalized security price process at the terminal date is assumed. This is illustrated by an example of two securities with the same dividends from which a feasible trading strategy is determined based on a given security price system. Trading at the terminal date should be modeled. Nevertheless, equality will not be evident despite a continuous information structure.

Investment analysis, Securities analysis

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A model of random matching

Article Abstract:

A model of random matching between individuals selected from large populations is based on the assumptions that the populations and encounters are infinite but countable; the encounters are i.i.d. random variables; and there is a uniform probability distribution on the selection of individuals. The probability measure is not fully sigma-additive; however, it is continuous and therefore can be used for large numbers with reasonable certainty.

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