Project games |
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Authors: | Arantza Estévez-Fernández Peter Borm Herbert Hamers |
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Institution: | (1) Centrum voor Wiskunde en Informatica, Kruislaan 413, 1098 SJ Amsterdam, The Netherlands;(2) CentER and Department of Econometrics and Operations Research, Tilburg University, P.O.Box 90153, 5000 LE Tilburg, The Netherlands |
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Abstract: | This paper studies situations in which a project consisting of several activities is not executed as planned. It is divided
into three parts. The first part analyzes the case where the activities may be delayed, this possibly induces a delay on the
project as a whole with additional costs. Associated delayed project games are defined and are shown to have a nonempty core.
The second part considers the case where the activities may be expedited, this possibly induces an expedition of the project
as a whole creating profits. Corresponding expedited project games are introduced and are shown to be convex. The third and
last part studies situations where some activities may be delayed and some activities may be expedited. Related project games
are defined and shown to have a nonempty core.
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Keywords: | Project planning Delay Expedition Cooperative game Convexity |
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