Summary
The paper examines an extended model of the Chinese Postman (CP) game which allows for prizes and public edges, that is, edges not belonging to any of the players. The prizes, which are associated with the edges, are collected only upon the first traversal of the edges, and their inclusion in the model is analogous to the introduction of prizes in the traveling salesmen problem. A class of CP-games induced by Eulerian graphs, without public edges, having the 4-cut property is analyzed. In particular, it is shown that both the core and nucleolus are the Cartesian products of the cores and nucleoli of CP-games defined on cycle graphs, which are induced by elementary subpaths in the original graph. Moreover, for CP-games induced by Eulerian graphs having the 4-cut property, but without public edges, one can test core membership in linear time and the nucleolus can be computed in quadratic time.
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© 2003 Springer-Verlag Berlin Heidelberg
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Granot, D., Hamers, H., Kuipers, J., Maschler, M. (2003). On The Chinese Postman Game. In: Petrosyan, L.A., Yeung, D.W.K. (eds) ICM Millennium Lectures on Games. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05219-8_18
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DOI: https://doi.org/10.1007/978-3-662-05219-8_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05618-5
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