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On The Chinese Postman Game

In: ICM Millennium Lectures on Games

Author

Listed:
  • Daniel Granot

    (University of British Columbia, Faculty of Commerce)

  • Herbert Hamers

    (Tilburg University, Center and Department of Econometrics)

  • Jeroen Kuipers

    (University of Maastricht, Dept. of Mathematics)

  • Michael Maschler

    (The Hebrew University of Jerusalem, Department of Mathematics and Center for Rationality and Interactive Decision Theory)

Abstract

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.

Suggested Citation

  • Daniel Granot & Herbert Hamers & Jeroen Kuipers & Michael Maschler, 2003. "On The Chinese Postman Game," Springer Books, in: Leon A. Petrosyan & David W. K. Yeung (ed.), ICM Millennium Lectures on Games, pages 297-303, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-05219-8_18
    DOI: 10.1007/978-3-662-05219-8_18
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