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Stable lexicographic rules for shortest path games

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  • Eric Bahel
  • Christian Trudeau

Abstract

For the class of shortest path games, we propose a family of new cost sharing rules satisfying core selection. These rules allocate cost shares to the players according to some lexicographic preference relation. The average of all such lexicographic rules is shown to satisfy many desirable properties (core selection, symmetry, demand additivity,...). Our method relates to what Tijs et. al (2011) refer to as the Alexia value. We propose a procedure allowing to compute these lexicographic allocations for any shortest path game.

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File URL: ftp://repec.econ.vt.edu/Papers/Bahel/shortestpathgames.pdf
File Function: First version, 2014
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Bibliographic Info

Paper provided by Virginia Polytechnic Institute and State University, Department of Economics in its series Working Papers with number e07-46.

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Length: 16 pages
Date of creation: 2014
Date of revision:
Handle: RePEc:vpi:wpaper:e07-46

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Related research

Keywords: shortest path; core; algorithm; lexicographic minima;

This paper has been announced in the following NEP Reports:

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