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On obligation rules for minimum cost spanning tree problems

Published:14 May 2010Publication History

ABSTRACT

Tijs et al. (2006) introduce the family of obligation rules in minimum cost spanning tree problems. We prove that obligation rules are closely related with the marginalistic values of the irreducible game. We also provide axiomatic characterizations of obligation rules with two basic monotonicity properties, namely population monotonicity (if new agents join a "society" no agent from the "initial society" can be worse off) and strong cost monotonicity (if a number of connection costs increase, no agent can be better off). In this class, the folk rule is the only allocation rule satisfying equal treatment of equals.

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      BQGT '10: Proceedings of the Behavioral and Quantitative Game Theory: Conference on Future Directions
      May 2010
      155 pages
      ISBN:9781605589190
      DOI:10.1145/1807406

      Copyright © 2010 ACM

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      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 14 May 2010

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