Harsanyi Solutions in Line-graph Games
Abstract
Recently, applications of cooperative game theory to economic allocation problems have gained popularity. To understand these applications better, economic theory studies the similarities and differences between them. The purpose of this paper is to investigate a special class of cooperative games that generalizes some recent economic applications with a similar structure. These are so-called line-graph games being cooperative TU-games in which the players are linearly ordered. Examples of situations that can be modeled like this are sequencing situations, water distribution situations and political majority voting. The main question in cooperative game models of economic situations is how to allocate the earnings of coalitions among the players. We apply the concept of Harsanyi solution to line-graph games. We define four properties that each selects a unique Harsanyi solution from the class of all Harsanyi solutions. One of these solutions is the well-known Shapley value which is widely applied in economic models. We apply these solutions to the economic situations mentioned above.Download Info
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Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 03-076/1.Length:
Date of creation: 29 Sep 2003
Date of revision:
Handle: RePEc:dgr:uvatin:20030076
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Related research
Keywords: TU-game; Harsanyi dividends; Shapley value; sharing system; Harsanyi solution; line-graph game.;Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2003-10-20 (All new papers)
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Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- René Brink & Gerard Laan & Vitaly Pruzhansky, 2011.
"Harsanyi power solutions for graph-restricted games,"
International Journal of Game Theory,
Springer, vol. 40(1), pages 87-110, February.
- René van den Brink & Gerard van der Laan & Vitaly Pruzhansky, 2004. "Harsanyi Power Solutions for Graph-restricted Games," Tinbergen Institute Discussion Papers 04-095/1, Tinbergen Institute.
- René van den Brink, 2003. "Axiomatizations of Permission Values for Games with a Hierarchical Permission Structure using Split Neutrality," Tinbergen Institute Discussion Papers 03-100/1, Tinbergen Institute.
- Lei Li & Xueliang Li, 2011. "The covering values for acyclic digraph games," International Journal of Game Theory, Springer, vol. 40(4), pages 697-718, November.
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