Geodesic
Proportionality in NTU Games: on a Consistent Proportional Solution
Contributions to game theory and management, Tome 3 (2010), pp. 313-321.

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The consistent proportional solution for NTU games is defined. It coincides with the status quo-proportional solution for two-person bargaining games, defined by the author earlier. The uniqueness theorem is proved.
Keywords: NTU games, consistent proportional solution, proportional excess, bargaining game, status quo-proportional bargaining solution, Kalai–Samet solution. 
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     author = {Sergei L. Pechersky},
     title = {Proportionality in {NTU} {Games:} on a {Consistent} {Proportional} {Solution}},
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     url = {http://geodesic.mathdoc.fr/item/CGTM_2010_3_a24/}
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Sergei L. Pechersky. Proportionality in NTU Games: on a Consistent Proportional Solution. Contributions to game theory and management, Tome 3 (2010), pp. 313-321. http://geodesic.mathdoc.fr/item/CGTM_2010_3_a24/

[1] Hart S., Mas-Colell A., “Potential, value, and consistency”, Econometrica, 57 (1989), 589–614 | DOI | MR | Zbl

[2] Kalai E., “Proportional solutions to bargaining situations: interpersonal utility comparision”, Econometrica, 45 (1977), 1623–1630 | DOI | MR | Zbl

[3] Kalai E., Samet D., “Monotonic solutions to general cooperative games”, Econometrica, 53 (1985), 307–327 | DOI | MR | Zbl

[4] Lensberg T., “Stability and the Nash solution”, J. Econ. Theory, 45 (1988), 330–341 | DOI | MR | Zbl

[5] Pechersky S., “Proportionality in NTU games: excesses and solutions”, Collected papers presented on the International Conference Game Theory and Management (St. Petersburg, 2007), Contributions to Game Theory and Management, 1, 394–412

[6] Pechersky S., “Proportionality in bargaining games: status quo-proportional solution and consistency”, Collected papers presented on the International Conference Game Theory and Management (St. Petersburg, 2009), Contributions to Game Theory and Management, 2, 334–343 | MR

[7] Rockafellar R. T., Convex analysis, Princeton University Press, Princeton, NJ, 1997 | MR | Zbl