Two support results for the Kalai-Smorodinsky solution in small object division markets

Haake C-J (2009)
MATHEMATICAL SOCIAL SCIENCES 57(2): 177-187.

Journal Article | Published | English

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Abstract
We discuss two support results for the Kalai-Smorodinsky bargaining solution in the context of an object division problem involving two agents. Strategic interaction determines an allocation of objects, so that evaluation with individual utilities constitute the pay-offs in the derived games. These allocations of objects are obtained through individual demand in a specific market for objects. For the first support result, games in strategic form are derived that exhibit a unique Nash equilibrium and equilibrium payoffs equal the Kalai-Smorodinsky solution of the underlying bargaining problem. The second result uses subgame perfect equilibria of a game in extensive form. Again, payoffs in any subgame perfect equilibrium coincide with the Kalai-Smorodinsky solution. (C) 2008 Elsevier B.V. All rights reserved.
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Haake C-J. Two support results for the Kalai-Smorodinsky solution in small object division markets. MATHEMATICAL SOCIAL SCIENCES. 2009;57(2):177-187.
Haake, C. - J. (2009). Two support results for the Kalai-Smorodinsky solution in small object division markets. MATHEMATICAL SOCIAL SCIENCES, 57(2), 177-187.
Haake, C. - J. (2009). Two support results for the Kalai-Smorodinsky solution in small object division markets. MATHEMATICAL SOCIAL SCIENCES 57, 177-187.
Haake, C.-J., 2009. Two support results for the Kalai-Smorodinsky solution in small object division markets. MATHEMATICAL SOCIAL SCIENCES, 57(2), p 177-187.
C.-J. Haake, “Two support results for the Kalai-Smorodinsky solution in small object division markets”, MATHEMATICAL SOCIAL SCIENCES, vol. 57, 2009, pp. 177-187.
Haake, C.-J.: Two support results for the Kalai-Smorodinsky solution in small object division markets. MATHEMATICAL SOCIAL SCIENCES. 57, 177-187 (2009).
Haake, Claus-Jochen. “Two support results for the Kalai-Smorodinsky solution in small object division markets”. MATHEMATICAL SOCIAL SCIENCES 57.2 (2009): 177-187.
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