Implementation with coalition formation: a complete characterization
Article Abstract:
Coalition formation is presented and explained by differentiating between Nash and strong (Nash) implementations. The results of strong Nash implementation are applicable when agents in every group can form a coalition or cooperate, while those of Nash implementation are applicable when agents in no group can cooperate. An algorithm can be used to illustrate that the core, the definition of which is dependent on the possibility of a coalition, can be implemented in the equilibrium corresponding to the cooperation possibility.
Publication Name: The Journal of Mathematical Economics
Subject: Mathematics
ISSN: 0304-4068
Year: 1996
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An algorithm for checking strong Nash implementability
Article Abstract:
An extended version of an algorithm to verify Nash implementability is presented. For strong implementation, a modified version of an algorithm provided by Dutta and Sen (DS) is used as well as an important and sufficient but weaker condition than the one provided by DS. It is concluded that the use of a stronger version of Maskin monotonicity is not necessary to formulate an algoritm to verify strong Nash implementability.
Publication Name: The Journal of Mathematical Economics
Subject: Mathematics
ISSN: 0304-4068
Year: 1996
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The system stability of dynamic processes
Article Abstract:
New conditions for system stability in dynamic processes with multiple equilibria are obtained from existing conditions including Muldowney (1990), and are based on past conditions generated by Hirsch (1985) and Smith (1986). The theorems created by the conditions can be used in a variety of dynamic adjustment processes including global stability and local stability.
Publication Name: The Journal of Mathematical Economics
Subject: Mathematics
ISSN: 0304-4068
Year: 1998
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