Dai, Darong (2012): On the existence and stability of Pareto optimal endogenous matching with fairness.

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Abstract
In the current paper, we study the asymmetric normalform game between two heterogeneous groups of populations by employing the stochastic replicator dynamics driven by Lévy process. A new game equilibrium, i.e., the game equilibrium of a stochastic differential cooperative game on time, is derived by introducing optimalstopping technique into evolutionary game theory, which combines with the Pareto optimal standard leads us to the existence of Pareto optimal endogenous matching. Moreover, stability of the Pareto optimal endogenous matching is confirmed by essentially using the wellknown Girsanov Theorem.
Item Type:  MPRA Paper 

Original Title:  On the existence and stability of Pareto optimal endogenous matching with fairness 
English Title:  On the Existence and Stability of Pareto Optimal Endogenous Matching with Fairness 
Language:  English 
Keywords:  Stochastic differential cooperative game on time; Pareto optimal endogenous matching; Stable matching; Fairness; Induced game equilibrium; Stochastic replicator dynamics; Adaptive learning 
Subjects:  C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C78  Bargaining Theory ; Matching Theory C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C70  General C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62  Existence and Stability Conditions of Equilibrium 
Item ID:  40457 
Depositing User:  darong dai 
Date Deposited:  04 Aug 2012 02:37 
Last Modified:  01 Oct 2016 23:10 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/40457 