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Demeze-Jouatsa, Ghislain-Herman: Essays on finitely repeated games. 2019
Inhalt
Introduction
Contribution
A first example
A second example
A third example: The benefit of the ambiguity
A complete folk theorem for finitely repeated games
Introduction
Model and definitions
The Stage-game
The Finitely Repeated Game
Main result
Discussion and extension
Case of the Nash solution
Alternative statement of Theorem 1 and Theorem 2
Case with discounting
Relation with the literature
Conclusion
Appendix 1: Proof of the Complete perfect folk theorem
On the existence of the limit set of the set of pure strategy subgame perfect Nash equilibrium payoff vectors of the finitely repeated game
The recursive feasibility of pure strategy subgame perfect Nash equilibrium payoff vectors of the finitely repeated game
Necessity of the recursive effective minimax payoff for the complete perfect folk theorem
Sufficiency of the recursive feasibility and the recursive effective individual rationality
Appendix 2: Proof of the complete Nash folk theorem
On the existence of the limit set of the set of pure strategy Nash equilibrium payoff vectors of the finitely repeated game
On the Nash feasibility of pure strategy Nash equilibrium payoff vectors of the finitely repeated game
Proof of Theorem 2
Appendix 3: In case there exists a discount factor
A note on ``Necessary and sufficient conditions for the perfect finite horizon folk theorem" [Econometrica, 63 (2): 425-430, 1995.
Introduction
The counter-example
The stage-game
The five-phase strategy of Smith
The payoff asymmetry family
Length of phases
Smith's strategy
A profitable deviation from
Intuition behind the failure of Smith's proof
Smith's model
The stage-game
The finitely-repeated game
A proof of Smith's folk theorem
Proof of intermediate results
Repetition and cooperation: A model of finitely repeated games with objective ambiguity
Introduction
The Model
The stage-game
The initial stage-game
The Ellsberg game
Priliminary results on the Ellsberg game
Further notations
The finitely repeated game
Main result and discussion
Statement of the main result
Discussion
Conclusion
Appendix 4: Proofs
Sketch of the proof of Theorem 6
The payoff continuation lemma for finitely repeated games
The end-game-strategy
Proof of the Theorem 6
Infinitely repeated games with discounting. What changes if players are allowed to use imprecise devices.
Introduction
The stage game
The infinitely repeated game
Conclusion