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Spieltheorie II SS 2005 Avner Shaked.

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Presentation on theme: "Spieltheorie II SS 2005 Avner Shaked."— Presentation transcript:

1 Spieltheorie II SS 2005 Avner Shaked

2 Game Theory II SS 2005 Avner Shaked

3

4 Game Theory II K. Binmore Fun & Games A Text on Game Theory D.C. Heath & Co., 1992

5 Game Theory II M. Osborne & A. Rubinstein Bargaining and Markets Academic Press, 1990

6 Game Theory II K. Binmore Fun & Games A Text on Game Theory D.C. Heath & Co., 1992 M. Osborne & A. Rubinstein Bargaining and Markets Academic Press, 1990

7 Nash Bargaining Theory Nash Verhandlungstheorie
A Bargaining Problem S - a feasible set d - a disagreement point John Nash

8 Nash Bargaining Theory
u2 u1 S

9 Nash Bargaining Theory
bounded u2 u1 S closed

10 Nash Bargaining Theory
u2 u1 S B A

11 Nash Bargaining Theory
u2 u1 S d

12 Nash Bargaining Theory
u2 u1 S d

13 Nash Bargaining Theory
A Nash Bargaining Solution is a function u2 u1 S d

14 Nash Bargaining Theory
A Nash Bargaining Solution is a function u2 u1 S d

15 Axioms A1-A4 A1 (Pareto) d S A2 (Symmetry)

16 A3 (Invariance to affine transformation)
Axioms A1-A4 A3 (Invariance to affine transformation) A4 (Independence of Irrelevant Alternatives IIA)

17 A4 (Independence of Irrelevant Alternatives IIA)
Axioms A1-A4 A4 (Independence of Irrelevant Alternatives IIA) u2 u1 d

18 A4 (Independence of Irrelevant Alternatives IIA)
Axioms A1-A4 A4 (Independence of Irrelevant Alternatives IIA) Gives f(T,d) a flavour of maximum IIA is violated when Pasta Fish Meat


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