Mixing
Difference between SPE and SPNE in Game Theory
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I am slightly confused as to what the difference between Subgame Perfect Equilibrium and Subgame Perfect Nash Equilibrium is.
I was told there is a difference, but now I found many lecture notes that use the terms as substitutes.
Thank you!
definition game-theory nash-equilibrium
asked Jan 24 '18 at 11:51
student92student92
11
$endgroup$
add a comment |
$begingroup$
I am slightly confused as to what the difference between Subgame Perfect Equilibrium and Subgame Perfect Nash Equilibrium is.
I was told there is a difference, but now I found many lecture notes that use the terms as substitutes.
Thank you!
definition game-theory nash-equilibrium
asked Jan 24 '18 at 11:51
student92student92
11
$endgroup$
$begingroup$
There is no difference.
$endgroup$
– Michael Greinecker♦
Jan 24 '18 at 22:18
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All subgame perfect equilibria are Nash equilibria, but not vice versa. Check if your notes were discussing SPE vs NE.
$endgroup$
– mlc
Jan 24 '18 at 22:44
$begingroup$
I really mean SPE and SPNE. But I got you, thanks for your help!
$endgroup$
– student92
Jan 25 '18 at 22:29
add a comment |
$begingroup$
I am slightly confused as to what the difference between Subgame Perfect Equilibrium and Subgame Perfect Nash Equilibrium is.
I was told there is a difference, but now I found many lecture notes that use the terms as substitutes.
Thank you!
definition game-theory nash-equilibrium
asked Jan 24 '18 at 11:51
student92student92
11
$endgroup$
I am slightly confused as to what the difference between Subgame Perfect Equilibrium and Subgame Perfect Nash Equilibrium is.
I was told there is a difference, but now I found many lecture notes that use the terms as substitutes.
Thank you!
definition game-theory nash-equilibrium
definition game-theory nash-equilibrium
asked Jan 24 '18 at 11:51
student92student92
11
asked Jan 24 '18 at 11:51
student92student92
11
asked Jan 24 '18 at 11:51
student92student92
11
asked Jan 24 '18 at 11:51
student92student92
11
asked Jan 24 '18 at 11:51
student92student92
11
11
$begingroup$
There is no difference.
$endgroup$
– Michael Greinecker♦
Jan 24 '18 at 22:18
$begingroup$
All subgame perfect equilibria are Nash equilibria, but not vice versa. Check if your notes were discussing SPE vs NE.
$endgroup$
– mlc
Jan 24 '18 at 22:44
$begingroup$
I really mean SPE and SPNE. But I got you, thanks for your help!
$endgroup$
– student92
Jan 25 '18 at 22:29
add a comment |
$begingroup$
There is no difference.
$endgroup$
– Michael Greinecker♦
Jan 24 '18 at 22:18
$begingroup$
All subgame perfect equilibria are Nash equilibria, but not vice versa. Check if your notes were discussing SPE vs NE.
$endgroup$
– mlc
Jan 24 '18 at 22:44
$begingroup$
I really mean SPE and SPNE. But I got you, thanks for your help!
$endgroup$
– student92
Jan 25 '18 at 22:29
$begingroup$
There is no difference.
$endgroup$
– Michael Greinecker♦
Jan 24 '18 at 22:18
$begingroup$
There is no difference.
$endgroup$
– Michael Greinecker♦
Jan 24 '18 at 22:18
$begingroup$
All subgame perfect equilibria are Nash equilibria, but not vice versa. Check if your notes were discussing SPE vs NE.
$endgroup$
– mlc
Jan 24 '18 at 22:44
$begingroup$
All subgame perfect equilibria are Nash equilibria, but not vice versa. Check if your notes were discussing SPE vs NE.
$endgroup$
– mlc
Jan 24 '18 at 22:44
$begingroup$
I really mean SPE and SPNE. But I got you, thanks for your help!
$endgroup$
– student92
Jan 25 '18 at 22:29
$begingroup$
I really mean SPE and SPNE. But I got you, thanks for your help!
$endgroup$
– student92
Jan 25 '18 at 22:29
add a comment |
1 Answer
1
active
oldest
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$begingroup$
The two terms, SPE and SPNE, refer to exactly the same equilibrium concept in game theory, i.e. a strategy profile that induces a NE in every subgame.
On Wikipedia:
In game theory, a subgame perfect equilibrium (or subgame perfect Nash equilibrium) is a refinement of a Nash equilibrium used in dynamic games. A strategy profile is a subgame perfect equilibrium if it represents a Nash equilibrium of every subgame of the original game.
answered Feb 1 '18 at 21:18
Herr K.Herr K.
5881617
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
The two terms, SPE and SPNE, refer to exactly the same equilibrium concept in game theory, i.e. a strategy profile that induces a NE in every subgame.
On Wikipedia:
In game theory, a subgame perfect equilibrium (or subgame perfect Nash equilibrium) is a refinement of a Nash equilibrium used in dynamic games. A strategy profile is a subgame perfect equilibrium if it represents a Nash equilibrium of every subgame of the original game.
answered Feb 1 '18 at 21:18
Herr K.Herr K.
5881617
$endgroup$
add a comment |
$begingroup$
The two terms, SPE and SPNE, refer to exactly the same equilibrium concept in game theory, i.e. a strategy profile that induces a NE in every subgame.
On Wikipedia:
In game theory, a subgame perfect equilibrium (or subgame perfect Nash equilibrium) is a refinement of a Nash equilibrium used in dynamic games. A strategy profile is a subgame perfect equilibrium if it represents a Nash equilibrium of every subgame of the original game.
answered Feb 1 '18 at 21:18
Herr K.Herr K.
5881617
$endgroup$
add a comment |
$begingroup$
The two terms, SPE and SPNE, refer to exactly the same equilibrium concept in game theory, i.e. a strategy profile that induces a NE in every subgame.
On Wikipedia:
In game theory, a subgame perfect equilibrium (or subgame perfect Nash equilibrium) is a refinement of a Nash equilibrium used in dynamic games. A strategy profile is a subgame perfect equilibrium if it represents a Nash equilibrium of every subgame of the original game.
answered Feb 1 '18 at 21:18
Herr K.Herr K.
5881617
$endgroup$
The two terms, SPE and SPNE, refer to exactly the same equilibrium concept in game theory, i.e. a strategy profile that induces a NE in every subgame.
On Wikipedia:
In game theory, a subgame perfect equilibrium (or subgame perfect Nash equilibrium) is a refinement of a Nash equilibrium used in dynamic games. A strategy profile is a subgame perfect equilibrium if it represents a Nash equilibrium of every subgame of the original game.
answered Feb 1 '18 at 21:18
Herr K.Herr K.
5881617
answered Feb 1 '18 at 21:18
Herr K.Herr K.
5881617
answered Feb 1 '18 at 21:18
Herr K.Herr K.
5881617
answered Feb 1 '18 at 21:18
Herr K.Herr K.
5881617
5881617
add a comment |
add a comment |
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$begingroup$
There is no difference.
$endgroup$
– Michael Greinecker♦
Jan 24 '18 at 22:18
$begingroup$
All subgame perfect equilibria are Nash equilibria, but not vice versa. Check if your notes were discussing SPE vs NE.
$endgroup$
– mlc
Jan 24 '18 at 22:44
$begingroup$
I really mean SPE and SPNE. But I got you, thanks for your help!
$endgroup$
– student92
Jan 25 '18 at 22:29