Subgame perfect equilibrium with continuous reaction functions

1990 ◽  
Vol 2 (4) ◽  
pp. 304-324 ◽  
Author(s):  
James W Friedman ◽  
Larry Samuelson
Keyword(s):  
Subgame Perfect Equilibrium ◽  
Perfect Equilibrium ◽  
Reaction Functions ◽  
Continuous Reaction

Step-by-Step: The Subgame-Perfect Equilibrium

2020 ◽  
pp. 125-140
Author(s):  
Manfred J. Holler ◽  
Barbara Klose-Ullmann
Keyword(s):  
Subgame Perfect Equilibrium ◽  
Perfect Equilibrium

Quantifying Commitment in Nash Equilibria

2019 ◽  
Vol 21 (02) ◽  
pp. 1940011
Author(s):  
Thomas A. Weber
Keyword(s):  
Nash Equilibrium ◽  
Normal Form ◽  
Nash Equilibria ◽  
Dynamic Game ◽  
Subgame Perfect Equilibrium ◽  
Canonical Extension ◽  
Perfect Equilibrium ◽  
Form Game ◽  
Normal Form Game ◽  
The Given

To quantify a player’s commitment in a given Nash equilibrium of a finite dynamic game, we map the corresponding normal-form game to a “canonical extension,” which allows each player to adjust his or her move with a certain probability. The commitment measure relates to the average overall adjustment probabilities for which the given Nash equilibrium can be implemented as a subgame-perfect equilibrium in the canonical extension.

Continuous Reaction Functions in Duopolies

1994 ◽  
Vol 6 (1) ◽  
pp. 55-82 ◽  
Author(s):  
James W. Friedman ◽  
Larry Samuelson
Keyword(s):  
Reaction Functions ◽  
Continuous Reaction

Field Centipedes

2009 ◽  
Vol 99 (4) ◽  
pp. 1619-1635 ◽  
Author(s):  
Ignacio Palacios-Huerta ◽  
Oscar Volij
Keyword(s):  
Field Experiment ◽  
Laboratory Experiment ◽  
Experimental Evidence ◽  
Subgame Perfect Equilibrium ◽  
Perfect Equilibrium ◽  
Previous Evidence ◽  
Chess Players

In the centipede game, all standard equilibrium concepts dictate that the player who decides first must stop the game immediately. There is vast experimental evidence, however, that this rarely occurs. We first conduct a field experiment in which highly ranked chess players play this game. Contrary to previous evidence, our results show that 69 percent of chess players stop immediately. When we restrict attention to Grandmasters, this percentage escalates to 100 percent. We then conduct a laboratory experiment in which chess players and students are matched in different treatments. When students play against chess players, the outcome approaches the subgame-perfect equilibrium. (JEL C72, C93)

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