Find the SPNE for the centipede game. Centipede game: Two players, 1 and 2, take turns choosing one of two actions each time, continue or stop. They both start with $1 in their respective piles, and each time i says continue, $1 is taken away from his pile, and $2 are added to the other player's pile. The game automatically stops when both players have $100 in their respective piles.

Microeconomics: Principles & Policy
14th Edition
ISBN:9781337794992
Author:William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:William J. Baumol, Alan S. Blinder, John L. Solow
Chapter13: Between Competition And Monopoly
Section: Chapter Questions
Problem 10DQ
icon
Related questions
Question

Find the SPNE for the centipede game.

Centipede game: Two players, 1 and 2, take turns choosing one of two actions each time, continue or stop. They both start with $1 in their respective piles, and each time i says continue, $1 is taken away from his pile, and $2 are added to the other player's pile. The game automatically stops when both players have $100 in their respective piles.

Find the SPNE for the centipede game:
Centipede Game: Two players, 1 and 2, take turns choosing one of two actions
each time, continue or stop.
They both start with $1 in their respective piles, and each time i says continue, $1
is taken away from his pile, and $2 are added to the other player's pile. The game
automatically stops when both players have $100 in their respective piles.
100,100
S
S
S
S
1,1
0,3
2,2
97,100
99,99
98, 101
Transcribed Image Text:Find the SPNE for the centipede game: Centipede Game: Two players, 1 and 2, take turns choosing one of two actions each time, continue or stop. They both start with $1 in their respective piles, and each time i says continue, $1 is taken away from his pile, and $2 are added to the other player's pile. The game automatically stops when both players have $100 in their respective piles. 100,100 S S S S 1,1 0,3 2,2 97,100 99,99 98, 101
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Bayesian Nash Equilibrium
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Microeconomics: Principles & Policy
Microeconomics: Principles & Policy
Economics
ISBN:
9781337794992
Author:
William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:
Cengage Learning
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Microeconomics A Contemporary Intro
Microeconomics A Contemporary Intro
Economics
ISBN:
9781285635101
Author:
MCEACHERN
Publisher:
Cengage
Exploring Economics
Exploring Economics
Economics
ISBN:
9781544336329
Author:
Robert L. Sexton
Publisher:
SAGE Publications, Inc
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning