Empiriceme · Figure · Paradox

Centipede Game

Backward induction says defect immediately, yet real players cooperate for many rounds, so the logic and the behaviour diverge.

Rosenthal's 1981 game. Rational play says take the money immediately; experimental subjects cooperate for many rounds and do better. It is the standard evidence that backward induction fails as a description of behaviour.

In practice

  • Two firms in a renewable annual contract could each squeeze the other at any renewal and neither does, for eleven years.
  • A landlord and tenant both know the tenancy will end eventually, and neither behaves as though the last month is the only one that counts.
Further reading
Wikipedia
Subject
Games & Strategic Interaction
Essay
The recurring shapes of conflict and cooperation

Search every entry·Every entry, A to Z