Arbeitspapier

The Classification of Continuation Probabilities

It is known that the only subgame perfect equilibrium for finitely repeated Prisoner's Dilemna games consists of "defecting" in every round. Finitely repeated games are only representative of a class of indefinitely repeated games where the sole subgame perfect equilibrium is noncooperative. This broader class of repeated games with "quasifinite" continuation probabilities is defined. A matrix inequality is recalled that when solved by a cooperation vector, induces a subgame perfect equilibrium. A condition for continuation probabilities indicates when this matrix inequality can be satisfied at equality by a cooperation vector. The associated strategy is a cooperative subgame perfect equilibrium.

Language
Englisch

Bibliographic citation
Series: Discussion Paper ; No. 1137

Classification
Wirtschaft

Event
Geistige Schöpfung
(who)
Jones, Michael A.
Event
Veröffentlichung
(who)
Northwestern University, Kellogg School of Management, Center for Mathematical Studies in Economics and Management Science
(where)
Evanston, IL
(when)
1995

Handle
Last update
10.03.2025, 11:45 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Jones, Michael A.
  • Northwestern University, Kellogg School of Management, Center for Mathematical Studies in Economics and Management Science

Time of origin

  • 1995

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