Skip to main content

The Chain Store Paradox

  • Chapter

Part of the book series: Theory and Decision Library C ((TDLC,volume 2))

Abstract

The chain store game is a simple game in extensive form which produces an inconsistency between game theoretical reasoning and plausible human behavior. Wellinformed players must be expected to disobey game theoretical recommendations.

The chain store paradox throws new light on the well-known difficulties arising in connection with finïte repetitions of the prisoners’ dilemma game. Whereas these difficulties can be resolved by the assumption of secondary utilities arising in the course of playing the game, a similar approach to the chain store paradox is less satisfactory.

It is argued that the explanation of the paradox requires a limited rationality view of human decision behavior. For this purpose a three-level theory of decision making is developed, where decisions can be made on different levels of rationality. This theory explains why insight into the rational solution of a decision problem does not necessarily mean that the corresponding course of action will be taken.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Aumann, R. J., ‘Mixed and Behavior Strategies in Infinite Extensive Games’, in: M. Dresher, L. S. Shapley and A. W. Tucker (eds.), Advances in Game Theory, Annals of Mathematics Studies 52 (Princeton, 1964), pp. 627–650.

    Google Scholar 

  • Bush, R. R. and F. Mosteller, Stochastic Models for Learning (New York, 1955).

    Google Scholar 

  • Dollard, J. L. Doob, N. Miller, O. Mowres and R. Sears, Frustration and Agression (New Haven, 1939).

    Book  Google Scholar 

  • Evans, Gary W. and Charles M. Crumbaugh, ‘Effects of Prisoner’s Dilemma Format on Cooperative Behavior’, Journal of Personality and Social Psychology 6 (1966), pp. 486–488.

    Article  Google Scholar 

  • Festinger, L., A Theory of Cognitive Dissonance (Evanston ill., 1957).

    Google Scholar 

  • Guyer, Melvin, John Fox and Henry Hamburger, ‘Format Effects in the Prisoner’s Dilemma Game’, Journal of Conflict Resolution 17 (1973), pp. 719–743.

    Article  Google Scholar 

  • Kuhn, H. W., ‘Extensive Games and the Problem of Information’, in: H. W. Kuhn and A. W. Tucker (eds.), Contributions to the Theory of Games, Vol. II, Annals of Mathematics Studies 28 (Princeton, 1953), pp. 193 —216.

    Google Scholar 

  • Lave, Lester B., ‘An Empirical Approach to the Prisoner’s Dilemma’, Quarterly Journal of Economics 76 (1962), pp. 424–436.

    Google Scholar 

  • Lave, Lester B., ‘Factors Affecting Cooperation in the Prisoner’s Dilemma’, Behavioral Science 10 (1965), pp. 26 —3 8.

    Article  Google Scholar 

  • Luce, Duncan R. and Howard Raiffa, Games and Decisions (New York —London —Sidney, 1957).

    Google Scholar 

  • Morehous, L. G., ‘One-play, Two-play, Five-play and Ten-play Runs of Prisoner’s Dilemma’, Journal of Conflict Resolution 11 (1967), pp. 3 54 —36 2.

    Google Scholar 

  • Neumann, J.v. and O. Morgenstern, Theory of Games and Economic Behavior, Princeton, 1944.

    Google Scholar 

  • Pruitt, D. G., ‘Reward Structure and Cooperation: the Decomposed Prisoner’s Dilemma Game’, Journal of Personality and Social Psychology 7 (1967), pp. 21–27.

    Article  Google Scholar 

  • Pruitt, D. G., ‘Motivational Processes in the Decomposed Prisoner’s Dilemma Game’, Journal of Personality and Social Psychology 14 (1970), pp. 227–238.

    Article  Google Scholar 

  • Rapoport, Anatol and Philip S. Dale, ‘The “End” and “Start” Effects in the Iterated Prisoner’s Dilemma’, Journal of Conflict Resolution 11 (1967), pp. 354–462.

    Article  Google Scholar 

  • Restle, Frank and James G. Greeno, Introduction to Mathematical Psychology (Addison Wesley Publishing Company, 1970).

    Google Scholar 

  • Selten, R., ‘Bewertung strategischer Spiele’, Zeitschrift für die gesamte Staatwissenschaft (1960), pp. 221–282.

    Google Scholar 

  • Selten, R., ‘Valuation of n-Person Games’, in: Advances in Game Theory, Annals of Mathematics Studies 52 (Princeton N.J., 1964), pp. 565–578.

    Google Scholar 

  • Selten, R., ‘Spieltheoretische Behandlung eines Oligopolmodells mit Nachfrageträgheit’, Zeitschrift für die gesamte Staatswissenschaft 121 (1965), Teil I, pp. 301–324, Teil II, pp. 667–689.

    Google Scholar 

  • Selten, R., ‘An Oligopoly Model with Demand Inertia’, Working Paper No. 250 (Center for Research in Management Science, University of California, Berkeley, 1968).

    Google Scholar 

  • Selten, R., ‘A Simple Model of Imperfect Competition, Where 4 are Few and 6 are Many’, International Journal of Game Theory 2(1973), pp. 141–201.

    Article  Google Scholar 

  • Selten, R., ‘Reexamination of the Perfectness Concept for Equilibrium Points in Extensive Games’, International Journal of Game Theory 4(1975), pp. 25–55.

    Article  Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Selten, R. (1988). The Chain Store Paradox. In: Models of Strategic Rationality. Theory and Decision Library C, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7774-8_2

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-7774-8_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-8446-0

  • Online ISBN: 978-94-015-7774-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics