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Commitment and observability in a contracting environment

Author

Listed:
  • Bhaskar, V.
Abstract
This paper examines leader-follower games where a leader must purchase an essential input from a price-setting supplier in order to take an action. We show that equilibrium outcomes when the followers perfectly observe the leaders' actions cannot be approximated by mixed equilibrium outcomes of the game where followers imperfectly observe the leaders' actions, i.e. they are not accessible. Accessibility fails since in a pure strategy equilibrium, a supplier makes positive profits; however in an equilibrium where a leader randomizes, supplier profits must be zero. Our result follows from a generalized indifference principle that mixed strategies must satisfy in economic environments. While supplier profits cannot be approximated, player action profiles are accessible. Our results also apply to games with costly observation.

Suggested Citation

  • Bhaskar, V., 2009. "Commitment and observability in a contracting environment," Games and Economic Behavior, Elsevier, vol. 66(2), pages 708-720, July.
  • Handle: RePEc:eee:gamebe:v:66:y:2009:i:2:p:708-720
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    References listed on IDEAS

    as
    1. Bagwell, Kyle, 1995. "Commitment and observability in games," Games and Economic Behavior, Elsevier, vol. 8(2), pages 271-280.
    2. Bhaskar, V. & van Damme, Eric, 2002. "Moral Hazard and Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 16-39, January.
    3. Guth, Werner & Kirchsteiger, Georg & Ritzberger, Klaus, 1998. "Imperfectly Observable Commitments inn-Player Games," Games and Economic Behavior, Elsevier, vol. 23(1), pages 54-74, April.
    4. Morgan, John & Vardy, Felix, 2007. "The value of commitment in contests and tournaments when observation is costly," Games and Economic Behavior, Elsevier, vol. 60(2), pages 326-338, August.
    5. Giovanni Maggi, 1999. "The Value of Commitment with Imperfect Observability and Private Information," RAND Journal of Economics, The RAND Corporation, vol. 30(4), pages 555-574, Winter.
    6. van Damme, Eric & Hurkens, Sjaak, 1997. "Games with Imperfectly Observable Commitment," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 282-308, October.
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    Cited by:

    1. Brishti Guha, 2017. "Costly Leader Games with a Probabilistically Non-Strategic Leader," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(02), pages 1-14, June.
    2. Bhaskar, Venkataraman, 2013. "Dynamic Countervailing Power under Public and Private Monitoring," CEPR Discussion Papers 9526, C.E.P.R. Discussion Papers.
    3. Nataša Pomazalová & Zbyšek Korecki, 2011. "Evaluation of tendered prices of natural mineral water, juice and non-alcoholic beer (public procurement research)," Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, Mendel University Press, vol. 59(4), pages 233-240.

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