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Implementation with securities

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Author Info

  • Rahul Deb

    ()
    (University of Toronto)

  • Debasis Mishra

    ()
    (Indian Statistical Institute, New Delhi)

Abstract

We study mechanism design in a setting where agents know their types but are uncertain about the utility from any alternative. The lnal realized utility of each agent is observed by the principal and can be contracted upon. In such environments, the principal is not restricted to using only transfers but can employ security contracts which determine each agent's payoff as a function of their realized utility and the profile of announced types. We show that using security contracts instead of transfers expands the set of (dominant strategy) implementable social choice functions. Our main result is that in a lnite type space, every social choice function that can be implemented using a security contract can also be implemented using a royalty contract. Royalty contracts are simpler and commonly used security contracts, in which agents initially pay a transfer and keep a fraction of their realized utility. We also identify a condition called acyclicity that is necessary and suncient for implementation in these environments.

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Bibliographic Info

Paper provided by Indian Statistical Institute, New Delhi, India in its series Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers with number 13-05.

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Length: 28 pages
Date of creation: Apr 2013
Date of revision:
Handle: RePEc:ind:isipdp:13-05

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Keywords: dominant strategy implementation; acyclicity; security contracts; royalty contracts; cycle monotonicity;

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  1. Donald J. Brown & Caterina Calsamiglia, 2005. "The Nonparametric Approach to Applied Welfare Analysis," Cowles Foundation Discussion Papers 1507, Cowles Foundation for Research in Economics, Yale University.
  2. Jean Tirole & Jean-Jaques Laffont, 1985. "Using Cost Observation to Regulate Firms," Working papers 368, Massachusetts Institute of Technology (MIT), Department of Economics.
  3. Carbajal, Juan Carlos & McLennan, Andrew & Tourky, Rabee, 2013. "Truthful implementation and preference aggregation in restricted domains," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1074-1101.
  4. John G. Riley, 1986. "Ex Post Information in Auctions," UCLA Economics Working Papers 367, UCLA Department of Economics.
  5. Claudio Mezzetti, 2004. "Mechanism Design with Interdependent Valuations: Efficiency," Econometrica, Econometric Society, vol. 72(5), pages 1617-1626, 09.
  6. Yeon-Koo Che & Jinwoo Kim, 2010. "Bidding with Securities: Comment," American Economic Review, American Economic Association, vol. 100(4), pages 1929-35, September.
  7. Sushil Bikhchandani & Shurojit Chatterji & Ron Lavi & Ahuva Mu'alem & Noam Nisan & Arunava Sen, 2006. "Weak Monotonicity Characterizes Deterministic Dominant-Strategy Implementation," Econometrica, Econometric Society, vol. 74(4), pages 1109-1132, 07.
  8. Mishra, Debasis & Roy, Souvik, 2013. "Implementation in multidimensional dichotomous domains," Theoretical Economics, Econometric Society, vol. 8(2), May.
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