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Achievable outcomes of dynamic contribution games

  • Matthews, Steven A.

    ()

    (Department of Economics, University of Pennsylvania)

This paper concerns multistage games, with and without discounting, in which each player can increase the level of an action over time so as to increase the other players' future payoffs. An action profile is said to be achievable if it is the limit point of a subgame perfect equilibrium path. Necessary conditions are derived for achievability under relatively general conditions. They imply that any efficient profile that is approximately achievable must be in the core of the underlying coalitional game. In some but not all games with discounting, the necessary conditions for achievability are also sufficient for a profile to be the limit of achievable profiles as the period length shrinks to zero. Consequently, in these games when the period length is very short, (i) the set of achievable profiles does not depend on the move structure; (ii) an efficient profile can be approximately achieved if and only if it is in the core; and (iii) any achievable profile can be achieved almost instantly.

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File URL: http://econtheory.org/ojs/index.php/te/article/viewFile/20130365/8777/267
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Article provided by Econometric Society in its journal Theoretical Economics.

Volume (Year): 8 (2013)
Issue (Month): 2 (May)
Pages:

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Handle: RePEc:the:publsh:1175
Contact details of provider: Web page: http://econtheory.org

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  1. Che,Y.-K. & Sakovics,J., 2001. "A dynamic theory of holdup," Working papers 25, Wisconsin Madison - Social Systems.
  2. Syngjoo Choi & Douglas Gale & Shachar Kariv, 2006. "Sequential Equilibrium in Monotone Games: Theory-Based Analysis of Experimental Data," Levine's Bibliography 784828000000000278, UCLA Department of Economics.
  3. Ochs, Jack & Park, In-Uck, 2004. "Overcoming the Coordination Problem: Dynamic Formation of Networks," CEI Working Paper Series 2004-18, Center for Economic Institutions, Institute of Economic Research, Hitotsubashi University.
  4. Duffy, John & Ochs, Jack & Vesterlund, Lise, 2007. "Giving little by little: Dynamic voluntary contribution games," Journal of Public Economics, Elsevier, vol. 91(9), pages 1708-1730, September.
  5. Marco Battaglini & Salvatore Nunnari & Thomas Palfrey, 2012. "The Free Rider Problem: a Dynamic Analysis," NBER Working Papers 17926, National Bureau of Economic Research, Inc.
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