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Achievable outcomes of dynamic contribution games

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  • Matthews, Steven A.

    ()
    (Department of Economics, University of Pennsylvania)

Abstract

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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Bibliographic Info

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

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Web page: http://econtheory.org

Related research

Keywords: Dynamic games; monotone games; core; public goods; voluntary contribution; gradualism;

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  1. Jack Ochs & In-Uck Park, 2005. "Overcoming the Coordination Problem: Dynamic Formation of Networks," Levine's Bibliography 172782000000000046, UCLA Department of Economics.
  2. Che,Y.-K. & Sakovics,J., 2001. "A dynamic theory of holdup," Working papers 25, Wisconsin Madison - Social Systems.
  3. Marco Battaglini & Salvatore Nunnari & Thomas Palfrey, 2012. "The Free Rider Problem: a Dynamic Analysis," NBER Working Papers 17926, National Bureau of Economic Research, Inc.
  4. Choi, Syngjoo & Gale, Douglas & Kariv, Shachar, 2008. "Sequential equilibrium in monotone games: A theory-based analysis of experimental data," Journal of Economic Theory, Elsevier, vol. 143(1), pages 302-330, November.
  5. Lise Vesterlund & John Duffy & Jack Ochs, 2004. "Giving Little by Little: Dynamic Voluntary Contribution Games," Econometric Society 2004 North American Winter Meetings 402, Econometric Society.
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