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Abstract

Some private-monitoring games, that is, games with no public histories, can have histories that are almost public. These games are the natural result of perturbing public-monitoring games towards private monitoring. We explore the extent to which it is possible to coordinate continuation play in such games. It is always possible to coordinate continuation play by requiring behavior to have bounded recall (i.e., there is a bound L such that in any period, the last L signals are sufficient to determine behavior). We show that, in games with general almost-public private monitoring, this is essentially the only behavior that can coordinate continuation play.

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File URL: http://cowles.econ.yale.edu/P/cd/d14b/d1479-r.pdf
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Bibliographic Info

Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1479R.

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Length: 35 pages
Date of creation: Sep 2004
Date of revision: Mar 2005
Handle: RePEc:cwl:cwldpp:1479r

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Phone: (203) 432-3702
Fax: (203) 432-6167
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Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

Related research

Keywords: Repeated games; Private monitoring; Almost-public monitoring; Coordination; Bounded recall;

Other versions of this item:

Find related papers by JEL classification:

• C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
• C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
• D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

This paper has been announced in the following NEP Reports:

• NEP-ALL-2005-04-16 (All new papers)
• NEP-EVO-2005-04-16 (Evolutionary Economics)
• NEP-GTH-2005-04-16 (Game Theory)
• NEP-PBE-2005-04-16 (Public Economics)

References

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Cited by:

1. Marco Battaglini & Stephen Coate, 2006. "A Dynamic Theory of Public Spending, Taxation and Debt," NBER Working Papers 12100, National Bureau of Economic Research, Inc.
   
   • Marco Battaglini & Stephen Coate, 2008. "A Dynamic Theory of Public Spending, Taxation, and Debt," American Economic Review, American Economic Association, vol. 98(1), pages 201-36, March.
   • Marco Battaglini & Stephen Coate, 2006. "A Dynamic Theory of Public Spending, Taxation and Debt," NajEcon Working Paper Reviews 321307000000000026, www.najecon.org.
   • Stephen Coate & Marco Battaglini, 2007. "A Dynamic Theory of Public Spending, Taxation and Debt," 2007 Meeting Papers 573, Society for Economic Dynamics.
   • Marco Battaglini & Stephen Coate, 2007. "A Dynamic Theory of Public Spending, Taxation and Debt," Discussion Papers 1441, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
   • Marco Battaglini & Steve Coate, 2006. "A Dynamic Theory of Public Spending, Taxation and Debt," Levine's Bibliography 122247000000001094, UCLA Department of Economics.
   • Battaglini, Marco & Coate, Stephen, 2007. "A Dynamic Theory of Public Spending, Taxation and Debt," Working Papers 07-04, Cornell University, Center for Analytic Economics.
2. Christopher Phelan & Andrzej Skrzypacz, 2007. "Private Monitoring with Infinite Histories," NajEcon Working Paper Reviews 843644000000000079, www.najecon.org.
   
   • Christopher Phelan & Andrzej Skrzypacz, 2006. "Private monitoring with infinite histories," Staff Report 383, Federal Reserve Bank of Minneapolis.
3. Rich McLean & Ichiro Obara & Andrew Postlewaite, 2005. "Informational Smallness and Private Monitoring in Repeated Games," Levine's Bibliography 784828000000000261, UCLA Department of Economics.
   
   • Richard McLean & Ichiro Obara & Andrew Postlewaite, 2001. "Informational Smallness and Private Monitoring in Repeated Games," PIER Working Paper Archive 05-024, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 20 Jul 2005.
4. George Mailath & Wojciech Olszewski, 2008. "Folk theorems with Bounded Recall under(Almost) Perfect Monitoring," Discussion Papers 1462, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
   
   • Mailath, George J. & Olszewski, Wojciech, 2011. "Folk theorems with bounded recall under (almost) perfect monitoring," Games and Economic Behavior, Elsevier, vol. 71(1), pages 174-192, January.
   • George J. Mailath & Wojciech Olszewski, 2008. "Folk Theorems with Bounded Recall under (Almost) Perfect Monitoring," PIER Working Paper Archive 08-019, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
5. Barlo, Mehmet & Carmona, Guilherme & Sabourian, Hamid, 2009. "Repeated games with one-memory," Journal of Economic Theory, Elsevier, vol. 144(1), pages 312-336, January.
6. Ichiro Obara, 2007. "Folk Theorem with Communication," Levine's Bibliography 784828000000000351, UCLA Department of Economics.
   
   • Obara, Ichiro, 2009. "Folk theorem with communication," Journal of Economic Theory, Elsevier, vol. 144(1), pages 120-134, January.
   • Ichiro Obara, 2005. "Folk Theorem with Communication," UCLA Economics Online Papers 366, UCLA Department of Economics.
7. Roman, Mihai Daniel, 2008. "Entreprises behavior in cooperative and punishment‘s repeated negotiations," MPRA Paper 37527, University Library of Munich, Germany, revised 05 Jan 2009.
8. Yamamoto, Yuichi, 2009. "A limit characterization of belief-free equilibrium payoffs in repeated games," Journal of Economic Theory, Elsevier, vol. 144(2), pages 802-824, March.
9. Richard McLean & Ichiro Obara & Andrew Postlewaite, 2005. "Informational Smallness and Privae Momnitoring in Repeated Games, Second Version," PIER Working Paper Archive 11-029, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 10 Feb 2011.
10. Ichiro Obara, 2005. "Informational Smallness and Private Monitoring in Repeated Games (with R. McLean and A. Postlewaite)," UCLA Economics Online Papers 365, UCLA Department of Economics.
11. Olivier Gossner & Jöhannes Horner, 2006. "When is the individually rational payoff in a repeated game equal to the minmax payoff?," Discussion Papers 1440, Northwestern University, Center for Mathematical Studies in Economics and Management Science.

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