IDEAS home Printed from https://ideas.repec.org/p/inn/wpaper/2013-28.html
   My bibliography  Save this paper

Promoting coordination in summary-statistic games

Author

Listed:
  • Dominik Erharter

Abstract

This paper studies how external incentives can help agents to coordinate in summary-statistic games. Agents follow a myopic best-reply rule and face a trade-off between efficiency and strategic uncertainty. A principal can help agents to coordinate on the Pareto optimal equilibrium by monitoring an appropriate number of agents. The optimal monitoring policy is 'minimally-invasive' - for every strategy profile of the agents, the principal either monitors just enough agents to make high effort a best-reply or does not monitor at all. Furthermore, given the principal's payoffs are supermodular and increasing at an increasing rate, the optimal monitoring policy is monotone in the number of agents who choose high effort.

Suggested Citation

  • Dominik Erharter, 2013. "Promoting coordination in summary-statistic games," Working Papers 2013-28, Faculty of Economics and Statistics, Universität Innsbruck.
  • Handle: RePEc:inn:wpaper:2013-28
    as

    Download full text from publisher

    File URL: https://www2.uibk.ac.at/downloads/c4041030/wpaper/2013-28.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Glenn Ellison, 2000. "Basins of Attraction, Long-Run Stochastic Stability, and the Speed of Step-by-Step Evolution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(1), pages 17-45.
    2. Giovanna Devetag & Andreas Ortmann, 2007. "When and why? A critical survey on coordination failure in the laboratory," Experimental Economics, Springer;Economic Science Association, vol. 10(3), pages 331-344, September.
    3. Van Huyck, John B & Battalio, Raymond C & Beil, Richard O, 1990. "Tacit Coordination Games, Strategic Uncertainty, and Coordination Failure," American Economic Review, American Economic Association, vol. 80(1), pages 234-248, March.
    4. Crawford, Vincent P, 1995. "Adaptive Dynamics in Coordination Games," Econometrica, Econometric Society, vol. 63(1), pages 103-143, January.
    5. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    6. Jordi Brandts & David J. Cooper, 2006. "A Change Would Do You Good .... An Experimental Study on How to Overcome Coordination Failure in Organizations," American Economic Review, American Economic Association, vol. 96(3), pages 669-693, June.
    7. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
    8. Bergin, James & Lipman, Barton L, 1996. "Evolution with State-Dependent Mutations," Econometrica, Econometric Society, vol. 64(4), pages 943-956, July.
    9. Martin Kaae Jensen, 2018. "Aggregative games," Chapters, in: Luis C. Corchón & Marco A. Marini (ed.), Handbook of Game Theory and Industrial Organization, Volume I, chapter 4, pages 66-92, Edward Elgar Publishing.
    10. Roberto A. Weber, 2006. "Managing Growth to Achieve Efficient Coordination in Large Groups," American Economic Review, American Economic Association, vol. 96(1), pages 114-126, March.
    11. Carlos Alós-Ferrer & Ana Ania, 2005. "The evolutionary stability of perfectly competitive behavior," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(3), pages 497-516, October.
    12. Kim, Youngse, 1996. "Equilibrium Selection inn-Person Coordination Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 203-227, August.
    13. Robles, Jack, 1997. "Evolution and Long Run Equilibria in Coordination Games with Summary Statistic Payoff Technologies," Journal of Economic Theory, Elsevier, vol. 75(1), pages 180-193, July.
    14. Martin Jensen, 2010. "Aggregative games and best-reply potentials," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 45-66, April.
    15. John Bryant, 1983. "A Simple Rational Expectations Keynes-type Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(3), pages 525-528.
    16. Devetag, Giovanna, 2005. "Precedent transfer in coordination games: An experiment," Economics Letters, Elsevier, vol. 89(2), pages 227-232, November.
    17. John B. Van Huyck & Raymond C. Battalio & Richard O. Beil, 1991. "Strategic Uncertainty, Equilibrium Selection, and Coordination Failure in Average Opinion Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(3), pages 885-910.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2014. "Imitation and the role of information in overcoming coordination failures," Games and Economic Behavior, Elsevier, vol. 87(C), pages 397-411.
    2. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2014. "Imitation and the role of information in overcoming coordination failures," Games and Economic Behavior, Elsevier, vol. 87(C), pages 397-411.
    3. Dietrichson, Jens & Jochem, Torsten, 2014. "Organizational coordination and costly communication with boundedly rational agents," Comparative Institutional Analysis Working Paper Series 2014:1, Lund University, Comparative Institutional Analysis, School of Economics and Management.
    4. Dietrichson, Jens & Gudmundsson, Jens & Jochem, Torsten, 2014. "Let's Talk It Over: Communication and Coordination in Teams," Working Papers 2014:2, Lund University, Department of Economics, revised 18 Apr 2018.
    5. Sandra Polania-Reyes, 2016. "Disentangling Social Capital: Lab-in-the-Field Evidence on Coordination, Networks, and Cooperation," Artefactual Field Experiments 00565, The Field Experiments Website.
    6. Al-Ubaydli, Omar & Jones, Garett & Weel, Jaap, 2010. "Patience, cognitive skill and coordination in the repeated stag hunt," MPRA Paper 27723, University Library of Munich, Germany.
    7. Maoliang Ye & Jie Zheng & Plamen Nikolov & Sam Asher, 2020. "One Step at a Time: Does Gradualism Build Coordination?," Management Science, INFORMS, vol. 66(1), pages 113-129, January.
    8. Giovanna Devetag & Andreas Ortmann, 2007. "When and why? A critical survey on coordination failure in the laboratory," Experimental Economics, Springer;Economic Science Association, vol. 10(3), pages 331-344, September.
    9. Weiss, Avi & Etziony, Amir, 2015. "The role of critical mass in establishing a successful network market: An experimental investigationAuthor-Name: Ruffle, Bradley J," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 58(C), pages 101-110.
    10. Arno Riedl & Ingrid M. T. Rohde & Martin Strobel, 2016. "Efficient Coordination in Weakest-Link Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 83(2), pages 737-767.
    11. Anderson, Simon P. & Goeree, Jacob K. & Holt, Charles A., 2001. "Minimum-Effort Coordination Games: Stochastic Potential and Logit Equilibrium," Games and Economic Behavior, Elsevier, vol. 34(2), pages 177-199, February.
    12. Dziubiński, Marcin & Roy, Jaideep, 2012. "Popularity of reinforcement-based and belief-based learning models: An evolutionary approach," Journal of Economic Dynamics and Control, Elsevier, vol. 36(3), pages 433-454.
    13. Yoshio Kamijo & Hiroki Ozono & Kazumi Shimizu, 2016. "Overcoming coordination failure using a mechanism based on gradualism and endogeneity," Experimental Economics, Springer;Economic Science Association, vol. 19(1), pages 202-217, March.
    14. Lim, Wooyoung & Neary, Philip R., 2016. "An experimental investigation of stochastic adjustment dynamics," Games and Economic Behavior, Elsevier, vol. 100(C), pages 208-219.
    15. Carlos Alós-Ferrer & Nick Netzer, 2015. "Robust stochastic stability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(1), pages 31-57, January.
    16. Cui, Zhiwei & Wang, Rui, 2016. "Collaboration in networks with randomly chosen agents," Journal of Economic Behavior & Organization, Elsevier, vol. 129(C), pages 129-141.
    17. Romero, Julian, 2015. "The effect of hysteresis on equilibrium selection in coordination games," Journal of Economic Behavior & Organization, Elsevier, vol. 111(C), pages 88-105.
    18. Francesco Feri & Bernd Irlenbusch & Matthias Sutter, 2010. "Efficiency Gains from Team-Based Coordination—Large-Scale Experimental Evidence," American Economic Review, American Economic Association, vol. 100(4), pages 1892-1912, September.
    19. Edward J. Cartwright, 2014. "Imitation And Coordination In Small‐World Networks," Intelligent Systems in Accounting, Finance and Management, John Wiley & Sons, Ltd., vol. 21(2), pages 71-90, April.
    20. Cason, Timothy N. & Savikhin, Anya C. & Sheremeta, Roman M., 2012. "Behavioral spillovers in coordination games," European Economic Review, Elsevier, vol. 56(2), pages 233-245.

    More about this item

    Keywords

    adaptive learning; Markov decision process; coordination failure; order-statistic game;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inn:wpaper:2013-28. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Janette Walde (email available below). General contact details of provider: https://edirc.repec.org/data/fuibkat.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.