IDEAS home Printed from https://ideas.repec.org/p/bsl/wpaper/2016-02.html

Sorting in Iterated Incumbency Contests

Author

Listed:
  • Häfner, Samuel
  • Nöldeke, Georg

Abstract

This paper analyzes iterated incumbency contests with heterogeneous valuations in a large population setting. Incumbents repeatedly face dierent challengers, holding on to their positions until defeated in a contest. Defeated incumbents turn into challengers until they win a contest against an incumbent, thereby regaining an incumbency position. We consider steady-state equilibria of this process and study how and to which extend individuals sort into the incumbency positions depending on their valuations. In particular, we identify sucient conditions for positive sorting, meaning that the share of individuals with a given valuation holding an incumbency position is increasing in the valuation, and provide an example to show that negative rather than positive sorting may arise in equilibrium. Further results show how incumbency rents and sorting are aected by the frequency at which incumbency is contested and the scarcity of the incumbency positions.

Suggested Citation

  • Häfner, Samuel & Nöldeke, Georg, 2016. "Sorting in Iterated Incumbency Contests," Working papers 2016/02, Faculty of Business and Economics - University of Basel.
    • Handle: RePEc:bsl:wpaper:2016/02
    as

    Download full text from publisher

    File URL: https://edoc.unibas.ch/bitstreams/ccd234a6-8bf3-4502-aff8-128758fdb275/download
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Lauermann, Stephan & Nöldeke, Georg, 2015. "Existence of steady-state equilibria in matching models with search frictions," Economics Letters, Elsevier, vol. 131(C), pages 1-4.
    2. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    3. Hector Chade & Jan Eeckhout & Lones Smith, 2017. "Sorting through Search and Matching Models in Economics," Journal of Economic Literature, American Economic Association, vol. 55(2), pages 493-544, June.
    4. Franke, Jörg & Kanzow, Christian & Leininger, Wolfgang & Schwartz, Alexandra, 2014. "Lottery versus all-pay auction contests: A revenue dominance theorem," Games and Economic Behavior, Elsevier, vol. 83(C), pages 116-126.
    5. Nti, Kofi O, 1999. "Rent-Seeking with Asymmetric Valuations," Public Choice, Springer, vol. 98(3-4), pages 415-430, March.
    6. Marina Azzimonti, 2011. "Barriers to Investment in Polarized Societies," American Economic Review, American Economic Association, vol. 101(5), pages 2182-2204, August.
    7. Jörg Franke & Wolfgang Leininger & Cédric Wasser, 2014. "Revenue Maximizing Head Starts in Contests," Ruhr Economic Papers 0524, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    8. Forand, Jean Guillaume, 2014. "Two-party competition with persistent policies," Journal of Economic Theory, Elsevier, vol. 152(C), pages 64-91.
    9. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    10. Tracy J. Cornelius, 2003. "A Search Model of Marriage and Divorce," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(1), pages 135-155, January.
    11. Jinhui H. Bai & Roger Lagunoff, 2011. "On the Faustian Dynamics of Policy and Political Power," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 17-48.
    12. Catherine Hafer, 2006. "On the Origins of Property Rights: Conflict and Productionin the State of Nature," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 119-143.
    13. Franke, Jörg & Leininger, Wolfgang & Wasser, Cédric, 2014. "Revenue Maximizing Head Starts in Contests," Ruhr Economic Papers 524, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    14. Franke, Jörg & Leininger, Wolfgang & Wasser, Cédric, 2018. "Optimal favoritism in all-pay auctions and lottery contests," European Economic Review, Elsevier, vol. 104(C), pages 22-37.
    15. Kyung Hwan Baik, 2004. "Two-Player Asymmetric Contests with Ratio-Form Contest Success Functions," Economic Inquiry, Western Economic Association International, vol. 42(4), pages 679-689, October.
    16. Konrad, Kai A., 2002. "Investment in the absence of property rights; the role of incumbency advantages," European Economic Review, Elsevier, vol. 46(8), pages 1521-1537, September.
    17. Peter A. Diamond & Eric Maskin, 1979. "An Equilibrium Analysis of Search and Breach of Contract, I: Steady States," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 282-316, Spring.
    18. ,, 2014. "A dynamic theory of electoral competition," Theoretical Economics, Econometric Society, vol. 9(2), May.
    19. Yildirim, Huseyin, 2005. "Contests with multiple rounds," Games and Economic Behavior, Elsevier, vol. 51(1), pages 213-227, April.
    20. Leininger, Wolfgang, 1993. "More Efficient Rent-Seeking--A Munchhausen Solution," Public Choice, Springer, vol. 75(1), pages 43-62, January.
    21. Michael R. Baye & Dan Kovenock & Casper G. Vries, 1996. "The all-pay auction with complete information," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 209-223, Springer.
    22. Daron Acemoglu & James A. Robinson, 2001. "A Theory of Political Transitions," American Economic Review, American Economic Association, vol. 91(4), pages 938-963, September.
    23. Halvor Mehlum & Karl Moene, 2006. "Fighting against the odds," Economics of Governance, Springer, vol. 7(1), pages 75-87, January.
    24. Qiang Fu & Qian Jiao & Jingfeng Lu, 2015. "Contests with endogenous entry," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 387-424, May.
    25. Mattias Polborn, 2006. "Investment under Uncertainty in Dynamic Conflicts," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(2), pages 505-529.
    26. Kyung H. Baik & Jason F. Shogren, 2008. "Strategic Behavior in Contests: Comment," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 439-442, Springer.
    27. Diamond, P. A. & Maskin, Eric, 1981. "An equilibrium analysis of search and breach of contract II. A non-steady state example," Journal of Economic Theory, Elsevier, vol. 25(2), pages 165-195, October.
    28. Malueg, David A. & Yates, Andrew J., 2005. "Equilibria and comparative statics in two-player contests," European Journal of Political Economy, Elsevier, vol. 21(3), pages 738-752, September.
    29. Ron Siegel, 2014. "Asymmetric Contests with Head Starts and Nonmonotonic Costs," American Economic Journal: Microeconomics, American Economic Association, vol. 6(3), pages 59-105, August.
    30. Baron, David P., 1996. "A Dynamic Theory of Collective Goods Programs," American Political Science Review, Cambridge University Press, vol. 90(2), pages 316-330, June.
    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. Subhasish M. Chowdhury & Patricia Esteve‐González & Anwesha Mukherjee, 2023. "Heterogeneity, leveling the playing field, and affirmative action in contests," Southern Economic Journal, John Wiley & Sons, vol. 89(3), pages 924-974, January.
    2. Häfner, Samuel, 2017. "A tug-of-war team contest," Games and Economic Behavior, Elsevier, vol. 104(C), pages 372-391.
    3. Hoffmann, Magnus & Rota-Graziosi, Grégoire, 2012. "Endogenous timing in general rent-seeking and conflict models," Games and Economic Behavior, Elsevier, vol. 75(1), pages 168-184.
    4. Kyung Hwan Baik & Jong Hwa Lee, 2013. "Endogenous Timing In Contests With Delegation," Economic Inquiry, Western Economic Association International, vol. 51(4), pages 2044-2055, October.
    5. Matthew D. Mitchell, 2019. "Uncontestable favoritism," Public Choice, Springer, vol. 181(1), pages 167-190, October.
    6. Clark, Derek J. & Nilssen, Tore, 2018. "Beating the Matthew Effect: Head Starts and Catching Up in a Dynamic All-Pay Auction," Memorandum 2/2018, Oslo University, Department of Economics.
    7. Franke, Jörg & Leininger, Wolfgang & Wasser, Cédric, 2018. "Optimal favoritism in all-pay auctions and lottery contests," European Economic Review, Elsevier, vol. 104(C), pages 22-37.
    8. Franke, Jörg & Leininger, Wolfgang & Wasser, Cédric, 2014. "Revenue Maximizing Head Starts in Contests," Ruhr Economic Papers 524, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    9. Konrad, Kai A., 2007. "Strategy in contests: an introduction [Strategie in Turnieren – eine Einführung]," Discussion Papers, Research Unit: Market Processes and Governance SP II 2007-01, WZB Berlin Social Science Center.
    10. Clark, Derek J. & Nilssen, Tore, 2018. "Keep on fighting: The dynamics of head starts in all-pay auctions," Games and Economic Behavior, Elsevier, vol. 110(C), pages 258-272.
    11. Kawamori, Tomohiko, 2023. "Complete-rent-dissipation contest design," Economics Letters, Elsevier, vol. 232(C).
    12. Konstantinos Protopappas, 2023. "Manipulation of moves in sequential contests," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(3), pages 511-535, October.
    13. Van Long, Ngo, 2013. "The theory of contests: A unified model and review of the literature," European Journal of Political Economy, Elsevier, vol. 32(C), pages 161-181.
    14. Nunnari, Salvatore & Zápal, Jan, 2017. "Dynamic Elections and Ideological Polarization," Political Analysis, Cambridge University Press, vol. 25(4), pages 505-534, October.
    15. Jörg Franke & Wolfgang Leininger & Cédric Wasser, 2014. "Revenue Maximizing Head Starts in Contests," Ruhr Economic Papers 0524, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    16. J. Atsu Amegashie, 2012. "A Nested Contest: Tullock Meets the All-pay Auction," CESifo Working Paper Series 3976, CESifo.
    17. Zapal, Jan, 2020. "Simple Markovian equilibria in dynamic spatial legislative bargaining," European Journal of Political Economy, Elsevier, vol. 63(C).
    18. Maria Arbatskaya & Hideo Konishi, 2025. "Dynamic team contests with complementary efforts," Review of Economic Design, Springer;Society for Economic Design, vol. 29(3), pages 611-633, September.
    19. Jean Guillaume Forand & John Duggan, 2013. "Markovian Elections," Working Papers 1305, University of Waterloo, Department of Economics, revised Oct 2013.
    20. Derek J. Clark & Tore Nilssen & Jan Yngve Sand, 2020. "Gaining advantage by winning contests," Review of Economic Design, Springer;Society for Economic Design, vol. 24(1), pages 23-38, June.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

    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:bsl:wpaper:2016/02. 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: WWZ (email available below). General contact details of provider: https://edirc.repec.org/data/wwzbsch.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.