IDEAS home Printed from https://ideas.repec.org/a/spr/metrik/v25y2014i1p33-54.html
   My bibliography  Save this article

Resource allocation within a budgeting game: truthful reporting as the dominant strategy under collusion

Author

Listed:
  • Christian Lohmann
  • Sandro Lombardo

Abstract

Both the Groves scheme and profit-sharing can lead to truthful reports produced by the better informed divisional manager for the benefit of the less well informed headquarters in charge of intra-firm resource allocation. However, both schemes have certain shortcomings: while the Groves scheme is susceptible to collusion among divisional managers, profit-sharing does not strictly ensure that truthful reporting is the dominant strategy in the case of each divisional manager. Both shortcomings can be remedied by combining the Groves scheme with an additional penalty scheme related to the Weitzman scheme. Using a game-theoretic approach, this paper introduces a new success indicator that establishes truthful reporting as the dominant strategy and prevents collusion or contractual agreements among divisional managers. In sum, this paper’s theoretical results predict that applying the new success indicator leads to a higher level of truthful reporting, and therefore to more efficient resource allocation, than applying either the Groves scheme or profit-sharing alone. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Christian Lohmann & Sandro Lombardo, 2014. "Resource allocation within a budgeting game: truthful reporting as the dominant strategy under collusion," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 25(1), pages 33-54, September.
  • Handle: RePEc:spr:metrik:v:25:y:2014:i:1:p:33-54
    DOI: 10.1007/s00187-014-0189-3
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00187-014-0189-3
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s00187-014-0189-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Reichelstein, Stefan & Osband, Kent, 1984. "Incentives in government contracts," Journal of Public Economics, Elsevier, vol. 24(2), pages 257-270, July.
    2. Osband, Kent & Reichelstein, Stefan, 1985. "Information-eliciting compensation schemes," Journal of Public Economics, Elsevier, vol. 27(1), pages 107-115, June.
    3. Ijiri, Y & Kinard, Jc & Putney, Fb, 1968. "Integrated Evaluation System For Budget Forecasting And Operating Performance With A Classified Budgeting Bibliography," Journal of Accounting Research, Wiley Blackwell, vol. 6(1), pages 1-28.
    4. Smith, Richard L & Kim, Joo-Hyun, 1994. "The Combined Effects of Free Cash Flow and Financial Slack on Bidder and Target Stock Returns," The Journal of Business, University of Chicago Press, vol. 67(2), pages 281-310, April.
    5. Susan I. Cohen & Martin Loeb, 1984. "The Groves Scheme, Profit Sharing and Moral Hazard," Management Science, INFORMS, vol. 30(1), pages 20-24, January.
    6. Barefield, Rm, 1969. "Comments On A Measure Of Forecasting Performance," Journal of Accounting Research, Wiley Blackwell, vol. 7(2), pages 324-327.
    7. Martin L. Weitzman, 1976. "The New Soviet Incentive Model," Bell Journal of Economics, The RAND Corporation, vol. 7(1), pages 251-257, Spring.
    8. Cremer, Jacques, 1996. "Manipulations by Coalitions Under Asymmetric Information: The Case of Groves Mechanisms," Games and Economic Behavior, Elsevier, vol. 13(1), pages 39-73, March.
    9. M. Harris & C. H. Kriebel & A. Raviv, 1982. "Asymmetric Information, Incentives and Intrafirm Resource Allocation," Management Science, INFORMS, vol. 28(6), pages 604-620, June.
    10. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    11. Loeb, M, 1974. "Comments On Budget Forecasting And Operating Performance," Journal of Accounting Research, Wiley Blackwell, vol. 12(2), pages 362-366.
    12. Groves, Theodore & Loeb, Martin, 1975. "Incentives and public inputs," Journal of Public Economics, Elsevier, vol. 4(3), pages 211-226, August.
    13. Markus Arnold & Eva Ponick & Heike Schenk-Mathes, 2008. "Groves Mechanism vs. Profit Sharing for Corporate Budgeting - An Experimental Analysis with Preplay Communication," European Accounting Review, Taylor & Francis Journals, vol. 17(1), pages 37-63.
    14. Michael H. Rothkopf, 2007. "Thirteen Reasons Why the Vickrey-Clarke-Groves Process Is Not Practical," Operations Research, INFORMS, vol. 55(2), pages 191-197, April.
    15. Itami, H, 1975. "Evaluation Measures And Goal Congruence Under Uncertainty," Journal of Accounting Research, Wiley Blackwell, vol. 13(1), pages 73-96.
    16. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    17. John D. Martin & George Emir Morgan, 1988. "Financial Planning Where the Firm's Demand for Funds is Nonstationary and Stochastic," Management Science, INFORMS, vol. 34(9), pages 1054-1066, September.
    18. Weingartner, H Martin, 1977. "Capital Rationing: n Authors in Search of a Plot," Journal of Finance, American Finance Association, vol. 32(5), pages 1403-1431, December.
    19. Fan, Liang-Shing, 1975. "On the Reward System," American Economic Review, American Economic Association, vol. 65(1), pages 226-229, March.
    20. Rajiv D. Banker & Srikant M. Datar, 1992. "Optimal transfer pricing under postcontract information," Contemporary Accounting Research, John Wiley & Sons, vol. 8(2), pages 329-352, March.
    21. Loeb, M & Magat, Wa, 1978. "Soviet Success Indicators And Evaluation Of Divisional Management," Journal of Accounting Research, Wiley Blackwell, vol. 16(1), pages 103-121.
    22. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
    23. Theodore Groves & Martin Loeb, 1979. "Incentives in a Divisionalized Firm," Management Science, INFORMS, vol. 25(3), pages 221-230, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Thomas Liessem & Ivo Schedlinsky & Anja Schwering & Friedrich Sommer, 2015. "Budgetary slack under budget-based incentive schemes—the behavioral impact of social preferences, organizational justice, and moral disengagement," Journal of Management Control: Zeitschrift für Planung und Unternehmenssteuerung, Springer, vol. 26(1), pages 81-94, April.

    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. Feldmann, Martin & Müller, Stephanie, 2003. "An incentive scheme for true information providing in Supply Chains," Omega, Elsevier, vol. 31(2), pages 63-73, April.
    2. Alexis H. Kunz & Thomas Pfeiffer, 1999. "Investitionsbudgetierung und implizite Verträge: Wie resistent ist der Groves-Mechanismus bei dynamischer Interaktion?," Schmalenbach Journal of Business Research, Springer, vol. 51(3), pages 203-223, March.
    3. Markus C. Arnold & Eva Ponick, 2006. "Kommunikation im Groves-Mechanismus — Ergebnisse eines Laborexperiments," Schmalenbach Journal of Business Research, Springer, vol. 58(1), pages 89-120, February.
    4. Chee W. Chow & Mark K. Hirst & Michael D. Shields, 1994. "Motivating Truthful Subordinate Reporting: An Experimental Investigation in a Two†Subordinate Context," Contemporary Accounting Research, John Wiley & Sons, vol. 10(2), pages 699-720, March.
    5. Arleta Rasmußen, 2015. "Reporting behavior: a literature review of experimental studies," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(2), pages 283-311, June.
    6. Martini, Jan Thomas & Niemann, Rainer & Simons, Dirk, 2007. "Transfer pricing or formula apportionment? Tax-induced distortions of multinationals' investment and production decisions," arqus Discussion Papers in Quantitative Tax Research 27, arqus - Arbeitskreis Quantitative Steuerlehre.
    7. Jörg Budde & Robert F. Göx & Alfred Luhmer, 1998. "Absprachen beim Groves-Mechanismus," Schmalenbach Journal of Business Research, Springer, vol. 50(1), pages 3-20, January.
    8. Rajiv D. Banker & Srikant M. Datar, 1992. "Optimal transfer pricing under postcontract information," Contemporary Accounting Research, John Wiley & Sons, vol. 8(2), pages 329-352, March.
    9. Ben Sopranzetti & Yue Ma, 2020. "China’s VAT Tax Reform: A Boon for the Economy or an Opportunity for Moral Hazard?," Review of Pacific Basin Financial Markets and Policies (RPBFMP), World Scientific Publishing Co. Pte. Ltd., vol. 23(01), pages 1-15, March.
    10. Jan Thomas Martini & Rainer Niemann & Dirk Simons, 2007. "Transfer Pricing or Formula Apportionment? Tax-Induced Distortions of Multinationals’ Investment and Production Decisions," CESifo Working Paper Series 2020, CESifo.
    11. T. Tideman, 1983. "An experiment in the demand-revealing process," Public Choice, Springer, vol. 41(3), pages 387-401, January.
    12. Hoang, Daniel & Gatzer, Sebastian & Ruckes, Martin E., 2018. "The economics of capital allocation in firms: Evidence from internal capital markets," Working Paper Series in Economics 115, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    13. Claude d'Aspremont & Jacques Crémer & Louis-André Gérard-Varet, 2003. "Correlation, independence, and Bayesian incentives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(2), pages 281-310, October.
    14. Ratul Lahkar & Vinay Ramani, 2022. "An Evolutionary Approach to Pollution Control in Competitive Markets," Dynamic Games and Applications, Springer, vol. 12(3), pages 872-896, September.
    15. Matt Van Essen, 2013. "Making efficient public good decisions using an augmented Ausubel auction," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 57-68, May.
    16. Hyoung-Goo Kang & Richard M. Burton & Will Mitchell, 2021. "How firm boundaries and relatedness jointly affect diversification value: trade-offs between governance and flexibility," Computational and Mathematical Organization Theory, Springer, vol. 27(1), pages 1-34, March.
    17. Jon X. Eguia & Dimitrios Xefteris, 2021. "Implementation by Vote-Buying Mechanisms," American Economic Review, American Economic Association, vol. 111(9), pages 2811-2828, September.
    18. Vitalik Buterin & Zoe Hitzig & E. Glen Weyl, 2018. "A Flexible Design for Funding Public Goods," Papers 1809.06421, arXiv.org, revised Aug 2020.
    19. Safronov, Mikhail, 2018. "Coalition-proof full efficient implementation," Journal of Economic Theory, Elsevier, vol. 177(C), pages 659-677.
    20. Vohra, Rakesh V., 2015. "Combinatorial Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.

    More about this item

    Keywords

    Budgeting; Truthful reporting; Collusion; Resource allocation; C70; M41; M52;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • M41 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting - - - Accounting
    • M52 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Personnel Economics - - - Compensation and Compensation Methods and Their Effects

    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:spr:metrik:v:25:y:2014:i:1:p:33-54. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.