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Risk Behavior in Response to Quotas and Contests

Author

Listed:
  • Anil Gaba

    (INSEAD, Boulevard de Constance, 77305 Fontainebleau, France)

  • Ajay Kalra

    (Graduate School of Industrial Administration, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213)

Abstract

Much of the salesforce compensation literature has focused on developing incentive schemes to maximize effort levels on the part of the salesforce. The amount of effort to expend in the selling task is considered to be the sole decision variable for a sales representative. In this paper, we introduce another key decision variable for a sales representative which is how much risk to undertake in the selling task. In other words, we consider the fact that for a sales representative “riskiness” of performance (e.g., the dispersion of the probability distribution for sales) is often a choice and not a given fate. For example, a sales representative, trying to increase sales, may have the choice of allocating a given amount of effort on the low-risk approach of pursuing a small set of existing customers or incur the same effort on the high-risk option of getting new larger customers to switch from competitors. This paper examines how decisions on risk behavior on the part of the sales representatives are influenced by compensation schemes. We show that such decisions are sensitive to the payoff structure when a quota-based or a rank-order contest-based compensation scheme is used. More specifically, we argue that a high quota level or a rank-order contest where only the top few win induce sales representatives to opt for high-risk prospects, whereas a low quota level or a rank-order contest where a high proportion win induce sales representatives to opt for low-risk prospects. This does not stem from any kind of violation of standard expected utility theory but arises from the specific structure of jumps in payoffs. It is not that the inherent risk attitudes of the sales representatives are being altered. Rather, under some quota and contest conditions, a more risky prospect may yield higher expected utility for an inherently risk-averse sales representative while under some other quota and contest conditions, a less risky prospect may lead to a higher expected utility for an inherently risk-seeking sales representative. The theoretical propositions are tested in a series of five experiments. The first two experiments test the theoretical results of quota-based compensation. The quota levels are manipulated. Subjects select between segment types where the mean expected sales are the same but the variance varies. The next two experiments test the risk behavior of subjects in contest-based incentive schemes when the proportion of winners in the contest is manipulated. The results provide strong support for our models, with only a few subjects departing from the theoretical predictions. A fifth experiment shows some cognitive response data to explain the behavior that is inconsistent with the theoretical predictions. This paper provides implications that are useful for managers who design compensation schemes. A common assumption in most normative models on salesforce compensation is that all sales representatives are either risk averse or risk neutral. This might often lead to the conclusion that sales representatives cannot be expected to engage in high-risk activities in the absence of a risk premium over and above the compensation scheme. While this may be true if sales representatives are facing only a piece-rate compensation plan, it need not be the case when quota-based or contest-based compensation schemes are used. Our results suggest that when the sales quotas are set “high” or if the proportion of winners in a sales contest is “low”, sales representatives may engage in high-risk behavior. Alternatively, if the quotas are “low” or the proportion of winners in a sales contest is “high”, sales representatives may engage in low-risk prospects. Hence, if a firm would like to dampen high-risk behavior on the part of the salesforce, lowering quota levels or increasing the proportion of winners in sales contests might do so. Similarly, in order to reduce conservatism towards risk, moving up the quota levels or reducing the proportion of winners in sales contests could be useful. Our results extend beyond just salesforce management, to any situation where payoffs are based on reaching a certain threshold level in performance or are based on relative performance. For example, similar implications hold in tournaments for promotion to a limited number of top management positions in an organization, influencing the portfolio of R&D managers, and so on.

Suggested Citation

  • Anil Gaba & Ajay Kalra, 1999. "Risk Behavior in Response to Quotas and Contests," Marketing Science, INFORMS, vol. 18(3), pages 417-434.
  • Handle: RePEc:inm:ormksc:v:18:y:1999:i:3:p:417-434
    DOI: 10.1287/mksc.18.3.417
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    References listed on IDEAS

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    Cited by:

    1. Kräkel, Matthias, 2008. "Optimal risk taking in an uneven tournament game with risk averse players," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1219-1231, December.
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    3. J. Atsu Amegashie, 2009. "American Idol: should it be a singing contest or a popularity contest?," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 33(4), pages 265-277, November.
    4. Marcos Singer & Patricio Donoso & Garo Konstantinidis, 2009. "Who wants to break the hockey-stick sales pattern in the supply chain?," Annals of Operations Research, Springer, vol. 169(1), pages 131-147, July.
    5. Debapriya Jojo Paul & Julia Henker & Sian Owen, 2019. "The aggregate impacts of tournament incentives in experimental asset markets," Experimental Economics, Springer;Economic Science Association, vol. 22(2), pages 441-476, June.
    6. Natalia Karelaia & Robin Hogarth, 2010. "The attraction of uncertainty: Interactions between skill and levels of uncertainty in market-entry games," Journal of Risk and Uncertainty, Springer, vol. 41(2), pages 141-166, October.
    7. Ivo Schedlinsky & Friedrich Sommer & Arnt Wöhrmann, 2016. "Risk-taking in tournaments: an experimental analysis," Journal of Business Economics, Springer, vol. 86(8), pages 837-866, November.
    8. Ayc{s}e Kocab{i}y{i}kou{g}lu & Ioana Popescu, 2007. "Managerial Motivation Dynamics and Incentives," Management Science, INFORMS, vol. 53(5), pages 834-848, May.
    9. Kräkel, Matthias & Nieken, Petra & Przemeck, Judith, 2014. "Risk taking and investing in electoral competition," European Journal of Political Economy, Elsevier, vol. 33(C), pages 98-120.
    10. Nieken, Petra & Sliwka, Dirk, 2010. "Risk-taking tournaments - Theory and experimental evidence," Journal of Economic Psychology, Elsevier, vol. 31(3), pages 254-268, June.
    11. Steffen Keck & Natalia Karelaia, 2012. "Does competition foster trust? The role of tournament incentives," Experimental Economics, Springer;Economic Science Association, vol. 15(1), pages 204-228, March.
    12. Ajay Kalra & Mengze Shi, 2001. "Designing Optimal Sales Contests: A Theoretical Perspective," Marketing Science, INFORMS, vol. 20(2), pages 170-193, December.
    13. Cui, Xuegang & Feltovich, Nick & Zhang, Kun, 2022. "Incentive schemes, framing, and market behaviour: Evidence from an asset-market experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 197(C), pages 301-324.
    14. Sanjiv Erat & Vish Krishnan, 2012. "Managing Delegated Search Over Design Spaces," Management Science, INFORMS, vol. 58(3), pages 606-623, March.
    15. Niklas Kreilkamp & Sascha Matanovic & Maximilian Schmidt & Arnt Wöhrmann, 2023. "How executive incentive design affects risk-taking: a literature review," Review of Managerial Science, Springer, vol. 17(7), pages 2349-2374, October.
    16. Mark Ferguson & V. Daniel R. Guide , Jr. & Gilvan C. Souza, 2006. "Supply Chain Coordination for False Failure Returns," Manufacturing & Service Operations Management, INFORMS, vol. 8(4), pages 376-393, August.
    17. Anil Gaba & Ilia Tsetlin & Robert L. Winkler, 2004. "Modifying Variability and Correlations in Winner-Take-All Contests," Operations Research, INFORMS, vol. 52(3), pages 384-395, June.
    18. Biao Luo & Chengyuan Wang & Tieshan Li, 2018. "Inequity-averse agents’ deserved concerns under the linear contract: a social network setting," Annals of Operations Research, Springer, vol. 268(1), pages 129-148, September.
    19. Christopher Cotton, 2005. "Can forgetful sellers be better off? Impact of information in an ultimatum price-setting game with learning," Game Theory and Information 0510007, University Library of Munich, Germany.
    20. Fanny-Juliet Poujol, 2009. "Management of sales advisers and service climate: an experiment," Post-Print hal-03122111, HAL.
    21. Grund, Christian & Höcker, Jan & Zimmermann, Stefan, 2010. "Risk Taking Behavior in Tournaments: Evidence from the NBA," IZA Discussion Papers 4812, Institute of Labor Economics (IZA).
    22. Usvitskiy, Alexander, 2022. "Strategic risk-taking in dynamic contests," Journal of Economic Behavior & Organization, Elsevier, vol. 198(C), pages 511-534.

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