Reservation Price As a Range: an Incentive- Compatible Measurement Approach

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Reservation Price As a Range: an Incentive- Compatible Measurement Approach TUO WANG, R. VENKATESH, and RABIKAR CHATTERJEE* Drawing from the literature on buyers’ uncertainty in preference and product knowledge, the authors suggest and empirically test the proposition that a consumer’s reservation price for a product is more meaningfully and accurately represented as a range than as a single point. Given this conceptualization, they propose an approach for incentive-compatible elicitation of a consumer’s reservation price range (ICERANGE) that builds on Becker, DeGroot, and Marschak’s (1964) point-of-purchase method. Two empirical applications of the approach provide an assessment of its practicality and its predictive performance relative to current methodologies for reservation price elicitation. The results demonstrate that the proposed method significantly outperforms the benchmark approaches in terms of predictive validity and yields valuable incremental information about uncertainty in product valuation. Reservation Price as a Range: An Incentive- Compatible Measurement Approach Reservation price is a well-known and widely invoked customization and personalized pricing in several industries economic concept (Varian 1992). In common parlance, a (Choudhary et al. 2005), motivating accurate individual- consumer’s reservation price represents the maximum price level reservation price measurement. Second, marketing he or she is willing to pay for one unit of a good or service. researchers are applying recent methodological advances in Value pricing, product design, negotiations, and bundling areas such as experimental economics and Bayesian statis- are some substantive areas that depend on understanding tics to the measurement of reservation prices. Third, there is the reservation prices of individual consumers. a lack of consensus on the “right” way to measure (and, we Although the concept of reservation price has appeared in contend, even define) a consumer’s reservation price that the economics literature for well over a century (e.g., Dav- has left open avenues for further research. These factors, enport 1902), there is growing interest in advancing the especially the third, provide the motivation for our study. understanding and measurement of the construct, particu- For illustration, consider the following definitions of larly in marketing (Chung and Rao 2003; Jedidi, Jagpal, reservation price (italics added): and Manchanda 2003; Jedidi and Zhang 2002; Wertenbroch •“The minimum price at which [a consumer] would no longer and Skiera 2002). We attribute this interest to three factors. purchase the [product]” (Hauser and Urban 1986, p. 449). First, the advent of e-commerce has paved the way for mass •“The price at which a consumer is indifferent between buying and not buying the product” (Moorthy, Ratchford, and Taluk- dar 1997, p. 265). *Tuo Wang is Assistant Professor of Marketing, College of Business •“The price at or below which a consumer will demand one unit Administration, Kent State University (e-mail: [email protected]). R. of the good” (Varian 1992, p. 152). Venkatesh is Associate Professor of Business Administration (e-mail: [email protected]), and Rabikar Chatterjee is Professor of Business These three definitions differ from one another in the sense Administration (e-mail: [email protected]), Joseph M. Katz Graduate that in each case, the reservation price maps onto a different School of Business, University of Pittsburgh. The authors thank the late propensity to buy on the part of the consumer. They con- Dick Wittink and Russ Winer, the four anonymous JMR reviewers, Eileen verge only if the consumer’s propensity to buy transitions Bridges, Pradeep Chintagunta, Esther Gal-Or, John Hulland, Jeff Inman, Vijay Mahajan, Vikas Mittal, Vanitha Swaminathan, and doctoral students from a definite yes to a definite no at a single price point in Marketing at the Katz School for their helpful comments. They appreci- rather than over a range of values. ate the programming support from Leela Venkatesh and the help with data We propose that it is more reasonable to conceptualize a collection from Karen Page. The research has been funded by a grant from consumer’s reservation price as a range, with each of the the Katz Center for Industrial Competitiveness and two research grants definitions representing specific supports within the range. from the Office of the Dean at the Katz School. As we discuss in the next section, the literature on con- To read and contribute to reader and author dialogue on JMR, visit sumers’ preference uncertainty (e.g., Fischer, Luce, and Jia http://www.marketingpower.com/jmrblog. 2000) and performance/quality uncertainty (e.g., Rust et al. 1999) lends theoretical support to this proposition. If a con- © 2007, American Marketing Association Journal of Marketing Research ISSN: 0022-2437 (print), 1547-7193 (electronic) 200 Vol. XLIV (May 2007), 200–213 Reservation Price as a Range 201 sumer’s reservation price for a particular product is a range indirect measure of utility (Hauser and Urban 1986) or “a tied to the probability of purchase rather than a point, the direct monetary measure of product value” (Kalish and Nel- seller’s best price for the consumer depends on this range son 1991, p. 327). and its mapping onto purchase probability. In other words, One commonality among the three definitions of reserva- ignoring the range in an individual consumer’s reservation tion price cited in the preceding section is that they link, at price when it exists is likely to lead to problems, such as least implicitly, the definition to the consumer’s probability suboptimal pricing. of purchase at a particular price point. The difference lies in The primary contribution of our study is methodological. the implied purchase probability: 0% in Urban and Hauser’s We propose an approach called ICERANGE, which is short (1986) definition, 50% in Moorthy, Ratchford, and Taluk- for incentive-compatible elicitation of the range in a con- dar’s (1997), and 100% in Varian’s (1992). The lack of con- sumer’s reservation prices. Our approach, which is tied to sensus goes beyond these three studies.1 actual choice and is motivated by Becker, DeGroot, and In our conceptualization, a consumer’s reservation price Marschak’s (1964; hereinafter BDM) point-of-purchase is explicitly tied to his or her probability of purchasing the methodology, is the first in the literature to measure con- good. On the basis of the implied probability of purchase in sumers’ reservation prices as a range. The range measure- current definitions, we identify the following three signifi- ment is significant because the theory of uncertainty and cant reservation price points: related literature in experimental economics (and other 1. Floor reservation price is the maximum price at or below areas) underscore the notion that the point representation of which a consumer will definitely buy one unit of the product reservation price is tenuous. The range characterization (i.e., 100% purchase probability). retains the point measure as a special case. We demonstrate 2. Indifference reservation price is the maximum price at which that ICERANGE performs better than multiple benchmarks a consumer is indifferent between buying and not buying in two studies in which participants (college students) had (i.e., 50% purchase probability). the opportunity to buy the product (Belgian chocolate in 3. Ceiling reservation price is the minimum price at or above one study and Australian wine in the other). The two studies which a consumer will definitely not buy the product (i.e., confirm the existence of the reservation price range. Fur- 0% purchase probability). thermore, data from the more elaborate chocolate study Our motivation for the range representation comes from support our premise that consumers’ reservation price the uncertainty literature and related work in experimental ranges are positively related to their respective levels of economics (e.g., Ariely, Loewenstein, and Prelec 2003), performance- and preference-related uncertainty. Although resource economics (e.g., Gregory, Lichtenstein, and Slovic the elicitation procedure for ICERANGE is somewhat more 1993), psychology (e.g., Jacowitz and Kahneman 1995), involved than that for BDM, we address possible related and marketing (e.g., Urbany, Dickson, and Wilkie 1989). concerns. This range conceptualization seems able to unify the vari- We elaborate on the conceptual and theoretical underpin- ous definitions of reservation price (as a range of thresh- nings of our range characterization in the next section. olds). We note that utility theory has axiomatically treated Then, we compare and contrast alternative routes to reser- reservation price as a single-point measure, under the vation price measurement and draw from this discussion to assumption that participants know their preference struc- propose ICERANGE. In the two subsequent sections, we tures with certainty (thus, there may be uncertainty related describe the applications in the chocolate and wine cate- to product performance but not to preference structure). Our gories. Our concluding section outlines the scope and impli- conceptualization allows for both sources of uncertainty. cations of ICERANGE, as well as the study’s limitations Next, we examine the theoretical bases for this and future research directions. conceptualization. CONCEPTUALIZING RESERVATION PRICE AS A Theoretical Underpinnings for Reservation Price as a RANGE Range We first review the alternative definitions of reservation The single-point representation
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