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Conference Sessions - Jesse H. Jones Graduate School of ...

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2 - R&D Spillover and Product Differentiation in Fully Covered Market<br />

Xin Wang, University <strong>of</strong> Cincinnati, 402 Carl H. Lindner Hall, 2925<br />

Campus Green Drive, Cincinnati, OH, 45221, United States <strong>of</strong><br />

America, wang2x5@mail.uc.edu, Yuying Xie<br />

The literature is limited on the effect <strong>of</strong> R&D spillover on the strategic choice <strong>of</strong><br />

product quality. A recent study finds that the externality <strong>of</strong> R&D spillover<br />

unambiguously enhances the strategic development <strong>of</strong> quality for both the high-end<br />

producer and the low-end producer, which is contrary to the traditional viewpoint<br />

that spillovers decrease the spillover supplier’s incentive to improve. This paper<br />

explores the spillover effects on quality when markets are fully covered. Three<br />

scenarios are analyzed by using a popular setting <strong>of</strong> duopolistic competition in a<br />

quality-price two-stage game. Scenario 1 is a simultaneous game without production<br />

cost. We find that the firm producing at the low-end has a corner solution, and<br />

technology spillovers have no effect on either firm due to the corner solution.<br />

Scenario 2 considers asymmetric production cost by assuming a unit cost to the highend<br />

producer. We find that the spillovers improve quality <strong>of</strong> the low-end firm but<br />

discourage the high-end firm to innovate. Scenario 3 considers the combination <strong>of</strong><br />

market leadership and two-way spillovers. Specifically, we assume the low-end firm<br />

to be the leader in stage 2. We find that both qualities are improved due to<br />

technology spillovers. Overall, these results show that R&D spillovers have diverse<br />

effects on product qualities in various circumstances. The question <strong>of</strong> how technology<br />

spillovers influence foreign investments in product quality requires careful<br />

examinations <strong>of</strong> consumer preferences, the nature <strong>of</strong> products, and the<br />

competitiveness <strong>of</strong> firms.<br />

3 - Downsizing or Price Competition Responding to Increasing<br />

Input Cost<br />

Yeong Seon Kang, Doctoral Student, University <strong>of</strong> California, Irvine,<br />

The Paul Merage <strong>School</strong> <strong>of</strong> Business, Irvine, CA, 92697-3125, United<br />

States <strong>of</strong> America, yskang@uci.edu<br />

This study is to determine the firm’s optimal strategy in choosing between a price<br />

increase or downsizing the package size under conditions <strong>of</strong> a spatially differentiated<br />

market and each consumer’s diminishing marginal utility as product size increases.<br />

When a manufacturing firm faces a steep increase in its variable input cost, the firm<br />

usually increases the price <strong>of</strong> its product to share the loss in its pr<strong>of</strong>its with<br />

consumers. Downsizing can be an alternative strategy for the firm instead <strong>of</strong> a price<br />

increase. We assume that a firm downsizes the product package while maintaining its<br />

price. We find that the degree <strong>of</strong> competition and the amount <strong>of</strong> input cost increase<br />

affect a firm’s optimal strategy. If the rival firm chooses to increase the price when<br />

responding to an input cost increase, then the firm’s increasing price is always a<br />

dominant strategy. When the degree <strong>of</strong> competition is sufficiently large and the<br />

amount <strong>of</strong> input cost increase is sufficiently small, both firms choose a price increase<br />

in a unique Nash equilibrium. When the degree <strong>of</strong> competition is sufficiently small or<br />

when the amount <strong>of</strong> the input cost increase is sufficiently large, then both firms<br />

choose a price increase or both firms choose downsizing in equilibrium. Both cases<br />

are Nash equilibria and the former has higher pr<strong>of</strong>its than the latter because both<br />

firms pass through the entire amount <strong>of</strong> the input cost increase to the end consumers<br />

by the price increase. Therefore, both firms’ pr<strong>of</strong>its can maintain the same value as<br />

the benchmark case before the input cost increases. We also show that the<br />

asymmetric pairs <strong>of</strong> a price increase by one firm and downsizing by the other are<br />

never Nash equilibra in our framework, and both firms symmetrically choose the<br />

same strategy in equilibrium.<br />

■ SB05<br />

Legends Ballroom VI<br />

Game Theory V: General<br />

Contributed Session<br />

Chair: Ruhai Wu, Assistant Pr<strong>of</strong>essor, McMaster University, 1280 Main<br />

Street West, Hamilton, ON, L9G5C5, Canada, wuruhai@mcmaster.ca<br />

1 - Within-firm and Across-firm Search: The Impact on Firms’ Product<br />

Lines and Prices<br />

Anthony Dukes, University <strong>of</strong> Southern California, Marshall <strong>School</strong> <strong>of</strong><br />

Business, Los Angeles, CA, 90089, United States <strong>of</strong> America,<br />

dukes@marshall.usc.edu, Lin Liu<br />

Many firms <strong>of</strong>fer a related set <strong>of</strong> products, all <strong>of</strong> which are intended to satisfy a<br />

specific consumer need, but each differing on feature, color, or styling. Furthermore,<br />

comparing alternatives within a firm’s product line may be non-trivial for consumers.<br />

But most models <strong>of</strong> consumer search assume that consumers incur search costs only<br />

when comparing products <strong>of</strong> different firms. In this research, we examine the<br />

implications when consumers incur costs searching within a firm. Specifically, we<br />

decompose consumer search into within-firm and across-firm components and<br />

examine a model in which firms compete on prices and product line length. We show<br />

that the consideration <strong>of</strong> within-firm search costs leads to insights not seen in the<br />

prior literature on consumer search. Under certain conditions, as firms’ products<br />

become closer substitutes, consumers search less across firms but more within each<br />

firm, causing firms to expand their product lines. And, unlike across-firm search<br />

costs, an increase in within-firm search cost does not necessarily lead to higher prices.<br />

MARKETING SCIENCE CONFERENCE – 2011 SB05<br />

81<br />

2 - Bounded Rationality in Dynamic Games: Insights into Strategy<br />

Optimization Amid Player Uncertainty<br />

Jennifer Cutler, Duke University, Durham, NC,<br />

United States <strong>of</strong> America, jennifer.cutler@duke.edu<br />

In boundedly rational paradigms, players <strong>of</strong> lengthy dynamic games are limited in<br />

how many levels ahead they can think. When selecting a strategy, players must make<br />

several decisions: how far ahead they will choose to think (subject to their cognitive<br />

constraints), how far ahead they believe other players will think, and how to define<br />

higher order beliefs (e.g. player 1’s beliefs about player 2’s beliefs about player 1). We<br />

use analytical and numerical analyses to explore the main effects and interactions <strong>of</strong><br />

these decisions on pay<strong>of</strong>f in generalizable dynamic game contexts that are<br />

independent <strong>of</strong> pay<strong>of</strong>f structure. First, we demonstrate asymmetry in opponent<br />

estimation errors that are too high versus too low, and provide contextual parameters<br />

that moderate and reverse the differences. Second, we explore the effects <strong>of</strong><br />

increasing levels <strong>of</strong> thinking, and show how they interact with opponent estimation<br />

errors. Third, we introduce costly effort, and reevaluate the outcomes for net pay<strong>of</strong>f.<br />

The theoretical results are then demonstrated in several well-known dynamic<br />

marketing games. The results provide new strategic insights for optimizing pay<strong>of</strong>f<br />

amid uncertainty in other players’ abilities. First, contexts in which it is advantageous<br />

to underestimate opponents’ abilities are delineated from contexts in which the<br />

reverse is true. Second, situations in which it is advantageous to restrict one’s own<br />

level <strong>of</strong> thinking are defined.<br />

3 - Firm Strategies in the “Mid Tail” <strong>of</strong> Platform-based Retailing<br />

Baojun Jiang, Carnegie Mellon University, 5000 Forbes Avenue,<br />

Pittsburgh, PA, 15213, United States <strong>of</strong> America, baojun@cmu.edu,<br />

Kinshuk Jerath, Kannan Srinivasan<br />

While millions <strong>of</strong> products are sold on its retail platform, Amazon.com itself stocks<br />

and sells only a small fraction <strong>of</strong> them. Most <strong>of</strong> these products are sold by third-party<br />

sellers, who pay Amazon a fee for each unit sold. Empirical evidence clearly suggests<br />

that Amazon tends to sell high-demand products and leave long-tail products for<br />

independent sellers to <strong>of</strong>fer. We investigate how a platform owner such as Amazon,<br />

facing ex ante demand uncertainty, may strategically learn from these sellers’ early<br />

sales which <strong>of</strong> the “mid-tail” products are worthwhile for its direct selling and which<br />

are best left for others to sell. The platform owner’s “cherry-picking” <strong>of</strong> the successful<br />

products, however, gives an independent seller the incentive to mask any high<br />

demand by lowering his sales with a reduced service level (unobserved by the<br />

platform owner). We analyze this strategic interaction between the platform owner<br />

and the independent seller using a game-theoretic model with two types <strong>of</strong> sellers –<br />

one with high demand and one with low demand. We show that it may not always<br />

be optimal for the platform owner to identify the seller’s demand. Interestingly, the<br />

platform owner may be worse <strong>of</strong>f by retaining its option to sell the independent<br />

seller’s product whereas both types <strong>of</strong> sellers may benefit from the platform owner’s<br />

threat <strong>of</strong> entry. The platform owner’s entry option may reduce the consumer surplus<br />

in the early period though it increases the consumer surplus in the later period. We<br />

also investigate how consumer reviews influence the market outcome.<br />

4 - Repeated Consumption Pattern under Different Pricing Schemes<br />

Ruhai Wu, Assistant Pr<strong>of</strong>essor, McMaster University,<br />

1280 Main Street West, Hamilton, ON, L9G5C5, Canada,<br />

wuruhai@mcmaster.ca, Suman Basuroy<br />

Consumers with repeated consumptions <strong>of</strong>ten sign in long-term pricing contracts,<br />

such as monthly membership, prepaid plan, etc. They estimate their future<br />

consumptions when choosing among different pricing schemes. Their contractual<br />

choices subsequently influence their realized consumptions. In this paper, we develop<br />

a repeated game model studying the consumers’ decisions on pricing schemes and on<br />

repeated consumption. We study the three pricing schemes, namely, pay per visit, Tperiod<br />

(monthly) membership and prepaid K-visit (10-visit) pass. The model shows<br />

that the consumers realize different consumption patterns under different pricing<br />

schemes, and illustrate the consumers’ optimal choices among the pricing schemes.<br />

Interestingly, under certain condition, consumers choose T-period membership even<br />

though it is expected to result a “per-usage” cost higher than that under other pricing<br />

schemes. This outcome is consistent with the finding in Della Vigna and Malmendier<br />

(2006), where the authors explained it as consumers’ overestimation <strong>of</strong> future<br />

consumption. We also show the firm’s price discrimination solution in context <strong>of</strong><br />

design <strong>of</strong> pricing schemes, given consumers’ contractual and consumption decisions.

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