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  • All HBS Web  (2,226)
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    • News  (282)
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  • 2013
  • Dissertation

Designing Freemium: A Model of Consumer Usage, Upgrade, and Referral Dynamics

By: Clarence Lee, Vineet Kumar and Sunil Gupta
Abstract. Over the past decade "freemium" (free + premium) has become the dominant business model among internet start-ups for its ability to acquire and monetize a large install-base with limited marketing resources. Freemium is a hybrid strategy where a firm offers... View Details
Keywords: Discrete-Continuous Choice Dynamic Structural Models; Bayesian Estimation; Word-of-Mouth; Digital Services; Freemium; Entrepreneurship; Business Model; Motivation and Incentives; Marketing Strategy; Internet and the Web; Consumer Behavior; Marketing Reference Programs; Business Startups
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Lee, Clarence, Vineet Kumar, and Sunil Gupta. "Designing Freemium: A Model of Consumer Usage, Upgrade, and Referral Dynamics." Diss., Harvard Business School, 2013. (Job Market Paper.)
  • July 2019
  • Article

Optimal Capital Structure and Bankruptcy Choice: Dynamic Bargaining vs Liquidation

By: Samuel Antill and Steven R. Grenadier
We model a firm’s optimal capital structure decision in a framework in which it may later choose to enter either Chapter 11 reorganization or Chapter 7 liquidation. Creditors anticipate equityholders’ ex-post reorganization incentives and price them into the ex-ante... View Details
Keywords: Default; Dynamic Bargaining; Capital Structure; Insolvency and Bankruptcy; Mathematical Methods
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Antill, Samuel, and Steven R. Grenadier. "Optimal Capital Structure and Bankruptcy Choice: Dynamic Bargaining vs Liquidation." Journal of Financial Economics 133, no. 1 (July 2019): 198–224.
  • 2018
  • Working Paper

Semi-Parametric Estimation of Dynamic Discrete Choice Models

By: David Hao Zhang
I develop a new method for estimating counterfactuals in dynamic discrete choice models, a widely used set of models in economics, without requiring a distributional assumption on utility shocks. Applying my method to the canonical Rust (1987) setting, I find that the... View Details
Keywords: Semiparametrics; Dynamic Discrete Choice; Consumer Choice; Mathematical Methods
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Zhang, David Hao. "Semi-Parametric Estimation of Dynamic Discrete Choice Models." Working Paper, April 2018.
  • July 2006
  • Article

Dynamic Mixed Duopoly: A Model Motivated by Linux vs. Windows

By: Ramon Casadesus-Masanell and Pankaj Ghemawat
This paper analyzes a dynamic mixed duopoly in which a profit-maximizing competitor interacts with a competitor that prices at zero (or marginal cost), with the cumulation of output affecting their relative positions over time. The modeling effort is motivated by... View Details
Keywords: Open Source Software; Demand-side Learning; Network Effects; Linux; Mixed Duopoly; Competitive Dynamics; Business Models; Duopoly and Oligopoly; Information Technology; Applications and Software; Business Model; Mathematical Methods; Digital Platforms; Profit; Balance and Stability; Management Analysis, Tools, and Techniques; SWOT Analysis; Competition; Price; Information Technology Industry
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Casadesus-Masanell, Ramon, and Pankaj Ghemawat. "Dynamic Mixed Duopoly: A Model Motivated by Linux vs. Windows." Management Science 52, no. 7 (July 2006): 1072–1084.
  • September 2014
  • Article

Structural Models of Complementary Choices

By: Steven T. Berry, Ahmed Khwaja, Vineet Kumar, Andres Musalem, Kenneth C. Wilbur, Greg Allenby, Bharat Anand, Pradeep K. Chintagunta, W. Michael Hanemann, Przemyslaw Jeziorski and Angelo Mele
Complementary choices are important and pervasive yet occasionally elusive. Single consumers make complementary choices in purchase decisions (e.g., chips and salsa), product inter-operabilities (smartphones and networks), and dynamic decisions (current exercise and... View Details
Keywords: Decision Choices and Conditions; Consumer Behavior
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Berry, Steven T., Ahmed Khwaja, Vineet Kumar, Andres Musalem, Kenneth C. Wilbur, Greg Allenby, Bharat Anand, Pradeep K. Chintagunta, W. Michael Hanemann, Przemyslaw Jeziorski, and Angelo Mele. "Structural Models of Complementary Choices." Marketing Letters 25, no. 3 (September 2014): 245–256.
  • 2021
  • Working Paper

Time Dependence and Preference: Implications for Compensation Structure and Shift Scheduling

By: Doug J. Chung, Byungyeon Kim and Byoung G. Park
This study jointly examines agents’ time dependence—period effects within instantaneous utility—and time preference—behavior on discounting future utility. The study considers the start- and end-of-period effects for time dependence and exponential and hyperbolic... View Details
Keywords: Time Preferences; Present Bias; Hyperbolic Discounting; Compensation; Dynamic Structural Models; Identification; Time Management; Motivation and Incentives; Behavior; Performance; Compensation and Benefits
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Chung, Doug J., Byungyeon Kim, and Byoung G. Park. "Time Dependence and Preference: Implications for Compensation Structure and Shift Scheduling." Harvard Business School Working Paper, No. 21-121, April 2021.
  • September–October 2013
  • Article

The Dynamic Advertising Effect of Collegiate Athletics

By: Doug J. Chung
I measure the spillover effect of intercollegiate athletics on the quantity and quality of applicants to institutions of higher education in the United States, popularly known as the "Flutie Effect." I treat athletic success as a stock of goodwill that decays over... View Details
Keywords: Choice Modeling; Entertainment Marketing; Heterogeneity; Panel Data; Structural Modeling; Rights; Analytics and Data Science; Higher Education; Ethics; Consumer Behavior; Advertising; Sports; Advertising Industry; Education Industry
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Chung, Doug J. "The Dynamic Advertising Effect of Collegiate Athletics." Marketing Science 32, no. 5 (September–October 2013): 679–698. (Lead article. Featured in HBS Working Knowledge.)
  • March 2019
  • Article

A Structural Analysis of the Role of Superstars in Crowdsourcing Contests

By: Shunyuan Zhang, Param Singh and Anindya Ghose
We investigate the long-term impact of competing against superstars in crowdsourcing contests. Using a unique 50-month longitudinal panel data set on 1677 software design crowdsourcing contests, we illustrate a learning effect where participants are able to improve... View Details
Keywords: Crowdsourcing Contests; Superstar Effect; Bayesian Learning; Utility; Economics Of Information System; Dynamic Structural Model; Dynamic Programming; Markov Chain; Monte Carlo; Learning; Competition; Performance Improvement
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Zhang, Shunyuan, Param Singh, and Anindya Ghose. "A Structural Analysis of the Role of Superstars in Crowdsourcing Contests." Information Systems Research 30, no. 1 (March 2019): 15–33.
  • December 2019
  • Article

Invest in Information or Wing It? A Model of Dynamic Pricing with Seller Learning

By: Guofang Huang, Hong Luo and Jing Xia
Pricing idiosyncratic products is often challenging because the seller, ex ante, lacks information about the demand for individual items. This paper develops a model of dynamic pricing for idiosyncratic products that features the optimal stopping structure and a seller... View Details
Keywords: Dynamic Pricing; Idiosyncratic Products; Item-specific Demand; Demand Uncertainty; Active Seller Learning; The Value Of Information; Price; Information; Value; Learning
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Huang, Guofang, Hong Luo, and Jing Xia. "Invest in Information or Wing It? A Model of Dynamic Pricing with Seller Learning." Management Science 65, no. 12 (December 2019): 5556–5583.
  • 04 Aug 2011
  • Working Paper Summaries

A Dynamic Perspective on Ambidexterity: Structural Differentiation and Boundary Activities

Keywords: by Sebastian Raisch & Michael L. Tushman
  • March–April 2014
  • Article

Do Bonuses Enhance Sales Productivity? A Dynamic Structural Analysis of Bonus-Based Compensation Plans

By: Doug J. Chung, Thomas Steenburgh and K. Sudhir
We estimate a dynamic structural model of sales force response to a bonus based compensation plan. Substantively, the paper sheds insights on how different elements of the compensation plan enhance productivity. We find evidence that: (1) bonuses enhance productivity... View Details
Keywords: Performance Productivity; Salesforce Management; Compensation and Benefits
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Chung, Doug J., Thomas Steenburgh, and K. Sudhir. "Do Bonuses Enhance Sales Productivity? A Dynamic Structural Analysis of Bonus-Based Compensation Plans." Marketing Science 33, no. 2 (March–April 2014): 165–187. (Lead article. Featured in HBS Working Knowledge.)
  • 2003
  • Working Paper

Dynamic Mixed Duopoly: A Model Motivated by Linux vs. Windows

By: Ramon Casadesus-Masanell and Pankaj Ghemawat
This paper analyzes a dynamic mixed duopoly in which a profit-maximizing competitor interacts with a competitor that prices at zero (or marginal cost), with the cumulation of output affecting their relative positions over time. The modeling effort is motivated by... View Details
Keywords: Business Model; Competition; Open Source Distribution; Balance and Stability; Applications and Software; Network Effects; Duopoly and Oligopoly
Citation
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Casadesus-Masanell, Ramon, and Pankaj Ghemawat. "Dynamic Mixed Duopoly: A Model Motivated by Linux vs. Windows." Harvard Business School Working Paper, No. 04-012, August 2003.
  • 2010
  • Working Paper

Do Bonuses Enhance Sales Productivity? A Dynamic Structural Analysis of Bonus-Based Compensation Plans

By: Doug J. Chung, Thomas J. Steenburgh and K. Sudhir
We estimate a dynamic structural model of sales force response to a bonus based compensation plan. The paper has two main methodological innovations: First, we implement empirically the method proposed by Arcidiacono and Miller (2010) to accommodate unobserved latent... View Details
Keywords: Compensation and Benefits; Performance Productivity; Mathematical Methods; Salesforce Management; Motivation and Incentives
Citation
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Chung, Doug J., Thomas J. Steenburgh, and K. Sudhir. "Do Bonuses Enhance Sales Productivity? A Dynamic Structural Analysis of Bonus-Based Compensation Plans." Harvard Business School Working Paper, No. 11-041, October 2010.
  • September 2019
  • Article

Optimizing Reserves in School Choice: A Dynamic Programming Approach

By: Franklyn Wang, Ravi Jagadeesan and Scott Duke Kominers
We introduce a new model of school choice with reserves in which a social planner is constrained by a limited supply of reserve seats and tries to find an optimal matching according to a social welfare function. We construct the optimal distribution of reserves via a... View Details
Keywords: Matching; Reserves; Dynamic Programming; Marketplace Matching; Mathematical Methods
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Wang, Franklyn, Ravi Jagadeesan, and Scott Duke Kominers. "Optimizing Reserves in School Choice: A Dynamic Programming Approach." Operations Research Letters 47, no. 5 (September 2019): 438–446.
  • 2025
  • Working Paper

Dynamic Personalization with Multiple Customer Signals: Multi-Response State Representation in Reinforcement Learning

By: Liangzong Ma, Ta-Wei Huang, Eva Ascarza and Ayelet Israeli
Reinforcement learning (RL) offers potential for optimizing sequences of customer interactions by modeling the relationships between customer states, company actions, and long-term value. However, its practical implementation often faces significant challenges.... View Details
Keywords: Dynamic Policy; Deep Reinforcement Learning; Representation Learning; Dynamic Difficulty Adjustment; Latent Variable Models; Customer Relationship Management; Customer Value and Value Chain; Foreign Direct Investment; Analytics and Data Science
Citation
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Ma, Liangzong, Ta-Wei Huang, Eva Ascarza, and Ayelet Israeli. "Dynamic Personalization with Multiple Customer Signals: Multi-Response State Representation in Reinforcement Learning." Harvard Business School Working Paper, No. 25-037, February 2025.
  • 1980
  • Working Paper

Components of Manufacturing Inventories: A Structural Model of the Production Process

By: Alan J. Auerbach and Jerry R. Green
This paper presents a structural model of production and inventory accumulation based on the hypothesis of cost minimization. It differs from previous attempts in several respects. First, it integrates the analysis of input inventories with output inventories, treating... View Details
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Auerbach, Alan J., and Jerry R. Green. "Components of Manufacturing Inventories: A Structural Model of the Production Process." NBER Working Paper Series, No. 491, June 1980.
  • October 1972
  • Article

A Dynamic Model for Bond Portfolio Management

By: D. B. Crane and S. P. Bradley
Keywords: Bonds; Investment; Management
Citation
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Crane, D. B., and S. P. Bradley. "A Dynamic Model for Bond Portfolio Management." Management Science 19, no. 2 (October 1972).
  • 12 Feb 2013
  • Working Paper Summaries

Do Bonuses Enhance Sales Productivity? A Dynamic Structural Analysis of Bonus-Based Compensation Plans

Keywords: by Doug J. Chung, Thomas Steenburgh & K. Sudhir
  • Research Summary

Structural Breaks in Dynamic Factor Models: Representation and Testing (with James Stock and Mark Watson)

We demonstrate the equivalence of various of structural break representations for approximate dynamic factor models and show that even in the presence of such breaks, the estimated factors consistently span the fundamental factor subspaces.  We propose tests to... View Details
  • 2003
  • Working Paper

Model Structure Analysis Through Graph Theory: Partition Heuristics and Feedback Structure Decomposition

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Oliva, Rogelio. "Model Structure Analysis Through Graph Theory: Partition Heuristics and Feedback Structure Decomposition." Harvard Business School Working Paper, No. 04-016, October 2003.
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