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  • All HBS Web  (49)
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    • All HBS Web  (49)
      • Faculty Publications  (25)

      Stochastic ModelsRemove Stochastic Models →

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      • March 2022
      • Article

      Sensitivity Analysis of Agent-based Models: A New Protocol

      By: Emanuele Borgonovo, Marco Pangallo, Jan Rivkin, Leonardo Rizzo and Nicolaj Siggelkow
      Agent-based models (ABMs) are increasingly used in the management sciences. Though useful, ABMs are often critiqued: it is hard to discern why they produce the results they do and whether other assumptions would yield similar results. To help researchers address such... View Details
      Keywords: Agent-based Modeling; Sensitivity Analysis; Design Of Experiments; Total Order Sensitivity Indices; Organizations; Behavior; Decision Making; Mathematical Methods
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      Borgonovo, Emanuele, Marco Pangallo, Jan Rivkin, Leonardo Rizzo, and Nicolaj Siggelkow. "Sensitivity Analysis of Agent-based Models: A New Protocol." Computational and Mathematical Organization Theory 28, no. 1 (March 2022): 52–94.
      • September–October 2020
      • Article

      Managing Churn to Maximize Profits

      By: Aurelie Lemmens and Sunil Gupta
      Customer defection threatens many industries, prompting companies to deploy targeted, proactive customer retention programs and offers. A conventional approach has been to target customers either based on their predicted churn probability or their responsiveness to a... View Details
      Keywords: Churn Management; Defection Prediction; Loss Function; Stochastic Gradient Boosting; Customer Relationship Management; Consumer Behavior; Profit
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      Lemmens, Aurelie, and Sunil Gupta. "Managing Churn to Maximize Profits." Marketing Science 39, no. 5 (September–October 2020): 956–973.
      • 2019
      • Working Paper

      Design Rules, Volume 2: How Technology Shapes Organizations: Chapter 8 Rationalizing Flow Processes

      By: Carliss Y. Baldwin
      The purpose of this chapter is to examine the value structure of flow production processes and to explain why it is necessary to rationalize flow processes using the tools of systematic management. I first explain the problems facing managers of multi-step flow... View Details
      Keywords: Flow Processes; Bottlenecks; Systematic Management; Production; Management; Problems and Challenges
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      Baldwin, Carliss Y. "Design Rules, Volume 2: How Technology Shapes Organizations: Chapter 8 Rationalizing Flow Processes." Harvard Business School Working Paper, No. 20-032, September 2019.
      • 2020
      • Working Paper

      To Infinity and Beyond: Scaling Economic Theories via Logical Compactness

      By: Yannai A. Gonczarowski, Scott Duke Kominers and Ran I. Shorrer
      Many economic-theoretic models incorporate finiteness assumptions that, while introduced for simplicity, play a real role in the analysis. Such assumptions introduce a conceptual problem, as results that rely on finiteness are often implicitly nonrobust; for example,... View Details
      Keywords: Markets; Analysis; Game Theory
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      Gonczarowski, Yannai A., Scott Duke Kominers, and Ran I. Shorrer. "To Infinity and Beyond: Scaling Economic Theories via Logical Compactness." Harvard Business School Working Paper, No. 19-127, June 2019. (Revised November 2020.)
      • Article

      De Gustibus non est Taxandum: Heterogeneity in Preferences and Optimal Redistribution

      By: Benjamin B Lockwood and Matthew Weinzierl
      The prominent but unproven intuition that preference heterogeneity reduces redistribution in a standard optimal tax model is shown to hold under the plausible condition that the distribution of preferences for consumption relative to leisure rises, in terms of... View Details
      Keywords: Motivation and Incentives; Income; Decision Choices and Conditions; Consumer Behavior; Taxation; Microeconomics; Macroeconomics
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      Lockwood, Benjamin B., and Matthew Weinzierl. "De Gustibus non est Taxandum: Heterogeneity in Preferences and Optimal Redistribution." Journal of Public Economics 124 (April 2015): 74–80. (Also NBER Working Paper Series, No. 17784, September 2014 and Harvard Business School Working Paper, No. 12-063, January 2012.)
      • 2015
      • Chapter

      Optimal Process Control of Symbolic Transfer Functions

      By: Christopher Griffin and Elisabeth Paulson
      Transfer function modeling is a standard technique in classical Linear Time Invariant and Statistical Process Control. The work of Box and Jenkins was seminal in developing methods for identifying parameters associated with classical (r, s, k) transfer functions.... View Details
      Keywords: Transfer Functions; Markov Processes; Stochastic Models; Process Control; Research; Information Technology
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      Griffin, Christopher, and Elisabeth Paulson. "Optimal Process Control of Symbolic Transfer Functions." In Proceedings of the 10th International Workshop on Feedback Computing. IEEE, 2015.
      • Article

      Analyzing Scrip Systems

      By: Kris Johnson, David Simchi-Levi and Peng Sun
      Scrip systems provide a nonmonetary trade economy for exchange of resources. We model a scrip system as a stochastic game and study system design issues on selection rules to match potential trade partners over time. We show the optimality of one particular rule in... View Details
      Keywords: "Repeated Games"; Stochastic Trust Game; Dynamic Program; P2P Lending; Scrip Systems; Artificial Currency; Non-monetary Trade Economies; Marketplace Matching; Currency; Operations; Game Theory
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      Johnson, Kris, David Simchi-Levi, and Peng Sun. "Analyzing Scrip Systems." Operations Research 62, no. 3 (May–June 2014): 524–534.
      • Article

      Delayed-Response Strategies in Repeated Games with Observation Lags

      By: Drew Fudenberg, Yuhta Ishii and Scott Duke Kominers
      We extend the folk theorem of repeated games to two settings in which players' information about others' play arrives with stochastic lags. In our first model, signals are almost-perfect if and when they do arrive, that is, each player either observes an almost-perfect... View Details
      Keywords: "Repeated Games"; Folk Theorem; Private Monitoring; Observation Lag; Game Theory
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      Fudenberg, Drew, Yuhta Ishii, and Scott Duke Kominers. "Delayed-Response Strategies in Repeated Games with Observation Lags." Journal of Economic Theory 150 (March 2014): 487–514.
      • 2019
      • Working Paper

      Managing Churn to Maximize Profits

      By: Aurelie Lemmens and Sunil Gupta
      Customer defection threatens many industries, prompting companies to deploy targeted, proactive customer retention programs and offers. A conventional approach has been to target customers either based on their predicted churn probability, or their responsiveness to a... View Details
      Keywords: Churn Management; Defection Prediction; Loss Function; Stochastic Gradient Boosting; Customer Relationship Management; Consumer Behavior; Profit
      Citation
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      Lemmens, Aurelie, and Sunil Gupta. "Managing Churn to Maximize Profits." Harvard Business School Working Paper, No. 14-020, September 2013. (Revised December 2019. Forthcoming at Marketing Science.)
      • 2014
      • Working Paper

      De Gustibus non est Taxandum: Heterogeneity in Preferences and Optimal Redistribution

      By: Benjamin B Lockwood and Matthew Weinzierl
      The prominent but unproven intuition that preference heterogeneity reduces redistribution in a standard optimal tax model is shown to hold under the plausible condition that the distribution of preferences for consumption relative to leisure rises, in terms of... View Details
      Keywords: Spending; Policy; Taxation; Theory; United States
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      Lockwood, Benjamin B., and Matthew Weinzierl. "De Gustibus non est Taxandum: Heterogeneity in Preferences and Optimal Redistribution." Harvard Business School Working Paper, No. 12-063, January 2012. (Updated September 2014. NBER Working Paper Series, No. 17784. Published in Journal of Public Economics.)
      • January 2010
      • Journal Article

      A Choice Prediction Competition: Choices from Experience and from Description

      By: Ido Erev, Eyal Ert, Alvin E. Roth, Ernan E. Haruvy, Stefan Herzog, Robin Hau, Ralph Hertwig, Terrence Steward, Robert West and Christian Lebiere
      Erev, Ert, and Roth organized three choice prediction competitions focused on three related choice tasks: one-shot decisions from description (decisions under risk), one-shot decisions from experience, and repeated decisions from experience. Each competition was based... View Details
      Keywords: Experience and Expertise; Decision Choices and Conditions; Forecasting and Prediction; Mathematical Methods; Risk and Uncertainty; Competition
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      Erev, Ido, Eyal Ert, Alvin E. Roth, Ernan E. Haruvy, Stefan Herzog, Robin Hau, Ralph Hertwig, Terrence Steward, Robert West, and Christian Lebiere. "A Choice Prediction Competition: Choices from Experience and from Description." Special Issue on Decisions from Experience. Journal of Behavioral Decision Making 23, no. 1 (January 2010).
      • February 2009
      • Article

      Optimal Reserve Management and Sovereign Debt

      By: Laura Alfaro and Fabio Kanczuk
      Most models currently used to determine optimal foreign reserve holdings take the level of international debt as given. However, given the sovereign's willingness-to-pay incentive problems, reserve accumulation may reduce sustainable debt levels. In addition, assuming... View Details
      Keywords: Borrowing and Debt; Motivation and Incentives; Decisions; Emerging Markets; Balance and Stability; Earnings Management; Policy; Interest Rates; International Finance; Cost
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      Alfaro, Laura, and Fabio Kanczuk. "Optimal Reserve Management and Sovereign Debt." Journal of International Economics 77, no. 1 (February 2009): 23–36. (Also Harvard Business School Working Paper, No. 07-010, 2006 and NBER Working Paper No. 13216.)
      • 2007
      • Working Paper

      Optimal Reserve Management and Sovereign Debt

      By: Laura Alfaro and Fabio Kanczuk
      Most models currently used to determine optimal foreign reserve holdings take the level of international debt as given. However, given the sovereign's willingness-to-pay incentive problems, reserve accumulation may reduce sustainable debt levels. In addition, assuming... View Details
      Keywords: Sovereign Finance; Borrowing and Debt; Financial Liquidity; International Finance; Emerging Markets; Mathematical Methods
      Citation
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      Alfaro, Laura, and Fabio Kanczuk. "Optimal Reserve Management and Sovereign Debt." NBER Working Paper Series, No. 13216, July 2007.
      • February 1991
      • Article

      Stochastic Models of Interpurchase Time with Time-Dependent Covariates

      By: Sunil Gupta
      Keywords: Theory; Sales
      Citation
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      Gupta, Sunil. "Stochastic Models of Interpurchase Time with Time-Dependent Covariates." Journal of Marketing Research (JMR) 28 (February 1991): 1–15.
      • December 1987
      • Article

      A Stochastic Three-Way Unfolding Model for Asymmetric Binary Data

      By: Wayne S. DeSarbo, Donald R. Lehmann, Morris B. Holbrook, William J. Havlena and Sunil Gupta
      Citation
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      DeSarbo, Wayne S., Donald R. Lehmann, Morris B. Holbrook, William J. Havlena, and Sunil Gupta. "A Stochastic Three-Way Unfolding Model for Asymmetric Binary Data." Applied Psychological Measurement 11 (December 1987): 397–418.
      • 1987
      • Chapter

      Continuous-Time Stochastic Models

      By: Robert C. Merton
      Keywords: Mathematical Methods
      Citation
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      Merton, Robert C. "Continuous-Time Stochastic Models." In The New Palgrave: A Dictionary of Economic Theory and Doctrine, edited by John Eatwell, Murray Milgate, and Peter Newman. London: Macmillan Press, 1987. (Revised in The New Palgrave Dictionary of Money and Finance, London: MacMillan Press, Ltd., 1992.)
      • June 1983
      • Article

      A Comparison of Tournaments and Contracts

      By: Jerry R. Green and Nancy Stokey
      Tournaments, reward structures based on rank order, are compared with individual contracts in a model with one risk-neutral principal and many risk-averse agents. Each agent's output is a stochastic function of his effort level plus an additive shock term that is... View Details
      Keywords: Tournaments; Contracts
      Citation
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      Green, Jerry R., and Nancy Stokey. "A Comparison of Tournaments and Contracts." Journal of Political Economy 91, no. 3 (June 1983): 349–364.
      • 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.
      • Article

      Optimal Capital-Gains Taxation under Limited Information

      By: Jerry R. Green and Eytan Sheshinski
      Taxation of capital gains at realization may distort individuals' decisions regarding holding or selling during an asset's lifetime. This creates the problem of designing a tax structure for capital gains so as to induce efficient patterns of holding and selling.... View Details
      Keywords: Capital Gains; Optimal Taxation; Taxation
      Citation
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      Green, Jerry R., and Eytan Sheshinski. "Optimal Capital-Gains Taxation under Limited Information." Journal of Political Economy 86, no. 6 (December 1978): 1143–1158.
      • Article

      The Nature of Stochastic Equilibria

      By: Jerry R. Green and Mukul Majumdar
      This paper formulates the notion of stochastic equilibria as invariant probability distributions consistent with the behavior patterns of individuals and the disequilibrium adjustment mechanism of the economy. Conditions for existence, uniqueness, and stability of such... View Details
      Keywords: Stochastic Equilibria; Econometric Models
      Citation
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      Green, Jerry R., and Mukul Majumdar. "The Nature of Stochastic Equilibria." Econometrica 43, no. 4 (July 1975): 647–660.
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