Dynamic Revenue Maximization: A Continuous Time Approach
We characterize the revenue-maximizing mechanism for time separable allocation problems in continuous time. The valuation of each agent is private information and changes over time. At the time of contracting every agent privately observes his initial type which influences the evolution of his valuation process. The leading example is the repeated sales of a good or a service. We derive the optimal dynamic mechanism, analyze its qualitative structure and frequently derive its closed form solution. This enables us to compare the distortion in various settings. In particular, we discuss the cases where the type of each agent follows an arithmetic or geometric Brownian motion or a mean reverting process. We show that depending on the nature of the private information the distortion might increase or decrease over time.
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- Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
- Pascal Courty & Li Hao, 2000. "Sequential Screening," Review of Economic Studies, Oxford University Press, vol. 67(4), pages 697-717.
- Baron, David P. & Besanko, David, 1984. "Regulation and information in a continuing relationship," Information Economics and Policy, Elsevier, vol. 1(3), pages 267-302.
- Dirk Bergemann & Juuso V‰lim‰ki, 2010.
"The Dynamic Pivot Mechanism,"
Econometric Society, vol. 78(2), pages 771-789, March.
- Dirk Bergemann & Juuso Valimaki, 2008. "The Dynamic Pivot Mechanism," Cowles Foundation Discussion Papers 1672, Cowles Foundation for Research in Economics, Yale University.
- Dirk Bergemann & Juuso Valimaki, 2008. "The Dynamic Pivot Mechanism," Cowles Foundation Discussion Papers 1672R, Cowles Foundation for Research in Economics, Yale University, revised Dec 2009.
- Dirk Bergemann & Juuso Välimäki, 2008. "The Dynamic Pivot Mechanism," Levine's Working Paper Archive 122247000000002340, David K. Levine.
- Besanko, David, 1985. "Multi-period contracts between principal and agent with adverse selection," Economics Letters, Elsevier, vol. 17(1-2), pages 33-37.
- PETER M. DeMARZO & YULIY SANNIKOV, 2006. "Optimal Security Design and Dynamic Capital Structure in a Continuous-Time Agency Model," Journal of Finance, American Finance Association, vol. 61(6), pages 2681-2724, December.
- Board, Simon, 2007. "Selling options," Journal of Economic Theory, Elsevier, vol. 136(1), pages 324-340, September.
- Michael D. Grubb & Matthew Osborne, 2015.
"Cellular Service Demand: Biased Beliefs, Learning, and Bill Shock,"
American Economic Review,
American Economic Association, vol. 105(1), pages 234-271, January.
- Michael D. Grubb & Matthew Osborne, 2012. "Cellular Service Demand: Biased Beliefs, Learning, and Bill Shock," Boston College Working Papers in Economics 829, Boston College Department of Economics.
- Daniel F. Garrett & Alessandro Pavan, 2012. "Managerial Turnover in a Changing World," Journal of Political Economy, University of Chicago Press, vol. 120(5), pages 879-925.
- Marco Battaglini, 2005.
"Long-Term Contracting with Markovian Consumers,"
American Economic Review,
American Economic Association, vol. 95(3), pages 637-658, June.
- Marco Battaglini, 2003. "Long-Term Contracting with Markovian Consumers," Theory workshop papers 505798000000000048, UCLA Department of Economics.
- Andrzej Skrzypacz & Juuso Toikka, 2015. "Mechanisms for Repeated Trade," American Economic Journal: Microeconomics, American Economic Association, vol. 7(4), pages 252-293, November.
- Alessandro Pavan & Ilya Segal & Juuso Toikka, 2014. "Dynamic Mechanism Design: A Myersonian Approach," Econometrica, Econometric Society, vol. 82(2), pages 601-653, March.
- Stefano DellaVigna & Ulrike Malmendier, 2006. "Paying Not to Go to the Gym," American Economic Review, American Economic Association, vol. 96(3), pages 694-719, June.
- Raphael Boleslavsky & Maher Said, 2013. "Progressive Screening: Long-Term Contracting with a Privately Known Stochastic Process," Review of Economic Studies, Oxford University Press, vol. 80(1), pages 1-34.
- Ralph Boleslavsky & Maher Said, 2011. "Progressive Screening: Long-Term Contracting with a Privately Known Stochastic Process," Working Papers 2011-5, University of Miami, Department of Economics.
- Rochet, Jean-Charles, 1987. "A necessary and sufficient condition for rationalizability in a quasi-linear context," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 191-200, April. Full references (including those not matched with items on IDEAS)
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