Dynamic games and mechanisms with serially dependent private information

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Abstract/Contents

Abstract
This dissertation consists of three essays. In "A Folk Theorem with Markovian Private Information" (with Juan F. Escobar) we consider repeated Bayesian two-player games in which the players' types evolve according to an irreducible Markov chain, type transitions are independent across players, and players have private values. The main result shows that, with communication, any Pareto efficient payoff vector above a minmax value can be approximated arbitrarily closely in a perfect Bayesian equilibrium as the discount factor goes to one. In the second essay, "Dynamic Mechanism Design: Incentive Compatibility, Profit Maximization, and Information Disclosure" (with Alessandro Pavan and Ilya R. Segal), we examine the design of dynamic screening mechanisms for environments in which the agents' types follow a stochastic process, decisions may be made over time, and the decisions may affect the type process. We derive a formula for an agent's equilibrium payoff in an incentive-compatible mechanism, which generalizes Mirrlees's envelope formula of static mechanism design. When specialized to quasi-linear environments, the formula yields a dynamic revenue-equivalence result and an expression for dynamic virtual surplus, which is instrumental for the design of profit-maximizing mechanisms. We also provide sufficient conditions for incentive compatibility. We apply the results to derive optimal dynamic contracts for a number of novel settings. The final essay, "Ironing without Control, " extends a method for solving a class of optimization problems, encountered frequently in mechanism design, where a functional is maximized over the set of nondecreasing functions. For example, the approach can be used to solve principal-agent models with adverse selection.

Description

Type of resource text
Form electronic; electronic resource; remote
Extent 1 online resource.
Publication date 2010
Issuance monographic
Language English

Creators/Contributors

Associated with Toikka, Juuso Tuomas
Associated with Stanford University, Department of Economics
Primary advisor Segal, Ilya
Thesis advisor Segal, Ilya
Thesis advisor Bagwell, Kyle
Thesis advisor Jackson, Matthew O
Thesis advisor Skrzypacz, Andrzej, 1973-
Advisor Bagwell, Kyle
Advisor Jackson, Matthew O
Advisor Skrzypacz, Andrzej, 1973-

Subjects

Genre Theses

Bibliographic information

Statement of responsibility Juuso Tuomas Toikka.
Note Submitted to the Department of Economics.
Thesis Ph. D. Stanford University 2010
Location electronic resource

Access conditions

Copyright
© 2010 by Juuso Tuomas Toikka
License
This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

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