Essays in Mechanism Design

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Release : 2008
Genre : Econometrics
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Essays in Mechanism Design - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Essays in Mechanism Design write by Levent Ulku. This book was released on 2008. Essays in Mechanism Design available in PDF, EPUB and Kindle. This dissertation consists of three essays in the theory of mechanism design under incomplete information. In the first essay, we analyze an implementation problem in which monetary transfers are feasible, valuations are interdependent and the set of available choices lies in a product space of lattices. This framework is general enough to subsume many interesting examples, including allocation problems with multiple objects. We identify a class of social choice rules which can be implemented in ex post equilibrium. We identify conditions under which ex post efficient social choice rules are implementable using monotone selection theory. The key conditions are extensions of the single crossing property and supermodularity. These conditions can be replaced with more tractable conditions in multiobject allocation problems with either two objects or two agents. I also show that the payments which implement monotone social decision rules coincide with the payments of (1) the classical Vickrey-Clarke-Groves mechanism with private values, and (2) the generalized Vickrey auction introduced by Ausubel [1999] in multiunit allocation problems. The second essay generalizes the analysis of optimal (revenue maximizing) mechanism design for the seller of a single object introduced by Myerson [1981]. We consider a problem in which the seller has several heterogeneous objects and buyers' valuations depend on each other's private information. We analyze two nonnested environments in which incentive constraints can be replaced with more tractable monotonicity conditions. We establish conditions under which these monotonicity conditions can be ignored, and show that several earlier analyses of the optimal mechanism design problem can be unified and generalized. In particular, problems with two complementary goods in Levin [1997] and multiunit auction problems in Maskin and Riley [1989] and Branco [1996] are special cases. The third essay considers the problem of selling internet advertising slots to advertisers. Under suitable conditions, we solve for the payments imposed by an optimal mechanism and show that it can be decentralized via prices using a linear assignment approach. At every configuration of private information, optimal mechanism can be interpreted as a menu consisting of a price for every slot.

Essays on Information Economics and Mechanism Design

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Release : 2010
Genre : Auctions
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Essays on Information Economics and Mechanism Design - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Essays on Information Economics and Mechanism Design write by Fangrui Ouyang. This book was released on 2010. Essays on Information Economics and Mechanism Design available in PDF, EPUB and Kindle.

Essays on Information in Dynamic Games and Mechanism Design

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Release : 2019
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Essays on Information in Dynamic Games and Mechanism Design - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Essays on Information in Dynamic Games and Mechanism Design write by Daehyun Kim. This book was released on 2019. Essays on Information in Dynamic Games and Mechanism Design available in PDF, EPUB and Kindle. This dissertation studies how asymmetric information between economic agents interacts with their incentive in dynamic games and mechanism design. Chapter 1 and Chapter 2 study this in mechanism design, especially focusing on robustness of mechanisms when a mechanism designer's knowledge on agents' belief and higher order beliefs is not perfect. In Chapter 1 we introduce a novel robustness notion into mechanism design, which we term confident implementation; and characterize confidently implementable social choice correspondences. In Chapter 2, we introduce another robust notion, p-dominant implementation where p [0, 1]N and N N is the number of agents, and fully characterize p-dominant implementable allocations in the quasilinear environment. Chapter 1 and Chapter 2 are related in the following way: for some range of p, a p-dominant implementable social choice correspondence is confidently implementable. In Chapter 3, we study information disclosure problem to manage reputation. To study this, we consider a repeated game in which there are a long-run player and a stream of short-run players; and the long-run player has private information about her type, which is either commitment or normal. We assume that the shot-run player only can observe the past K N periods of information disclosed by the long-run player. In this environment, we characterize the information disclosure behavior of the long-run player and also equilibrium dynamics whose shape critically depends on the prior.

Essays in Mechanism Design with Semi-exclusive Information and Wrong Beliefs

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Release : 2015
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Essays in Mechanism Design with Semi-exclusive Information and Wrong Beliefs - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Essays in Mechanism Design with Semi-exclusive Information and Wrong Beliefs write by Mingjun Xiao. This book was released on 2015. Essays in Mechanism Design with Semi-exclusive Information and Wrong Beliefs available in PDF, EPUB and Kindle. Mechanism design theories have established basic framework in studying economic problems where agents have private information and behave in their own interests. This framework provides a workhorse for exploring how to implement social choice rules in general. One typical issue is to analyze the decision-making by a social planner or a designer who aims to achieve efficient outcomes that maximize the joint welfare of all agents. Not surprisingly, efficiency essentially requires that the designer know the agents' private information and then choose the corresponding socially optimal outcome. However, the difficulty of mechanism design problem is to characterize these incentive constraints where agents find it optimal to reveal their private information truthfully. Specifically, sufficiently rich private information could entail non-implementability of efficient social choice rules. To overcome this difficulty, this dissertation considers a class of semi-exclusive information structures where agents may observe signals about payoff signals, and a class of problems where agents may have wrong beliefs or the mechanism designer is not informed about the agents' valuation functions, and proposes mechanisms that implement efficient allocations.

Essays in Mechanism Design

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Release : 2020
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Essays in Mechanism Design - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Essays in Mechanism Design write by Weixin Chen (Researcher in microeconomic theory). This book was released on 2020. Essays in Mechanism Design available in PDF, EPUB and Kindle. This thesis consists of three papers in mechanism design. Chapter 1 is based on a paper of mine entitled "Quality Disclosure and Price Discrimination". Chapter 2 is based on "Penalty, Voting, and Collusion: a Common Agency Approach to Industrial Regulation and Political Power". Chapter 3 is based on "Partitional Information Revelation under Renegotiation". A key framework in mechanism design is screening: a principal who designs the contract induces agents with private information to select certain action(s) or bundle(s). Classical results are second-best distortion and Myerson ironing, which are derived when the agency involves a single task (or tasks independent across agents), an agent's information is privately known by himself, and there is full commitment. Chapter 1 considers incentivizing tasks that are related through a resource constraint. It studies the second-degree price discrimination when the supply quality follows some exogenous distribution, or more specifically, the design of information and pricing in a monopolistic market with product quality dispersion. The main message is that optimality requires a partial disclosure, and finer results on the allocation distortion depend on the heterogeneity of the buyers' preference. When such preference over assignment, i.e., quality distribution, has a uni-dimensional sufficient statistics in the quality space, the optimal distortion resembles Myerson's ironing and the optimal disclosure takes a partitional form. For more general preference, the optimal distortion departs from Myerson's result. Chapter 2 considers eliciting signals informative of the agent's private information from multiple sources. An interesting case is by considering a voting committee as the principal, where voting aggregates welfare-relevant information but faces corruptive incentives. The key insights are that the optimal rule is a binary verdict, resembling the principle of maximum deterrence, and the corruptive incentives typically push the optimal voting rule towards unanimity. Chapter 3 considers commitment with renegotiation: the counterparties can stick to the previously signed long-term contract or revise it with mutual consent. More specifically, it studies a long-term relationship between a seller and a buyer whose valuation (for a per-period service or a rental good) is private. In such a dynamic game, a new dimension of mechanism design, namely intertemporal type separation, arises as its induced belief-updating affects the rent extraction--efficiency tradeoff. The main message is that all PBE share the following property in the progressive screening process: at each history, the seller partitions the posterior support into countable intervals and offers a pooling contract to each of these intervals.