Three essays on random mechanism design

Three essays on random mechanism design

Author: Huaxia Zeng

Publisher:

Published: 2016

Total Pages: 163

ISBN-13:

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"This dissertation studies a standard voting formulation with randomization. Formally, there is a finite set of voters, a finite set of alternatives and a lottery space over the alternative set. Each voter has a strict preference over alternatives. The domain of preferences contains all admissible preferences. Every voter reports a preference in the domain; a preference profile is generated; and the social lottery then is determined by a Random Social Choice Function (or RSCF). This dissertation focuses on RSCFs which provide every voter incentives to truthfully reveal her preference, and hence follows the formulation of strategy proofness in [26] which requires that the lottery under truth telling (first-order) stochastically dominates the lottery under any misrepresentation according to every voter’s true preference independently of others’ behaviors. Moreover, this dissertation restricts attention to the class of unanimous RSCFs, that is, if the alternative is the best for all voters in a preference profile, it receives probability one. A typical class of unanimous and strategy-proof RSCFs is random dictatorships. A domain is a random dictatorship domain if every unanimous and strategy proof RSCF is a random dictatorship... "-- Author's abstract.


Three Essays in Economics

Three Essays in Economics

Author: Ran Shao

Publisher:

Published: 2011

Total Pages: 115

ISBN-13:

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This dissertation presents three essays in economics. Firstly, I study the problem of allocating an indivisible good between two agents under incomplete information. I provide a characterization of mechanisms that maximize the sum of the expected utilities of the agents among all feasible strategy-proof mechanisms: Any optimal mechanism must be a convex combination of two fixed price mechanisms and two option mechanisms. Secondly, I study the problem of allocating a non-excludable public good between two agents under incomplete information. An equal-cost sharing mechanism which maximizes the sum of the expected utilities of the agents among all feasible strategy-proof mechanisms is proved to be optimal. Under the equal-cost sharing mechanism, when the built cost is low, the public good is provided whenever one of the agents is willing to fund it at half cost; when the cost is high, the public good is provided only if both agents are willing to fund it. Thirdly, I analyze the problem of matching two heterogeneous populations. If the payoff from a match exhibits complementarities, it is well known that absent any friction positive assortative matching is optimal. Coarse matching refers to a situation in which the populations into a finite number of classes, then randomly matched within these classes. The focus of this essay is the performance of coarse matching schemes with a finite number of classes. The main results of this essay are the following ones. First, assuming a multiplicative match payoff function, I derive a lower bound on the performance of n-class coarse matching under mild conditions on the distributions of agents' characteristics. Second, I prove that this result generalizes to a large class of match payoff functions. Third, I show that these results are applicable to a broad class of applications, including a monopoly pricing problem with incomplete information, as well as to a cost-sharing problem with incomplete information. In these problems, standard models predict that optimal contracts sort types completely. The third result implies that a monopolist can capture a large fraction of the second-best profits by offering pooling contracts with a small number of qualities.


Essays in Mechanism Design

Essays in Mechanism Design

Author: Guilherme Pereira de Freitas

Publisher:

Published: 2013

Total Pages: 0

ISBN-13:

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This dissertation contains three essays on mechanism design. The common goal of these essays is to assist in the solution of different resource allocation problems where asymmetric information creates obstacles to the efficient allocation of resources. In each essay, we present a mechanism that satisfactorily solves the resource allocation problem and study some of its properties. In our first essay, "Combinatorial Assignment under Dichotomous Preferences", we present a class of problems akin to time scheduling without a pre-existing time grid, and propose a mechanism that is efficient, strategy-proof and envy-free. Our second essay, "Monitoring Costs and the Management of Common-Pool Resources", studies what can happen to an existing mechanism - the individual tradable quotas (ITQ) mechanism, also known as the cap-and-trade mechanism - when quota enforcement is imperfect and costly. Our third essay, "Vessel Buyback", coauthored with John O. Ledyard, presents an auction design that can be used to buy back excess capital in overcapitalized industries.


Essays in Theoretical and Behavioral Economics

Essays in Theoretical and Behavioral Economics

Author: Shengwu Li

Publisher:

Published: 2016

Total Pages:

ISBN-13:

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This dissertation consists of three essays in theoretical and behavioral economics. They all concern decision-making in complex environments. The first chapter is entitled Obviously Strategy-Proof Mechanisms. It is generally held that some strategy-proof mechanisms are easy for non-experts to understand, and others are difficult to understand. However, this distinction is not captured by standard game theory. In this chapter, I define obviously dominant strategies. Whether a strategy is obviously dominant depends (just) on the extensive game form. I characterize this definition in two ways: Obviously dominant strategies are exactly those strategies that a cognitively limited agent can recognize as dominant. Obviously strategy-proof (OSP) mechanisms are those that can be run by a social planner with only partial commitment power. For an environment with one-dimensional types and transfers, I characterize the OSP mechanisms and the OSP-implementable allocation rules. I test and corroborate the theory with a laboratory experiment. The second chapter is entitled Context Effects as Explained by Foraging Theory, and is coauthored with Neil Yu. This chapter reconciles two seemingly competing explanations of context-dependent choice, one invoking psychological mechanisms, and the other Bayesian learning. We prove that standard context effects are features of the optimal solution to a general dynamic stochastic resource- acquisition problem. The model has two key ingredients: inter-temporal substitution and learning about the environment. Interpreted as a description of animal foraging behavior, it explains why context effects might be adaptive in nature. Interpreted as a description of consumer choice problems, it suggests that context effects might result from rational inference. A simple experiment shows that the latter interpretation sometimes holds. The third chapter is entitled Thickness and Information in Dynamic Matching Markets, and is coauthored with Mohammad Akbarpour and Shayan Oveis Gharan. We introduce a simple model of dynamic matching in networked markets, where agents arrive and depart stochastically, and the composition of the trade network depends endogenously on the matching algorithm. We show that if the planner can identify agents who are about to depart, then waiting to thicken the market is highly valuable, and if the planner cannot identify such agents, then matching agents greedily is close to optimal. We characterize the optimal waiting time (in a restricted class of mechanisms) as a function of waiting costs and network sparsity. The planner's decision problem in our model involves a combinatorially complex state space. However, we show that simple local algorithms that choose the right time to match agents, but do not exploit the global network structure, can perform close to complex optimal algorithms. Finally, we consider a setting where agents have private information about their departure times, and design a continuous-time dynamic mechanism to elicit this information.