Amos G. Anderson

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All Rights Reserved ii iii This thesis is dedicated to my mother, iv Acknowledgements During my six years at Tech, I often felt I was leading multiple lives: the life my mom and relatives were familiar with, the life I had in Avery House, and the life of the Mayo lab. I did not mean for my stay to turn out this way, but I am grateful nonetheless. Each life(More)
Quantum Monte Carlo (QMC) is among the most accurate methods for solving the time independent Schrödinger equation. Unfortunately, the method is very expensive and requires a vast array of computing resources in order to obtain results of a reasonable convergence level. On the other hand, the method is not only easily parallelizable across CPU clusters, but(More)
In this paper, we introduce concepts of well-posedness, and well-posedness in the generalized sense, for mixed quasivariational-like inequalities where the underlying map is multivalued. We give necessary and sufficient conditions for the various kinds of well-posedness to occur. Our results generalize and strengthen previously found results for variational(More)
Two auction mechanisms are studied in which players compete with one another for an exogenously determined prize by independently submitting integer bids in some discrete and commonly known strategy space specified by the auctioneer. In the unique lowest (highest) bid auction game, the winner of the prize is the player who submits the lowest (highest) bid(More)
Experimental studies of common pool resource (CPR) dilemmas are frequently terminated with collapse of the resource; however, there is considerable evidence in real-world settings that challenge this finding. To reconcile this difference, we propose a two-stage model that links appropriation of the CPR and provision of public goods in an attempt to explain(More)
From transportation to Internet communications, modern life is enveloped in network traffic in which multiple independent users make strategic choices over congestible routes. While there has been phenomenal progress in computer science, economics, and transportation research in characterizing the outcomes in such contexts, most development is based on(More)
Most common pool resource (CPR) dilemmas share two features: they evolve over time and they are managed under environmental uncertainties. We propose a finite-horizon, stochastic, dynamic model that integrates these two dimensions. A distinguishing feature of our model is that the duration of the game is determined endogenously by the players' collective(More)
All Rights Reserved iii ACKNOWLEDGEMENTS A doctorate degree does not happen in a vacuum. It starts with a student's vision and utmost commitment. It is then seasoned with the experience, expert advice, inspiration, and guidance of others. I am eternally grateful to my research advisor, Dr. Stephen Quake, who has groomed me to become a first-rate independent(More)
We describe the Dynamic Distributable Decorrelation Algorithm (DDDA) which efficiently calculates the true statistical error of an expectation value obtained from serially correlated data "on-the-fly," as the calculation progresses. DDDA is an improvement on the Flyvbjerg-Petersen renormalization group blocking method (Flyvberg and Peterson, J Chem Phys(More)
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