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Title Statistical Revealed Preference Models for Bipartite Networks
Publication Date
Discipline/Department Statistics
University/Publisher UCLA
Abstract This dissertation focuses on investigating the driving factors behind the formation of connections in large two-mode networks. Assuming that network participants maximize their benefits, or "utilities", over their choices of connections, our primary research interest is to estimate a set of latent parameters that explains their "preferences" for choices of linkages. Discrete-choice models are incorporated into the proposed estimation framework to model decision-making behaviors. Most generative models for random graphs are based on the specification of a joint probability distribution over the observed pairings, with an emphasis on the structural properties of the networks. The method proposed here, however, takes into account the role of decision making and therefore offers insight into the rationale for the choices of connection. Understanding such decisions may in turn provide insights into any intervention that can induce the network connectivity into a more desirable state.The interest of this dissertation is limited to large bipartite networks in which edges occur only between nodes from different sets where the decision to form an edge is mutual. A non-transferable utility (NTU) setting is assumed and isolated nodes are allowed. The dissertation also includes an investigation of the statistical properties of one-to-many and many-to-many relationships and the specification of their statistical models. Inference for the preference parameters is then performed for the proposed statistical models, and simulations are used to evaluate their performance.
Subjects/Keywords Statistics; Economics; bipartite networks; computational statistics; discrete choice models; econometrics; game theory; matching theory
Language en
Rights public
Country of Publication us
Format application/pdf
Record ID california:qt0fm6h8gm
Other Identifiers qt0fm6h8gm
Repository california
Date Retrieved
Date Indexed 2019-06-03

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…population Approximation Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126 B Sampling Strategies and Matching Frequency Distribution . . . . . . . . 132 B.1 Application of Discrete-choice Models to Empirical Data…

…alternative over another indicates or reveals his or her preference for the characteristics of the alternative chosen. This idea, though prevalent in discrete-choice models where information about each alternative is observed, is not immediately applicable to…

…because he/she can only observe the attributes of the chosen alternative but cannot observe the agent’s constrained choice set. This difficulty is what sets the two-sided choice situations apart from the one-sided choice situations in discrete-choice

…condition is analogous to estimating two-sided discrete-choice problem with latent choice sets that are unknown to the researcher. 6 1.1.5 Independence from Irrelevant Alternatives (IIA) From the definition in section 1.1.1, the random taste…

…foundation for the development of our proposed estimation method. We begin with an overview of discrete-choice models that are widely used in econometrics to model and predict decision-making behavior. We then summarize the key ideas from a Bayesian method by…

…Logan, Hoff, and Newton. Finally, we present the key findings from a large-population approximation method by Menzel. 2.1 Discrete-Choice Models Discrete-choice models attempt to approximate the probability of a decision maker choosing a particular…

…different from what discrete-choice models are intended to solve. Nevertheless, discrete-choice models can be used as key components in estimating the preference parameters in two-sided choice problems. 2.1.1 Derivation of Choice Probabilities Most…

discrete-choice models are derived under the assumption of utility-maximizing behavior by the decision makers. Therefore, the derivation assures that the model is consistent with such behavior, but this does not preclude its application to other types of…