Multi-unit assignment under dichotomous preferences

I study the problem of allocating objects among agents without using money. Agents can receive several objects and have dichotomous preferences, meaning that they either consider objects to be acceptable or not. In this set-up, the egalitarian solution is more appealing than the competitive equilibrium with equal incomes because it is Lorenz dominant, unique in utilities, and group strategy- proof. Both solutions are disjoint

Improving efficiency and equality in school choice

How should students be assigned to schools? Two mechanisms have been suggested and implemented around the world: deferred acceptance (DA) and top trading cycles (TTC). These two mechanisms are widely considered excellent choices because they are strategy-proof, in addition to DA's no justified envy and TTC's Pareto optimality. We show theoretically and empirically that both mechanisms perform poorly with regard to two key desiderata such as efficiency and equality, even in large markets. In contrast, the rank-minimizing mechanism (RM) is significantly more efficient and egalitarian. It is also Pareto optimal for the students, unlike DA, and generates less justified envy than TTC

Toeplitz Operators on Two Poly-Bergman-Type Spaces of the Siegel Domain D2⊂C2D_2 \subset \mathbb{C}^2 with Continuous Nilpotent Symbols

We describe certain $C^*$-algebras generated by Toeplitz operators with nilpotent symbols and acting on a poly-Bergman type space of the Siegel domain $D_{2} \subset \mathbb{C}^{2}$. Bounded measurable functions of the form $\tilde{c}(\zeta) = c(\text{Im}\, \zeta_{1}, \text{Im}\, \zeta_{2} - |\zeta_1|^{2})$ are called nilpotent symbols. In this work we consider symbols of the form $\tilde{a}(\zeta) = a(\text{Im}\, \zeta_1)$ and $\tilde{b}(\zeta) = b(\text{Im}\, \zeta_2 -|\zeta_1|^{2})$, where both limits $\lim\limits_{s\rightarrow 0^+} b(s)$ and $\lim\limits_{s\rightarrow +\infty} b(s)$ exist, and $a$ belongs to the set of piece-wise continuous functions on $\overline{\mathbb{R}}=[-\infty,+\infty]$ and with one-sided limits at $0$. We describe certain $C^*$-algebras generated by such Toeplitz operators that turn out to be isomorphic to subalgebras of $M_n(\mathbb{C}) \otimes C(\overline{\Pi})$, where $\overline{\Pi}=\overline{\mathbb{R}} \times \overline{\mathbb{R}}_+$ and $\overline{\mathbb{R}}_+=[0,+\infty]$

Toeplitz Operators Acting on True-Poly-Bergman Type Spaces of the Two-Dimensional Siegel Domain: Nilpotent Symbols

We describe certain $C^*$-algebras generated by Toeplitz operators with nilpotent symbols and acting on a poly-Bergman type space of the Siegel domain $D_{2} \subset \mathbb{C}^{2}$. Bounded measurable functions of the form $c(\text{Im}\, \zeta_{1}, \text{Im}\, \zeta_{2} - |\zeta_1|^{2})$ are called nilpotent symbols. In this work we consider symbols of the form $a(\text{Im}\, \zeta_1) b(\text{Im}\, \zeta_2 -|\zeta_1|^{2})$, where both limits $\lim\limits_{s\rightarrow 0^+} b(s)$ and $\lim\limits_{s\rightarrow +\infty} b(s)$ exist, and $a(s)$ belongs to the set of piece-wise continuous functions on $\overline{\mathbb{R}}=[-\infty,+\infty]$ and having one-side limit values at each point of a finite set $D\subset \mathbb{R}$. We prove that the $C^*$-algebra generated by all Toeplitz operators $T_{ab}$ is isomorphic to $C(\overline{\Pi})$, where $\overline{\Pi}=\overline{\mathbb{R}} \times \overline{\mathbb{R}}_+$ and $\overline{\mathbb{R}}_+=[0,+\infty]$.Comment: arXiv admin note: substantial text overlap with arXiv:2306.0238

What happens when separate and unequal school districts merge?

We study the welfare effects of school district consolidation, i.e. the integration of disjoint school districts into a centralised clearinghouse. We show theoretically that, in the worst-case scenario, district consolidation may unambiguously reduce students’ welfare, even if the student-optimal stable matching is consistently chosen. However, on average all students experience expected welfare gains from district consolidation, particularly those who belong to smaller and over-demanded districts. Using data from the Hungarian secondary school assignment mechanism, we compute the actual welfare gains from district consolidation in Budapest and compare these to our theoretical predictions. We empirically document substantial welfare gains from district consolidation for students, equivalent to attending a school five kilometres closer to the students’ home addresses. As an important building block of our empirical strategy, we describe a method to consistently estimate students’ preferences over schools and vice versa that does not fully assume that students report their preferences truthfully in the student-proposing deferred acceptance algorithm

Fair Cake-Cutting in Practice

Using a lab experiment, we investigate the real-life performance of envy-free and proportional cake-cutting procedures with respect to fairness and preference manipulation. We find that envy-free procedures, in particular Selfridge-Conway, are fairer and also are perceived as fairer than their proportional counterparts, despite the fact that agents very often manipulate them. Our results support the practical use of the celebrated Selfridge-Conway procedure, and more generally, of envy-free cake-cutting mechanisms. We also find that subjects learn their opponents' preferences after repeated interaction and use this knowledge to improve their allocated share of the cake. Learning reduces truth-telling behavior, but also reduces envy

Segregación socio espacial y su influencia en la estructura urbana entre los barrios Casas Huertas y Barrio Medico, Surquillo, 2021

La investigación tuvo como objetivo determinar de qué manera la segregación socio espacial influye en la estructura urbana entre los barrios Casas Huertas y Barrio Médico, Surquillo, 2021. Se desarrolló bajo el nivel correlacional – descriptiva, de enfoque mixto y tipo básica, diseño no experimental de corte transversal. La población estuvo conformada por habitantes del barrio Casas Huertas y Barrio Médico con 8816 habitantes, para la muestra se utilizó la fórmula de la media poblacional, se obtuvo una muestra de 100 habitantes, para la recolección de datos se utilizó la encuesta y como instrumento cuantitativo un cuestionario de 18 ítems con escala de Likert y como instrumentos cualitativos una entrevista semi estructurada y fichas de observación. Procesando datos en el programa estadístico SPSS, teniendo como resultado de Rho de Spearman el valor de ,809 teniendo una correlación positiva muy fuerte, del mismo modo el coeficiente de Pearson dio como resultado el valor de ,721 con una correlación positiva considerable; afirmando que ambas variables están relacionadas, confirmando así la aceptación de la hipótesis alternativa donde “El aspecto físico, funcional y simbólico de la segregación socio espacial influyen significativamente en la estructura urbana entre los barrios Casas Huertas y Barrio Medico, Surquillo, 2021

DISEÑO Y CONSTRUCCIÓN DE UN ACCESO DIRECTO A MEMORIA UTILIZANDO EL LENGUAJE VHDL Y LOS DISPOSITIVOS FPGA: UNA REVISIÓN SITEMÁTICA DE LITERATURA

The present work is a systematic review of the literature is the result of previous work for the construction of a Direct Memory Access (DMA) using the VHDL hardware description language, the Field-programmable gate array devices (FPGA) and some algorithms for the programming of these devices, the main objective of this study is to provide an effective methodology for modeling the DMA controller ensuring proper access to data by optimizing resources for each of the relevant transactions, Another objective is to know the different architectures that exist and the configuration of the devices for a much simpler and optimal implementation, the literature research includes a framework of the Systematic Literature Review process on primary studies focused on the search of articles related to architecture, design and algorithms used to build the DMA Controller using FPGA and VHDL. The results of the review show that there is a great variety of DMA architectures, the use of these architectures depends on the type of transmission you want to make and the types of data involved in the transaction, there are also several design models in multiple programming and modeling languages, according to the DMA architecture, there is the improved architecture of the controller that greatly helps to reduce processing latency, as well as the presence of a specific architecture needed for read/write image and videoEl presente trabajo es una revisión sistemática de la literatura es el resultado de un trabajo previo para la construcción de un Acceso Directo a Memoria (DMA) utilizando el lenguaje de descripción de hardware VHDL, los dispositivos Field-programmable gate array (FPGA) y algunos algoritmos para la programación de estos dispositivos, el objetivo principal de este estudio es proporcionar una metodología eficaz para modelar el controlador de la DMA asegurando un acceso adecuado a los datos optimizando los recursos para cada una de las transacciones relevantes, otro objetivo es conocer las diferentes arquitecturas que existen y la configuración de los dispositivos para una implementación mucho más simple y óptima, la investigación literaria incluye un marco de referencia del proceso de Revisión Sistemática de la Literatura sobre estudios primarios centrados en la búsqueda de artículos relacionados con la arquitectura, el diseño y los algoritmos utilizados para construir el Controlador DMA utilizando FPGA y VHDL. Los resultados de la revisión muestran que hay una gran variedad de arquitecturas DMA, el uso de las mismas depende del tipo de transmisión que se quiera realizar y de los tipos de datos involucrados en la transacción, también hay varios modelos de diseño en múltiples lenguajes de programación y modelado, de acuerdo con la arquitectura de la DMA, existe la arquitectura mejorada del controlador que ayuda en gran medida a reducir la latencia de procesamiento, así como la presencia de una arquitectura específica necesaria para la lectura/escritura de imagen y víde