Common priors for generalized type spaces

The notion of common prior is well-understood and widely-used in the incomplete information games literature. For ordinary type spaces the common prior is de�fined. Pint�er and Udvari (2011) introduce the notion of generalized type space. Generalized type spaces are models for various bonded rationality issues, for �nite belief hierarchies, unawareness among others. In this paper we de�ne the notion of common prior for generalized types spaces. Our results are as follows: the generalization (1) suggests a new form of common prior for ordinary type spaces, (2) shows some quantum game theoretic results (Brandenburger and La Mura, 2011) in new light.

Every hierarchy of beliefs is a type

When modeling game situations of incomplete information one usually considers the players’ hierarchies of beliefs, a source of all sorts of complications. Harsányi (1967-68)’s idea henceforth referred to as the ”Harsányi program” is that hierarchies of beliefs can be replaced by ”types”. The types constitute the ”type space”. In the purely measurable framework Heifetz and Samet (1998) formalize the concept of type spaces and prove the existence and the uniqueness of a universal type space. Meier (2001) shows that the purely measurable universal type space is complete, i.e., it is a consistent object. With the aim of adding the finishing touch to these results, we will prove in this paper that in the purely measurable framework every hierarchy of beliefs can be represented by a unique element of the complete universal type space.

Generalized type spaces

Ordinary type spaces (Heifetz and Samet, 1998) are essential ingredients of incomplete information games. With ordinary type spaces one can grab the notions of beliefs, belief hierarchies and common prior etc. However, ordinary type spaces cannot handle the notions of finite belief hierarchy and unawareness among others. In this paper we consider a generalization of ordinary type spaces, and introduce the so called generalized type spaces which can grab all notions ordinary type spaces can and more, finite belief hierarchies and unawareness among others. We also demonstrate that the universal generalized type space exists.

Common priors for generalized type spaces

The notion of common prior is well-understood and widely-used in the incomplete information games literature. For ordinary type spaces the common prior is defined. Pinter and Udvari (2011) introduce the notion of generalized type space. Generalized type spaces are models for various bonded rationality issues, for nite belief hierarchies, unawareness among others. In this paper we dene the notion of common prior for generalized types spaces. Our results are as follows: the generalization (1) suggests a new form of common prior for ordinary type spaces, (2) shows some quantum game theoretic results (Brandenburger and La Mura, 2011) in new light.

A new epistemic model

Meier (2012) gave a "mathematical logic foundation" of the purely measurable universal type space (Heifetz and Samet, 1998). The mathematical logic foundation, however, discloses an inconsistency in the type space literature: a finitary language is used for the belief hierarchies and an infinitary language is used for the beliefs. In this paper we propose an epistemic model to fix the inconsistency above. We show that in this new model the universal knowledgebelief space exists, is complete and encompasses all belief hierarchies. Moreover, by examples we demonstrate that in this model the players can agree to disagree Aumann (1976)'s result does not hold, and Aumann and Brandenburger (1995)'s conditions are not sufficient for Nash equilibrium. However, we show that if we substitute selfevidence (Osborne and Rubinstein, 1994) for common knowledge, then we get at that both Aumann (1976)'s and Aumann and Brandenburger (1995)'s results hold.

Lexicographic allocations and extreme core payoffs: the case of assignment games

We consider various lexicographic allocation procedures for coalitional games with transferable utility where the payoffs are computed in an externally given order of the players. The common feature of the methods is that if the allocation is in the core, it is an extreme point of the core. We first investigate the general relationship between these allocations and obtain two hierarchies on the class of balanced games. Secondly, we focus on assignment games and sharpen some of these general relationship. Our main result is the coincidence of the sets of lemarals (vectors of lexicographic maxima over the set of dual coalitionally rational payoff vectors), lemacols (vectors of lexicographic maxima over the core) and extreme core points. As byproducts, we show that, similarly to the core and the coalitionally rational payoff set, also the dual coalitionally rational payoff set of an assignment game is determined by the individual and mixed-pair coalitions, and present an efficient and elementary way to compute these basic dual coalitional values. This provides a way to compute the Alexia value (the average of all lemacols) with no need to obtain the whole coalitional function of the dual assignment game.

The role of disturbance and resource availability in structuring plant communities

Disturbances alter competitive hierarchies by reducing populations and altering resource regimes. The interaction between disturbance and resource availability may strongly influence the structure of plant communities, as observed in the recolonization of seagrass beds in outer Florida Bay that were denuded by sea-urchin overgrazing. There is no consensus concerning the interaction between disturbance and resource availability on competition intensity (CI). On the other hand, species diversity is dependent on both factors. Peaks in species diversity have been observed to occur when both resource availability and disturbance intensity are high, thus implying that CI is low. Based on this supposition of previous models, I presented the resource-disturbance hypothesis as a graphical model to make predictions of CI as a function of both disturbance intensity and the availability of a limiting resource. The predictions of this model were tested in two experiments within a seagrass community in south Florida, in which transplants of Halodule wrightii were placed into near-monocultures of Syringodium filiforme in a full-factorial array. In the first experiment, two measures of relative CI were calculated based on the changes in the short-shoot number (SS) and of rhizome length (RHL) on the transplants. Both light and disturbance were identified as important factors, though the interaction between light * disturbance was not significant. Relative CISS ranged between 0.2 and 1.0 for the high light and high disturbance treatments and the relative CIRHL < 0 for the same treatments, though results were not significantly different due to high variability and low sample size. These results, including a contour schematic using six data points from the different treatment combinations, preliminarily suggests that the resource-disturbance hypothesis may be used may be used as a next step in developing our understanding of the mechanisms involved in structuring plant communities. Furthermore, the focus of the model is on the outcome of CI, which may be a useful predictor of changes in species diversity. Further study is needed to confirm the results of this study and validate the usefulness of this model in other systems. ^

Principal component and second generation wavelet analysis of Treasury yield curve evolution

Prices of U.S. Treasury securities vary over time and across maturities. When the market in Treasurys is sufficiently complete and frictionless, these prices may be modeled by a function time and maturity. A cross-section of this function for time held fixed is called the yield curve; the aggregate of these sections is the evolution of the yield curve. This dissertation studies aspects of this evolution. ^ There are two complementary approaches to the study of yield curve evolution here. The first is principal components analysis; the second is wavelet analysis. In both approaches both the time and maturity variables are discretized. In principal components analysis the vectors of yield curve shifts are viewed as observations of a multivariate normal distribution. The resulting covariance matrix is diagonalized; the resulting eigenvalues and eigenvectors (the principal components) are used to draw inferences about the yield curve evolution. ^ In wavelet analysis, the vectors of shifts are resolved into hierarchies of localized fundamental shifts (wavelets) that leave specified global properties invariant (average change and duration change). The hierarchies relate to the degree of localization with movements restricted to a single maturity at the base and general movements at the apex. Second generation wavelet techniques allow better adaptation of the model to economic observables. Statistically, the wavelet approach is inherently nonparametric while the wavelets themselves are better adapted to describing a complete market. ^ Principal components analysis provides information on the dimension of the yield curve process. While there is no clear demarkation between operative factors and noise, the top six principal components pick up 99% of total interest rate variation 95% of the time. An economically justified basis of this process is hard to find; for example a simple linear model will not suffice for the first principal component and the shape of this component is nonstationary. ^ Wavelet analysis works more directly with yield curve observations than principal components analysis. In fact the complete process from bond data to multiresolution is presented, including the dedicated Perl programs and the details of the portfolio metrics and specially adapted wavelet construction. The result is more robust statistics which provide balance to the more fragile principal components analysis. ^

A educação básica na região metropolitana de Natal: uma análise da qualidade educativa e sua relação com o contexto familiar dos alunos

This dissertation aimed to investigate the formal learning process of children and teenagers through elementary education and, mainly, the support of family on domestic school activities as a step in the teaching-learning process. The student's family, with its cultural capital, provides an assistance which was the bias of the essay analyzes presented on this paper, using a spatial area of public elementary schools of the municipalities of the Natal metropolitan region. Such frame of Natal metropolis has been justified by the recent review of their basic education, taken by the Brazilian Ministry of Education, diagnosed in 2011, only 1% of students were in a adequate mathematics learning stage. While 62% were considered in a critical stage in this discipline. Given this issue, this dissertation offers a theoretical analysis about inherited and acquired within the family cultural capital, mainly focusing in the distances between the cultural level of the student's family and the defendant by the school. Then, presents the fundamental aspects of the issue on the urban phenomenon, focusing on social hierarchies and structures of city spaces that express differentiation, segmentation and socio-spatial segregation, and social exclusion. The emphasis on inequalities points to the development of an urban ethos, through formal schooling, which develops from social singularities. To theoretically develop the theme of Cultural Capital Family, this study sought to operationalize the concept through the interpretation of the phenomenon studied by a logical validation work hypotheses. The operation concepts systemically transformed into statistical indicators in order to measure the impact of individual, social and cultural characteristics of students elements. Finally, this dissertation found that the components evaluated, family cultural capital and housing conditions, can influence the development of skills and competencies of students in the educational sphere

Lump solitons in a higher-order nonlinear equation in 2+1 dimensions

We propose and examine an integrable system of nonlinear equations that generalizes the nonlinear Schrodinger equation to 2 + 1 dimensions. This integrable system of equations is a promising starting point to elaborate more accurate models in nonlinear optics and molecular systems within the continuum limit. The Lax pair for the system is derived after applying the singular manifold method. We also present an iterative procedure to construct the solutions from a seed solution. Solutions with one-, two-, and three-lump solitons are thoroughly discussed.

Beyond the Convent Walls: The Local and Japan-wide Activities of Daihongan’s Nuns in the Early Modern Period (c. 1550–1868)

This dissertation examines the social and financial activities of Buddhist nuns to demonstrate how and why they deployed Buddhist doctrines, rituals, legends, and material culture to interact with society outside the convent. By examining the activities of the nuns of the Daihongan convent (one of the two administrative heads of the popular pilgrimage temple, Zenkōji) in Japan’s early modern period (roughly 1550 to 1868) as documented in the convent’s rich archival sources, I shed further light on the oft-overlooked political and financial activities of nuns, illustrate how Buddhist institutions interacted with the laity, provide further nuance to the discussion of how Buddhist women navigated patriarchal sectarian and secular hierarchies, and, within the field of Japanese history, give voice to women who were active outside of the household unit around which early modern Japanese society was organized.

Zenkōji temple, surrounded by the mountains of Nagano, has been one of Japan’s most popular pilgrimage sites since the medieval period. The abbesses of Daihongan, one Zenkōji’s main sub-temples, traveled widely to maintain connections with elite and common laypeople, participated in frequent country-wide displays of Zenkōji’s icon, and oversaw the creation of branch temples in Edo (now Tokyo), Osaka, Echigo (now Niigata), and Shinano (now Nagano). The abbesses of Daihongan were one of only a few women to hold the imperially sanctioned title of eminent person (shōnin 上人) and to wear purple robes. While this means that this Pure Land convent was in some ways not representative of all convents in early modern Japan, Daihongan’s position is particularly instructive because the existence of nuns and monks in a single temple complex allows us to see in detail how monastics of both genders interacted in close quarters.

This work draws heavily from the convent’s archival materials, which I used as a guide in framing my dissertation chapters. In the Introduction I discuss previous works on women in Buddhism. In Chapter 1, I briefly discuss the convent’s history and its place within the Zenkōji temple complex. In Chapter 2, I examine the convent’s regular economic bases and its expenditures. In Chapter 3, I highlight Daihongan’s branch temples and discuss the ways that they acted as nodes in a network connecting people in various areas to Daihongan and Zenkōji, thus demonstrating how a rural religious center extended its sphere of influence in urban settings. In Chapter 4, I discuss the nuns’ travels throughout the country to generate new and maintain old connections with the imperial court in Kyoto, confraternities in Osaka, influential women in the shogun’s castle, and commoners in Edo. In Chapter 5, I examine the convent’s reliance upon irregular means of income such as patronage, temple lotteries, loans, and displays of treasures, and how these were needed to balance irregular expenditures such as travel and the maintenance or reconstruction of temple buildings. Throughout the dissertation I describe Daihongan’s inner social structure comprised of abbesses, nuns, and administrators, and its local emplacement within Zenkōji and Zenkōji’s temple lands.

Exploring these themes sheds light on the lives of Japanese Buddhist nuns in this period. While the tensions between freedom and agency on the one hand and obligations to patrons, subordination to monks, or gender- and status-based restrictions on the other are important, and I discuss them in my work, my primary focus is on the nuns’ activities and lives. Doing so demonstrates that nuns were central figures in ever-changing economic and social networks as they made and maintained connections with the outside world through Buddhist practices and through precedents set centuries before. This research contributes to our understanding of nuns in Japan’s early modern period and will participate in and shape debates on the roles of women in patriarchal religious hierarchies.

Grito vagabundo : el exilio como alegoría de un trauma histórico en tres novelas latino-canadienses

Cette thèse étudie la façon dont trois romans latino-canadiens utilisent le trope de l’exil comme allégorie d’un trauma historique qui comprend plus que l’expérience individuelle de ses protagonistes : la transition forcée de l’État vers le Marché en Amérique latine effectuée par les dictatures. Cobro revertido (1992) de José Leandro Urbina; Le pavillon des miroirs (1994) Sergio Kokis; et Rojo, amarillo y verde (2003) de Alejandro Saravia, explorent divers aspects de ce processus à travers les exercices de mémoire de leurs personnages. L’exil oblige les protagonistes de ces oeuvres à se confronter aux limites des structures sémiotiques par lesquelles ils essaient de donner un fondement idéologique à leur existence sociale. Ils découvrent ainsi qu’il n’est pas possible de reproduire des hiérarchies, des valeurs, ni des relations de pouvoir de leur pays d’origine dans leur pays d’accueil, non seulement à cause des différences culturelles, mais aussi à cause d’un changement historique qui concerne la relation du sujet avec la collectivité et le territoire. Ces œuvres abordent l’expérience de ce changement par un dialogue avec différents genres littéraires comme le roman de fondation, la méta-fiction historique du Boom, le roman de formation et le testimonio, mis en relation avec divers moments historiques, de la période nationale-populaire aux transitions, en passant par les dictatures. Cela permet aux auteurs de réfléchir aux mécanismes narratifs que plusieurs œuvres latino-américaines du XXème siècle ont utilisé pour construire et naturaliser des subjectivités favorables aux projets hégémoniques des États nationaux. Ces exercices méta-narratifs comprennent le rôle de l’écriture comme support privilégié pour l’articulation d’une identité avec le type de communauté imaginaire qu’est la nation. Ils servent aussi à signaler les limites de l’écriture dans le moment actuel du développement technologique des médias et de l’expansion du capitalisme transnational. Ainsi, les auteurs de ces œuvres cherchent d’autres formes de représentation pour rendre visibles les traces d’autres histoires qui n’ont pas pu être incorporées dans le discours historique officiel.

La construcción histórica de las clasificaciones y jerarquización de la infancia en el proceso de escolarización : Un análisis en la Provincia de Buenos Aires (1880-1952)

Esta investigación tiene por propósito analizar la construcción histórica de la infancia en el proceso de escolarización desde las diferentes formas de clasificación y jerarquización tales como niños "anormales", "débiles", "falsos anormales", "retrasados pedagógicos", "excepcionales", "deficientes". En esta dirección se analizan los cambios en la legislación, y normativa educativa en la provincia de Buenos Aires en el período de 1880 a 1952. Se tomó a la legislación y la prensa educativa como analizadoras de las diferentes conceptualizaciones pedagógicas, atravesadas por las nociones de saber, poder, subjetivación y tecnología. Al mismo tiempo, se analizaran las categorías de norma, normalidad, anormalidad y normalización en relación con el lenguaje jurídico, la política educativa y la política sanitaria escolar. Desde el punto de vista teórico la investigación se inscribe en los estudios sobre gubernamentalidad, los cuales permitieron analizar, por una parte, la construcción histórica de saberes especializados cuyo foco fue la población, (en este caso fue la población infantil) y por otro lado, apuntó a reconstruir las formas de clasificación de las infancias en el proceso de escolarización. De esta manera, se pretendió objetivar las funciones sociales de los discursos cuestionando los saberes que originaron su configuración sirviéndole de cobertura y soporte, o sea, someter a crítica los saberes propios de la racionalidad instituida y dominante que constituyen en gran parte el orden social. Este posicionamiento teórico entiende a la crítica esencialmente por su función de des-sujeción de lo que pudiéramos llamar la "política de la verdad", entonces historizar los diferentes modos de subjetivación, encierra también la posibilidad de objetivación que transforman a los seres humanos en sujetos, o sea la crítica como cuestionamiento de las formas de experiencias que nos constituyen

La construcción histórica de las clasificaciones y jerarquización de la infancia en el proceso de escolarización : Un análisis en la Provincia de Buenos Aires (1880-1952)

Esta investigación tiene por propósito analizar la construcción histórica de la infancia en el proceso de escolarización desde las diferentes formas de clasificación y jerarquización tales como niños "anormales", "débiles", "falsos anormales", "retrasados pedagógicos", "excepcionales", "deficientes". En esta dirección se analizan los cambios en la legislación, y normativa educativa en la provincia de Buenos Aires en el período de 1880 a 1952. Se tomó a la legislación y la prensa educativa como analizadoras de las diferentes conceptualizaciones pedagógicas, atravesadas por las nociones de saber, poder, subjetivación y tecnología. Al mismo tiempo, se analizaran las categorías de norma, normalidad, anormalidad y normalización en relación con el lenguaje jurídico, la política educativa y la política sanitaria escolar. Desde el punto de vista teórico la investigación se inscribe en los estudios sobre gubernamentalidad, los cuales permitieron analizar, por una parte, la construcción histórica de saberes especializados cuyo foco fue la población, (en este caso fue la población infantil) y por otro lado, apuntó a reconstruir las formas de clasificación de las infancias en el proceso de escolarización. De esta manera, se pretendió objetivar las funciones sociales de los discursos cuestionando los saberes que originaron su configuración sirviéndole de cobertura y soporte, o sea, someter a crítica los saberes propios de la racionalidad instituida y dominante que constituyen en gran parte el orden social. Este posicionamiento teórico entiende a la crítica esencialmente por su función de des-sujeción de lo que pudiéramos llamar la "política de la verdad", entonces historizar los diferentes modos de subjetivación, encierra también la posibilidad de objetivación que transforman a los seres humanos en sujetos, o sea la crítica como cuestionamiento de las formas de experiencias que nos constituyen

La construcción histórica de las clasificaciones y jerarquización de la infancia en el proceso de escolarización : Un análisis en la Provincia de Buenos Aires (1880-1952)

Esta investigación tiene por propósito analizar la construcción histórica de la infancia en el proceso de escolarización desde las diferentes formas de clasificación y jerarquización tales como niños "anormales", "débiles", "falsos anormales", "retrasados pedagógicos", "excepcionales", "deficientes". En esta dirección se analizan los cambios en la legislación, y normativa educativa en la provincia de Buenos Aires en el período de 1880 a 1952. Se tomó a la legislación y la prensa educativa como analizadoras de las diferentes conceptualizaciones pedagógicas, atravesadas por las nociones de saber, poder, subjetivación y tecnología. Al mismo tiempo, se analizaran las categorías de norma, normalidad, anormalidad y normalización en relación con el lenguaje jurídico, la política educativa y la política sanitaria escolar. Desde el punto de vista teórico la investigación se inscribe en los estudios sobre gubernamentalidad, los cuales permitieron analizar, por una parte, la construcción histórica de saberes especializados cuyo foco fue la población, (en este caso fue la población infantil) y por otro lado, apuntó a reconstruir las formas de clasificación de las infancias en el proceso de escolarización. De esta manera, se pretendió objetivar las funciones sociales de los discursos cuestionando los saberes que originaron su configuración sirviéndole de cobertura y soporte, o sea, someter a crítica los saberes propios de la racionalidad instituida y dominante que constituyen en gran parte el orden social. Este posicionamiento teórico entiende a la crítica esencialmente por su función de des-sujeción de lo que pudiéramos llamar la "política de la verdad", entonces historizar los diferentes modos de subjetivación, encierra también la posibilidad de objetivación que transforman a los seres humanos en sujetos, o sea la crítica como cuestionamiento de las formas de experiencias que nos constituyen