Extensions of Extremal Graph Theory to Grids

We consider extensions of Turán\u27s original theorem of 1941 to planar grids. For a complete kxm array of vertices, we establish in Proposition 4.3 an exact formula for the maximal number of edges possible without any square regions. We establish with Theorem 4.12 an upper bound and with Theorem 4.15 an asymptotic lower bound for the maximal number of edges on a general grid graph with n vertices and no rectangles

Salvaging on the Coast of Erebus Bay, King William Island: An Analysis of Inuit Interaction with Material from the Franklin Expedition

 Over the course of the 19th century, many European explorers sailed in search of a Northwest Passage through the Canadian Arctic. These journeys brought them into territory occupied by Inuit, who both traded with the explorers for various goods and interacted with the material that they left behind. This study examines the remains of two ship’s boats from three sites on King William Island (NgLj-2, NgLj-3, and NgLj-8) that were abandoned by members of the Franklin expedition and subsequently found and altered by an Inuit sub-group called the Netsilik to reveal the motivational factors behind their actions. It demonstrates that Inuit used these boats in a manner that reflects (1) their environment, (2) what the material afforded, (3) their past experiences with Europeans and European material, and (4) their intended uses of the material. These alterations ascribed new meaning to the material and redefine the remains of the boats in Erebus Bay as simultaneously Netsilik and European material.Au cours du XIXe siècle, de nombreux explorateurs européens ont mis le cap sur l’Arctique canadien à la recherche du passage du Nord-Ouest. Ces expéditions les ont emmenés vers des territoires occupés par les Inuits. Ceux-ci ont troqué diverses marchandises avec les explorateurs et utilisé le matériel que ces derniers ont laissé sur leur passage. Cette étude examine les restes des embarcations de deux navires en provenance de trois sites de l’île King William (NgLj-2, NgLj-3 et NgLj-8) abandonnées par des membres de l’expédition Franklin. Ces embarcations avaient été trouvées et modifiées par un sous-groupe inuit du nom de Netsilik. L’examen des restes vise à révéler les facteurs les ayant motivés à agir ainsi. Elle démontre que les Inuits se sont servi de ces embarcations de manières qui tiennent compte 1) de leur environnement; 2) de ce que le matériel leur permettait de faire; 3) de leurs expériences antérieures avec les Européens et le matériel européen; et4) de leurs usages prévus du matériel. Ces modifications ont conféré un nouveau sens au matériel et permettent de redéfinir les restes des embarcations de la baie Erebus comme étant à la fois du matériel netsilik et européen

Evaluating coasean bargaining experiments with meta-analysis

While the Coase Theorem has been a touchstone for understanding bargaining behavior, it has also been criticized for relying on unrealistic assumptions. In response, a line of experimental research analyzes bargaining behavior in laboratory settings. This paper uses meta-analysis to evaluate the Coasean bargaining literature by modeling the probability of an efficient bargain as a function of: (1) measures of transaction costs and related variables, and (2) measures of the social dimensions of a bargain. Results suggest that efficient solutions are more likely when explicit transaction costs do not exist, in the absence of a binding time limit, and when participants have perfect information on payoff schedules. Social dimension variables are found to have the potential to affect bargaining outcomes and are an important avenue for further research.Coase Theorem

Competing Theories of Pitch Perception: Frequency and Time Domain Analysis

Pitch perception is a phenomenon that has been the subject of much debate within the psychoacoustics community. It is at once a psychological, physiological and mathematical issue that has divided scientists for the last 200 years. My project aims to investigate the benefits and shortcomings of both the place theory and time theory approaches. This is done first by a model consistent with the long-standing focus on the frequency domain, and then by expanding to a more modern approach that functions in the time domain

Benefit Estimation of Water Quality Improvements in Bagmati River Using Choice Modeling

Environmental Economics and Policy,