A model of partnership formation is considered in which there are two classes of player (called male and female). There is a continuum of players and two types of both sexes. These two types can be interpreted, e.g. as two subspecies, and each searcher prefers to pair with an individual of the same type. Players begin searching at time zero and search until they find a mutually acceptable prospective partner or the mating season ends. When a pair is formed, both individuals leave the pool of searchers....
Two versions of a best choice problem in which an employer views a sequence of applicants are considered. The employer can hire at most one applicant. Each applicant is available for interview (and, equivalently, for employment) with some probability .The available applicants are interviewed in the order that they are observed and the availability of the -th applicant is ascertained before the employer can observe the -th applicant. The employer can rank an available applicant with respect...
There is a number of popular books on mathematics and its connection with other human activities. The presented book “Games and Mathematics. Subtle Connections” belongs to this class but the author’s perspective is original (see [2] in references for links to other texts and reviews on the book ) by David Graham WellsThe title of the book is intriguing and outrageous at the same time. However, as it is possible to find in others’ opinion (see Thomas [1]), no one claims that mathematics is a...
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