Steve Alpern | |
---|---|
Nationality | American |
Alma mater | Princeton University Courant Institute |
Known for | Search Games rendezvous problem |
Scientific career | |
Fields | Mathematics Game Theory |
Institutions | Warwick |
Doctoral advisor | Peter Lax |
Steve Alpern is a professor of Operational Research at the University of Warwick, where he recently moved after working for many years at the London School of Economics. His early work was mainly in the area of dynamical systems and ergodic theory, but his more recent research has been concentrated in the fields of search games and rendezvous. [1] He informally introduced the rendezvous problem as early as 1976. [2] His collaborators include Shmuel Gal, Vic Baston and Robbert Fokkink.
The Dakota, also known as the Dakota Apartments, is a cooperative apartment building at 1 West 72nd Street on the Upper West Side of Manhattan in New York City, United States. The Dakota was constructed between 1880 and 1884 in the German Renaissance style and was designed by Henry Janeway Hardenbergh for businessman Edward Cabot Clark. The building was one of the first large developments on the Upper West Side and is the oldest remaining luxury apartment building in New York City. The building is a National Historic Landmark and has been designated a city landmark by the New York City Landmarks Preservation Commission. The building is also a contributing property to the Central Park West Historic District.
Evolutionary economics is a school of economic thought that is inspired by evolutionary biology. Although not defined by a strict set of principles and uniting various approaches, it treats economic development as a process rather than an equilibrium and emphasizes change, innovation, complex interdependencies, self-evolving systems, and limited rationality as the drivers of economic evolution. The support for the evolutionary approach to economics in recent decades seems to have initially emerged as a criticism of the mainstream neoclassical economics, but by the beginning of the 21st century it had become part of the economic mainstream itself.
The rendezvous dilemma is a logical dilemma, typically formulated in this way:
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Macrohistory seeks out large, long-term trends in world history in search of ultimate patterns by a comparison of proximate details. It favors a comparative or world-historical perspective to determine the roots of changes as well as the developmental paths of society or a historical process.
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A princess and monster game is a pursuit–evasion game played by two players in a region.
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A search game is a two-person zero-sum game which takes place in a set called the search space. The searcher can choose any continuous trajectory subject to a maximal velocity constraint. It is always assumed that neither the searcher nor the hider has any knowledge about the movement of the other player until their distance apart is less than or equal to the discovery radius and at this very moment capture occurs. The game is zero sum with the payoff being the time spent in searching. As mathematical models, search games can be applied to areas such as hide-and-seek games that children play or representations of some tactical military situations. The area of search games was introduced in the last chapter of Rufus Isaacs' classic book "Differential Games" and has been developed further by Shmuel Gal and Steve Alpern. The princess and monster game deals with a moving target.
In computational complexity theory, the linear search problem is an optimal search problem introduced by Richard E. Bellman and independently considered by Anatole Beck.
Shmuel Gal is a mathematician and professor of statistics at the University of Haifa in Israel.
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