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By S. K. Neogy, S. K. Neogy, A. K. Das, R. B. Bapat

This quantity presents contemporary advancements and a state of the art overview in a number of components of mathematical modeling, computation and optimization. It includes idea, computation in addition to the functions of numerous mathematical types to difficulties in data, video games, optimization and economics for choice making. It makes a speciality of fascinating parts like types for instant networks, versions of Nash networks, dynamic types of ads, software of reliability types in economics, help vector machines, optimization, complementarity modeling and video games.

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Extra resources for Modeling, Computation and Optimization (Statistical Science and Interdisciplinary Research) (Statistical Science and Interdisciplinary Research; Platinum Jubilee)

Example text

Without loss of generality, consider N = {1, 2, . . , n} and the cycle network g = (i, i + 1) : i = 1, . . , n − 1 + (n, 1). Any agent i obtains πi (g) = j∈N vij −ci , and there is no other network with a larger payoff, implying that g is a Nash network. In the owner-homogeneous costs case, we also observe the following: if link (j, k) is present in g, then linking up with agent k is at least as good for an agent i = j, k, as linking up with j: πi (g + (k, i)) ≥ πi (g + (j, i)) whenever (j, k) ∈ g.

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