2,486 research outputs found
The Hindi language film Swades: We, the People: A different kind of journey to the East.
The analysis of motion picture depictions of leadership, as noted by numerous scholars of leadership education, lends itself well as a tool for conveying core values of leadership. The colorful, surprising, and emotional world of Indian musical films also has something to offer international scholars of leadership. In the motion picture Swades: We, the People (Gowariker, 2004) the path and purpose of servant-leadership is illustrated through an Indian-born US resident, Mohan Barghava, who embarks on his own journey to the East –back to India– and a metaphysical journey to his servant heart. The protagonist’s story in Swades was inspired by the life of Mohandas Karamchand Gandhi, a leader who is regarded as an archetypal servant-leader. This film review offers readers the opportunity to look beyond national boundaries and discover servant-leadership through the cinematic eye of foreign film: the contemporary cinema of India known as Bollywood
Generalized coherent states for SU(n) systems
Generalized coherent states are developed for SU(n) systems for arbitrary
. This is done by first iteratively determining explicit representations for
the SU(n) coherent states, and then determining parametric representations
useful for applications. For SU(n), the set of coherent states is isomorphic to
a coset space , and thus shows the geometrical structure of the
coset space. These results provide a convenient --dimensional space
for the description of arbitrary SU(n) systems. We further obtain the metric
and measure on the coset space, and show some properties of the SU(n) coherent
states.Comment: 11 page
Superpositions of SU(3) coherent states via a nonlinear evolution
We show that a nonlinear Hamiltonian evolution can transform an SU(3)
coherent state into a superposition of distinct SU(3) coherent states, with a
superposition of two SU(2) coherent states presented as a special case. A phase
space representation is depicted by projecting the multi-dimensional -symbol
for the state to a spherical subdomain of the coset space. We discuss
realizations of this nonlinear evolution in the contexts of nonlinear optics
and Bose--Einstein condensates
Variational optimization of probability measure spaces resolves the chain store paradox
In game theory, players have continuous expected payoff functions and can use
fixed point theorems to locate equilibria. This optimization method requires
that players adopt a particular type of probability measure space. Here, we
introduce alternate probability measure spaces altering the dimensionality,
continuity, and differentiability properties of what are now the game's
expected payoff functionals. Optimizing such functionals requires generalized
variational and functional optimization methods to locate novel equilibria.
These variational methods can reconcile game theoretic prediction and observed
human behaviours, as we illustrate by resolving the chain store paradox. Our
generalized optimization analysis has significant implications for economics,
artificial intelligence, complex system theory, neurobiology, and biological
evolution and development.Comment: 11 pages, 5 figures. Replaced for minor notational correctio
Variational optimization of probability measure spaces resolves the chain store paradox
In game theory, players have continuous expected payoff functions and can use fixed point theorems to locate equilibria. This optimization method requires that players adopt a particular type of probability measure space. Here, we introduce alternate probability measure spaces altering the dimensionality, continuity, and differentiability properties of what are now the game's expected payoff functionals. Optimizing such functionals requires generalized variational and functional optimization methods to locate novel equilibria. These variational methods can reconcile game theoretic prediction and observed human behaviours, as we illustrate by resolving the chain store paradox. Our generalized optimization analysis has significant implications for economics, artificial intelligence, complex system theory, neurobiology, and biological evolution and development.optimization; probability measure space; noncooperative game; chain store paradox
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