This present book provides an alternative approach to study the pre-kernel solution of transferable utility games based on a generalized conjugation theory from convex analysis. Although the pre-kernel solution possesses an appealing axiomatic foundation that lets one consider this solution concept as a standard of fairness, the pre-kernel and its related solutions are regarded as obscure and too technically complex to be treated as a real alternative to the Shapley value. Comprehensible and efficient computability is widely regarded as a desirable feature to qualify a solution concept apart from its axiomatic foundation as a standard of fairness. We review and then improve an approach to compute the pre-kernel of a cooperative game by the indirect function. The indirect function is known as the Fenchel-Moreau conjugation of the characteristic function. Extending the approach with the indirect function, we are able to characterize the pre-kernel of the grand coalition simply by the solution sets of a family of quadratic objective functions.
Now in a revised and expanded second edition including ten new chapters, this classic text on the diagnosis and management of posterior cruciate ligament injuries represents the state of the art. Comprehensive and used-friendly, the book covers PCL anatomy and biomechanics, diagnosis and evaluation, and both surgical and non-surgical treatment strategies. Surgical chapters discuss graft selection and open and arthroscopic techniques, including both primary and revision surgery and combined reconstruction with other knee ligaments. New chapters illustrate cutting-edge and advanced surgical techniques in reconstruction and primary repair, articular cartilage resurfacing and meniscus transplant in the PCL injured knee, mechanical graft tensioning, the role of osteotomy, treatment of PCL injuries in children, results of treatment and outcomes data in PCL injuries, clinical case studies, and the editor's experience chapter based on 24 years of treating PCL injuries. Complications, bracing and rehabilitation round out the presentation. Written and edited by leaders in the management of injuries to the knee, this will be an invaluable text for orthopedic surgeons and sports medicine practitioners alike.
Can we truly call football England's 'national' game?
Between 1921 and 1972, women were banned from playing in football League grounds in the UK. Yet in 1998 FIFA declared that the future is feminine and that football was the fastest growing sport for women globally.
The result of several years of original research, the book traces the continuities in women's participation since the beginnings of the game, and highlights the significant moments that have influenced current practice. The text provides:
*insight into the communities and individual experiences of players, fans, investors, administrators and coaches
A Game for Rough Girls is the first text to properly theorize the development of the game. Examining recreational and elite levels, the author provides a thorough critique, placing women's experience in the context of broader cultural and sports studies debates on social change, gender, power and global economics.
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