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.
Electronic, video and computer games have captured the interest of younger generation during the past years and have become the primary source of relaxation and fun for many. The public demand for choices in computer games has increased and there is a need to automate the process of game development. In this book we introduce a methodology for automated generation of entertaining games. The genres we address are board based games and video games. We use evolutionary algorithms to generate new and entertaining games using our proposed entertainment metrics as the fitness function.
The multidisciplinary nature of learning-games development is key to successful projects. In this book, leaders in the field of serious games and professionals in entertainment games share practical guidelines and lessons learned from their own experiences researching and developing learning games. This volume includes: * A summary of the key elements of design and development that require particular attention from multiple disciplines to ensure success * An overview of successful models and methods, and of the tradeoffs made throughout the process, to help guide development * Cohesive, multidisciplinary views of the issues that may arise and of the techniques applied in order to produce effective learning games grounded in specific experiences, community consensus, and analysis of successful learning games that have already been released * The stories behind the games, to illustrate how final design and development decisions were reached. Aimed at professionals and academics interested in developing and researching learning games, it offers a comprehensive picture of the state of the art.