Abstract
In 2009 ([4]) a new procedure to determine the payoff space of non-parametric differentiable normal form games has been presented. Then, the new procedure has been applied (in [1]) to numerically determine an original type of 3-dimensional representation of the family of payoff spaces in normal-form C 1 parametric games, with two players. In this work, the method in [4] has been pointed out and assumed with the aim of realizing an algorithm which (computationally) gives the real geometric representation of the payoff trajectory of normal-form C 1-parametric games, with two players. The application of our algorithm to several examples concludes the paper. Our analysis of parametric games, also, allows us to pass from the standard normal-form games to their coopetitive extension, as already illustrated in several applicative papers by D. Carfì.
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Carfì, D., Ricciardello, A. (2012). Algorithms for Payoff Trajectories in C 1 Parametric Games. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances in Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 300. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31724-8_67
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