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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 C1 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 C1-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.

Algorithms for Payoff Trajectories in C1 Parametric Games

CARFI', David;
2012-01-01

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 C1 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 C1-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.
2012
Inglese
Advances in computational intelligence, Part 4
S.Greco, B. Bouchon-Meunier, G. Coletti et al.
Springer Verlag Germany
Berlin Heidelberg
GERMANIA
STAMPA
300
642
654
13
9783642317231
http://www.ipmu2012.unict.it/
http://link.springer.com/chapter/10.1007%2F978-3-642-31724-8_67
sì
2-s2.0-84868277160
Internazionale
Esperti anonimi
Normal form games, critical zone and payoff space
References: 1.Agreste, S., Carfí, D., Ricciardello, A.: An algorithm for payoff space in C 1 parametric games. Applied Sciences 14 (2011) 2.Aubin, J.P.: Mathematical Methods of Game and Economic Theory. North-Holland (1986) 3.Aubin, J.P.: Optima and Equilibria. Springer (1995) 4.Carfí, D.: Payoff space of C 1 Games. Applied Sciences 11, 35–47 (2009)» MathSciNet» MATH 5.Carfí, D.: Differentiable game complete analysis for tourism firm decisions. In: Proceedings of the 2009 International Conference on Tourism and Workshop on Sustainable Tourism within High Risk Areas of Environmental Crisis, Messina (April 2009) 6.Carfí, D.: Optimal boundaries for decisions. AAPP LXXXVI(1), 1–12 (2008) 7.Carfí, D.: Complete study of linear infinite games. Proceedings of the International Geometry Center 2(3) (2009) 8.Carfí, D.: A Model for Coopetitive Games. MPRA paper 2012 (2012), » http://ideas.repec.org/f/pca735.html 9.Carfí, D.: Decision-form games. In: Communications to SIMAI Congress, vol. 3, pp. 1–12 (2009), » http://cab.unime.it/journals/index.php/congress/article/view/307 10.Carfí, D..Francesco, M.: Fair Redistribution in Financial Markets: a Game Theory Complete Analysis. Journal of Advanced Studies in Finance (JASF) 4(II) (2011) 11.Carfí, D., Patanè, G., Pellegrino, S.: A Coopetitive approach to Project Financing. In: Proceedings of International Conference “Moving from Crisis to Sustainability: Emerging Issues in the International Context” (2011) 12.Carfí, D., Perrone, E.: Game Complete Analysis of Bertrand Duopoly. Theoretical and Practical Research in Economic Fields, Association for Sustainable Education, Research and Science 0(1), 5–22 (2011) 13.Carfí, D., Perrone, E.: Game complete analysis of Bertrand Duopoly. MPRA Paper 31302, University Library of Munich, Germany (2011) 14.Carfí, D., Perrone, E.: Asymmetric Cournot duopoly: game complete analysis. MPRA Paper 37093, University Library of Munich, Germany (2012) 15.Carfí, D., Perrone, E.: Game complete analysis of symmetric Cournot duopoly. MPRA Paper 35930, University Library of Munich, Germany (2012) 16.Carfí, D., Perrone, E.: Asymmetric Bertrand duopoly: game complete analysis by algebra system Maxima. MPRA Paper 35417, University Library of Munich, Germany (2011) 17.Carfí, D., Ricciardello, A.: An Algorithm for Payoff Space in C 1-Games. AAPP 88(1) (2010) 18.Carfí, D., Schilirò, D.: Coopetitive games and transferable utility: an analytical application to the Eurozone countries (2011) (pre-print) 19.Carfí, D., Schilirò, D.: Crisis in the Euro area: coopetitive game solutions as new policy tools. Theoretical and Practical Research in Economic Fields, summer issue, 1–30 (2011), » http://www.asers.eu/journals/tpref.html 20.Carfí, D., Schilirò, D.: A coopetitive model for a global green economy. Proceedings of International Conference “Moving from Crisis to Sustainability: Emerging Issues in the International Context” (2011) 21.Carfí, D., Schilirò D.: A model of coopetitive game and the Greek crisis. In print on AAPP (2012), » http://arxiv.org/abs/1106.3543 22.Carfí, D., Trunfio, A.: A non-linear coopetitive game for Global Green Economy. In: Proceedings of International Conference “Moving from Crisis to Sustainability: Emerging Issues in the International Context” (2011), » http://ideas.repec.org/f/pca735.html 23.Myerson, R.B.: Game theory. Harvard University press (1991) 24.Osborne, A., Rubinstein, M.J.: A course in Game Theory. Academic press (2001) 25. Owen, G.: Game theory. Academic press (2001)
no
14.b Contributo in volume::14.b.1 Contributo in volume (Capitolo o Saggio)
Carfi', David; Ricciardello, Angela
268
info:eu-repo/semantics/bookPart
2
none
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