The Associated Solidarity Game of n-Person Transferable Utility Games: Linking the Solidarity Value to the Shapley Value.

Miamo Wendji, Clovis (2015): The Associated Solidarity Game of n-Person Transferable Utility Games: Linking the Solidarity Value to the Shapley Value.

Abstract

We introduce for any TU-game, a new TU-game referred as its associated solidarity game (ASG). The ASG gives more power to the grand coalition by reducing the payoffs of others coalitions. It comes that, the Shapley value of the ASG is the Solidarity value of the initial game.

• Item Type: MPRA Paper
• Language: English
• Keywords: TU-game, Shapley value, Solidarity value
• Subjects: C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C71 - Cooperative Games; D - Microeconomics > D6 - Welfare Economics > D63 - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

References

Nowak A.S. and Radzik T. (1994) A Solidarity value for n-Person Transferable Games. In International Journal of Games Theory, 23; 43-48.

Shapley L.S (1953) A Value for n-person games. In : Kuhn HW, Tucker AW (eds) Contribution to the theory of Games II, Annals of Mathematics Studies, Princeton University Press, Princeton 307-317.