论文信息 - Convex games without side payments

Convex games without side payments

A convex game without side payments is defined and discussed. It is shown that such a game is totally balanced. With a second and more restrictive definition of convexity it is shown that the core coincides with the von Neumann-Morgenstern solution.

W. W. Sharkey

[1] J. Rosenmüller,et al. Extreme convex set functions with finite carrier: General theory , 1974, Discret. Math..

[2] H. Scarf. The Core of an N Person Game , 1967 .

[3] Robert J. Aumann,et al. Chapter 1. A Survey of Cooperative Games Without Side Payments , 1967 .

[4] L. Shapley. Cores of convex games , 1971 .

[5] Dieter Sondermann,et al. Economies of scale and equilibria in coalition production economies , 1974 .

[6] L. Shapley,et al. The kernel and bargaining set for convex games , 1971 .

[7] Louis J. Billera,et al. On games without side payments arising from a general class of markets , 1974 .

[8] R. E. Bixby,et al. A characterization of polyhedral market games , 1973 .