Advances in Equilibrium Theory: Proceedings of the by Donald G. Saari (auth.), Prof. C. D. Aliprantis, Prof. O.

By Donald G. Saari (auth.), Prof. C. D. Aliprantis, Prof. O. Burkinshaw, Prof. N. J. Rothman (eds.)

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Extra resources for Advances in Equilibrium Theory: Proceedings of the Conference on General Equilibrium Theory Held at Indiana University-Purdue University at Indianapolis, USA, February 10–12, 1984

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Sup{ (A,V) we imagine what That would give us a 6 ua:u E V(S)} for all S E~. aES virtue of Theorem 1, we could then compute the Shapley value for game (A,v) where v(S) By (A,v). " [Shapley, 1969]. Thus if ~v is an element of V(A) if the players can realize ~v without making side-payments - then it provides us with a solution for the game (A,V). There is, of course, no guarantee that ~v will be an element of the grand coalition's assurance set. , by their social significance) before being compared or aggregated, then there exists a valuation of (A,V).

Let Pv be supporting prices at y for the cost function C(y,pv). The optimal excise taxes are t y = qy - Py and t v = qv - pV • Ap- 53 plying Walras ' law and the break-even condi tion: py. y = c (y , pv)' we see that the net tax revenue on net demands is zero. This completes the proof •• Sufficient conditions for C(y,pv) to be supportable are given in Sharkey-Telser [9]. , oC :t;; 0 oYioYj for all i age costs. and j, as in the two-sector model with nonincreasing aver- ACKNOWLEDGMENTS We thank the participants of the Yale University for their many useful progress.

One such solution for cooperative games is the notion of value, first introduced by L. S. Shapley [Shapley, 1953]. Value is a cooperative solution concept that is generally interpreted as a characterization of "fairness". Typically, value is described as assigning to each player a payoff equal to his expected marginal, or incremental, contribution to the payoff of each possible coalition of players that he might join, where it is assumed that all coalitions are equally probable. More briefly it may be described as giving each player his "prospects" in playing agame.

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