Herbert Scarf - Major Publications

Major Publications

1. On differential games with survival payoffs (with L.Shapley), 1958, in Volume III, Contribution to the Theory of Games, eds. D. Dresher, A.W.Tucker and P.Wolfe, Princeton University Press.

2. The optimality of policies in the dynamic inventory problem, 1959, in Mathematical Methods in the Social Sciences, ed. K.J.Arrow, Stanford University Press.

3. Optimal policies for a multi-echelon inventory problem (with A.J.Clark), 1960, in Management Science, Vol. 6, No.4, pp. 475–490.

4. Some examples of global instability of the competitive equilibrium, 1960, in International Economic Review, Vol.1, No. 3, pp. 157–172.

5. An analysis of markets with a large number of participants, 1962, in Recent Advances in Game Theory, ed. M. Maschler, The Ivy Curtis Press.

6. A limit theorem on the core of an economy (with G.Debreu), 1963, in International Economic Review, Vol.4, No.3, pp. 235–246.

7. The core of an N-person game, 1967, in Econometrica, Vol. 35, No. 1, pp. 50–69.

8. The approximation of fixed points of a continuous mapping, 1967, in SIAM Journal of Applied Mathematics, Vol. 15, No.5, pp. 1328–1343.

9. On the existence of a cooperative solution for a general class of N-person games, 1971, in Journal of Economic Theory, Vol. 3, No. 2, pp. 169–181.

10. The Computation of Economic Equilibria, Yale University Press, New Haven, 1973.

11. On cores and indivisibilities (with L.Shapley), 1974, in Journal of Mathematical Economics, Vol.1, No. 1, pp. 23–37.

12. The solution of systems of piecewise linear equations (with B.C. Eaves), 1976, in Mathematics of Operations Research, Vol.1, No.1, pp. 1–27.

13. Production sets with indivisibilities, part I: generalities, 1981, in Econometrica, Vol. 49, No. 1, pp. 1–32.

14. Production sets with indivisibilities, part II: the case of two activities, 1981, in Econometrica, Vol. 49, No. 2, pp. 395–423.

15. Integral polyhedral in three spaces, 1985, in Mathematics of Operations Research, Vol.10, No.3, pp. 403–438.

16. Neighbourhood systems for production sets with indivisibilities, 1986, in Econometrica, Vol.54, No.3, 507-532.

17. The generalized basis reduction algorithm (with L.Lovász), 1992, in Mathematics of Operations Research, Vol.17, No.3, pp. 751–764

18. The Frobenius problem and maximal lattice free bodies (with D.F.Shallcross), 1993, in Mathematics of Operations Research, Vol.18, No.3, pp. 511–515.

19. The complex of maximal lattice free simplices (with I.Bárány and R.Howe), 1994, in Mathematical Programming, Vol. 66, No. 3, pp. 273–281.

20. The allocation of resources in the presence of indivisibilities,1994, in Journal of Economic Perspectives, Vol. 8, No. 4, pp. 111–128.

21. Matrices with identical sets of neighbours (with I.Bárány), 1998, in Mathematics of Operations Research, Vol.23, No.4, pp. 863–873.

22. The topological structure of maximal lattice free convex bodies: the general case (with I.Bárány and D.F.Shallcross), 1998, in Mathematical Programming, Vol. 80, No. 1, pp. 1–15.

23. Uniqueness of equilibrium in a multi-country Ricardo model (with C.A. Wilson), 2005, in Frontiers in Applied General Equilibrium Modeling: In Honor of Herbert Scarf, eds. T.J. Kehoe, T.N. Srinivasan and J. Whalley, Cambridge University Press.

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