Herbert Scarf's Contributions to Economics, Game Theory and Operations Research

Professor Zaifu Yang holds a chair in Economics at the University of York, UK. He has widely published in economics, game theory, operations research and applied mathematics. His articles have appeared in Econometrica, Journal of Economic Theory, Mathematics of Operations Research, Journal of Combinatorial Theory, and SIAM Journal on Control and Optimization among other leading academic journals.

• Preface; Zaifu Yang 1. Some Examples of Global Instability of the Competitive Equilibrium 2. An Analysis of Markets with a Large Number of Participants 3. A Limit Theorem on the Core of an Economy 4. An Elementary Proof of a Theorem on the Core of an N Person Game 5. The Core of An N-Person Game 6. On the Existence of a Cooperative Solution for a General Class of N-Person Games 7. On Cores and Indivisibility 8. Notes on the Core of a Productive Economy 9. The Allocation of Resources in the Presence of Indivisibilities 10. Two New Proofs of Afriat's Theorem 11. Uniqueness of Equilibrium in the Multi-Country Ricardo Model 12. On Differential Games with Survival Payoffs 13. Games with Partial Information