Abstract
Prior chapters of this book have been focused on the search by a single decision maker (individual or firm) for a strategy whose net benefit is largest, equivalently, whose net cost is smallest.
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Notes
- 1.
This usage of “stable” is not uniformly agreed upon. Some writers have used “strong equilibrium” instead, but that usage never caught on. Other writers describe a set of outcomes (rather than strategies) as stable if no group of participants can all get outcomes they prefer by changing their strategies simultaneously.
- 2.
In the literature on economics, what we are calling an equilibrium is sometimes referred to as a Nash equilibrium; this distinguishes it from a general equilibrium, this being a Nash equilibrium in which the “market clears.”
- 3.
Vickery, William, “Counterspeculation, auctions and competitive sealed tenders,” Journal of Finance, V. 16, pp 8-37, 1961.
- 4.
D. Gale and L. Shapley, “College admissions and the stability of marriage,” American Mathematical Monthly, V. 69, pp 9-15, 1962.
- 5.
Roth, Alvin E. and Oliveira Sotomayor, Two-sided matching: a study in game-theoretic modeling and analysis, Cambridge University Press, Cambridge, England, 1990.
- 6.
George B. Dantzig, “Linear Programming,” Operations Research
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Denardo, E.V. (2011). Introduction to Game Theory. In: Linear Programming and Generalizations. International Series in Operations Research & Management Science, vol 149. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-6491-5_14
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