Interview conducted on 6 December 2012.

My grandfather, Harlow Shapley, was a noted astronomer. He worked at the 100-inch telescope on Mt. Wilson in Pasadena, California, where he did some important work, most notably determining that the sun was not located at the center of the galaxy, but rather, out on the fringes. His first three...

A link between a no-side-payment (NSP) market game and a side-payment (SP) market game can be established by introducing a sufficient amount of an ideal utility-money of constant marginal utility to all agents. At some point when there is "enough money" in the system, if it is "well distributed"...

A link between a no-side-payment (NSP) market game and a side-payment (SP) market game can be established by introducing a sufficient amount of an ideal utility-money of constant marginal utility to all agents. At some point when there is "enough money" in the system, if it is "well distributed"...

The Walras core of an economy is the set of allocations that are attainable for the consumers when their trades are constrained to be based on some agreed set of prices, and such that no alternative price system exists for any sub-coalition that allows all members to trade to something better....

We approach the problem of preference aggregation by endowing both individuals and coalitions with partially-ordered or incomplete cardinal preferences. Consistency across preferences for coalitions comes in the form of the Extended Pareto Rule: if two disjoint coalitions A and B prefer x to y,...

Frontmatter -- CONTENTS -- Permissions -- Foreword -- Contributor -- An Appreciation -- Contributor -- 1. Equilibrium Points in n-Person Games. PNAS 36 (1950) 48-49. -- 2. The Bargaining Problem. Econometrica 18 (1950) 155-162. -- 3. Non-Cooperative Games. Annals of Mathematics 54 (1951)...

We approach the problem of preference aggregation by endowing both individuals and coalitions with partially-ordered or incomplete preferences for decision under risk. Restricting attention to the case of complete individual preferences, and assuming complete preferences for some pairs of agents...

We consider a multi-player, cooperative, transferable-utility, symmetric game (N,v) and associated convex covers, i.e., convex games (N,w) such that w is greater than or equal to v. A convex cover w is efficient iff w(0) equals v(0) and w(N) equals v(N); and minimal iff there is no convex cover...

We consider a multi-player, cooperative, transferable-utility, symmetric game (N, ) and associated convex covers, i.e., convex games (N, ~) such that ~ \geq . A convex cover is efficient iff ~(∅) = (∅) and ~(N) = (N); and minimal iff there is no convex cover ~ \neq ~ such that ~ \leq ~....

Wage negotiation is modeled as an oceanic game. The employer and unions (if any) are atomic players, interacting with an 'ocean' of infinitesimal individual, unorganized workers. All workers are equally productive inside the firm but may differ in their outside opportunities. The 'worth' of a...