Considered here is decentralized exchange of privately owned commodity bundles. Voluntary transactions take the form of repeated bilateral barters. Under broad and reasonable hypotheses the resulting process converges to comepetitive equilibrium. Price-taking behavior is not assumed. Prices...

Financial options typically incorporate times of exercise. Alternatively, they embody set-up costs or indivisibilities. Such features lead to planning problems with integer decision variables. Provided the sample space be finite, it is shown here that integrality constraints can often be...

Considered here are transferable-utility, coalitional production or market games, featuring differently informed players. It is assumed that personalized contracts must comply with idiosyncratic information. The setting may create two sorts of shadow prices: one for material endowments, the...

Risk exchange is considered here as a cooperative game with transferable utility. The set-up fits markets for insurance, securities and contingent endowments. When convoluted payoff is concave at the aggregate endowment, there is a price-supported core solution. Under variance aversion the...

This paper looks at social insurance of short term absence from work. The chief concern is with efficiency properties of full coverage. That arrangement is reviewed and criticized here in light of received theory. A main point is that positive loading of the premium implies less than full...

Projects, private or public, that share input factors or output requirements had better be construed as members of a portfolio. Present risk, the capital asset pricing model may facilitate valuation of each member. Chief results of that model are derived and generalized here as core solutions...