Many economic models and optimization problems generate (endogenous) shadow prices - alias dual variables or Lagrange multipliers. Frequently the “slopes” of resulting price curves - that is, multiplier derivatives - are of great interest. These objects relate to the Jacobian of the...

It is common to tolerate that a system's performance be unsustainable during an interim period. To live long however, its state must eventually satisfy various constraints. In this regard we design here differential inclusions that generate, in one generic format, two distinct phases of system...

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...

Abstract. This paper considers a fairly large class of noncooperative games in which strategies are jointly constrained. When what is called the Ky Fan or Nikaidô-Isoda function is convex-concave, selected Nash equilibria correspond to diagonal saddle points of that function. This feature is...

This paper studies measurement of welfare e¤ects, transient and permanent, of stabilizing or deregulating prices in Cobweb-like settings. As in Cobweb-models, producers must commit inputs in face of uncertainty. Here, however, we consider producers who are concerned with adaptations of inputs...

Abstract. Exchange of risks is considered here as a transferableutility, cooperative game, featuring risk averse players. Like in competitive equilibrium, a core solution is determined by shadow prices on state-dependent claims. And like in finance, no risk can properly be priced only in terms...

This note looks at insurance of minor, recurrent losses. The main concern is with efficiency properties of full coverage. As motivation and running example we concider a regime, currently operative in several European countries, that offers employees complete wage reimbursement during short...