Incomplete theorems

Uniqueness Theorems for 30 Inverse Problems With Incomplete Data

In F&mm, Phys. Lett. 99A, (1983), 258-260, it is proved that a compactly supported inhomogeneity in the velocity profile is uniquely determined by the values of the acoustic pressure collected for aU positions of the source and receiver on the surface of the Earth (on the whole plane P) at low frequencies. Here it is proved that the data collected on Dr x Q2 sufl'ice for the uniqueness theorem ...

Incomplete information equilibria: Separation theorems and other myths

The incomplete information financial economic equilibrium (IIE) literature has been growing at a growing rate since its inception in the early nineteen eighties. This paper highlights, clarifies, and examines issues and concepts essential to this equilibrium. These include: the number of state variables, irrelevance of separation theorems, unobservable productivity processes that lead to comple...

Impossibility and Possibility Theorems for Social Choice Functions on Incomplete Preference Profiles

We study the existence and properties of social choice functions when each individual’s preference order is incomplete: each individual expresses his/her preference on his/her alternative set that is a subset of the whole set of alternatives. We define the strategy-proofness and show that the strategy-proofness is incompatible with nondictatorship. In addition, we weaken the definition of the s...

Image Reconstruction from Incomplete Data

Image Reconstruction from Incomplete Data