This work considers algorithmic problems in a distributed setting where the participants cannot be assumed to follow the algorithm but rather their own self-interest, and suggests a framework for studying such algorithms.Expand

Pseudorandom generators are constructed which convertO(SlogR) truly random bits toR bits that appear random to any algorithm that runs inSPACE(S) that can be simulated using onlyO(Slogn) random bits.Expand

Of independent interest is the main technical tool: a procedure which extracts randomness from a defective random source using a small additional number of truly random bits.Expand

Fairplay is introduced, a full-fledged system that implements generic secure function evaluation (SFE) and provides a test-bed of ideas and enhancements concerning SFE, whether by replacing parts of it, or by integrating with it.Expand

It is proved that the LP approach is an optimal allocation if and only if prices can be attached to single items in the auction, and suggests greedy and branch-andbound heuristics based on LP for other cases.Expand

This paper characterize the degree of this polynomial in terms of certain combinatorial properties of the boolean function in order to establish a tight lower bound on the degree needed to represent any boolean function that depends on n variables.Expand

This generator reveals an equivalence between the problems of proving lower bounds and the problem of generating good pseudorandom sequences, and combines this construction with other arguments, a number of consequences are obtained.Expand

It is shown that an ACO Boolean function has almost all of its "power spectrum" on the low-order coefficients, implying several new properties of functions in -4C(': Functions in AC() have low "average sensitivity;" they may be approximated well by a real polynomial of low degree and they cannot be pseudorandom function generators.Expand