5 papers
Existence of Fair Resolute Voting Rules
Manik Dhar, Kunal Mittal, Clayton Thomas
Among two-candidate elections that treat the candidates symmetrically and never result in a tie, which voting rules are fair? A natural requirement is that each voter exerts an equ…
Improved Parallel Repetition for GHZ-Supported Games via Spreadness
Yang P. Liu, Shachar Lovett, Kunal Mittal
We prove that for any 3-player game , whose query distribution has the same support as the GHZ game (i.e., all satisfying ), the val…
An Analytical Approach to Parallel Repetition via CSP Inverse Theorems
Amey Bhangale, Mark Braverman, Subhash Khot +3
Let be a -player game with value , whose query distribution is such that no marginal on players admits a non-trivial Abelian embedding. We show that for…
Multiplayer Parallel Repetition Is the Same as High-Dimensional Extremal Combinatorics
Kunal Mittal
We show equivalences between several high-dimensional problems in extremal combinatorics and parallel repetition of multiplayer (multiprover) games over large answer alphabets. Thi…
Biased Linearity Testing in the 1% Regime
Subhash Khot, Kunal Mittal
We study linearity testing over the -biased hypercube in the 1% regime. For a distribution supported over $\{x\in \{0,1\}^k:\sum_{i=1}^k x_i…