An Algebraic Characterization of Path Independent Choice Functions, Mark R. Johnson and Richard A. Dean, September 12, 1996, Presented at Social Choice and Welfare Meetings.
Locally complete path independent choice functions and their lattices , Mark R. Johnson and Richard A. Dean, Mathematical Social Sciences, 42 pp 53-87, 2001. To access a version of this paper with all proofs included click here.
The construction of all lower locally distributive lattices, Mark R. Johnson and Richard A. Dean, May 22, 2002, Presented at American Mathematics Society Meetings, San Diego, California.
Duality and distributivity in LLD lattices, Mark R. Johnson and Richard A. Dean, February 4, 2004
Designer path independent choice functions, Mark R. Johnson and Richard A. Dean, Economic Theory, 26 pp 729-740, 2005.