Variance, and shifting rows
Variance is an uncredited 1985 game published by Dash Inc.
BGG description:
The object of the game is to be the first to move all nine of your pawns from your own "home intersections" to those of your opponent. The playing board is made up of 17 thin strips, which can be slid left or right to transport pieces laterally. Pieces may move to adjacent intersections, jump adjacent pieces, and make "long jumps" covering a greater distance.
The main game uses a die to determine how many moves a player may make on his or her turn. A variation, included in the game directions, removes the die by adding a schedule of moves per turn.
A review by Jake Davenport:
Variance plays like Chinese checkers for two players, with the addition of a board that shifts some pieces laterally and the ability to make long jumps across the board. The game board consists of 17 strips that make up a diagonally oriented grid, and each player has a set of pawns that he or she must move to the other player's starting location. A player may do one of three things in a "move": advance a pawn, jump a pawn over any other pawn, or shift one of the board's strips either left or right. A pawn may jump another pawn which is several spaces away, landing that many spaces beyond it. If you jump a pawn that is in the exact center of the board, you can go from your start to your destination in one move. You can also make a series of jumps in one move, leapfrogging quickly to the other side of the board. Setting up for such jumps is an integral part of the game's strategy.
Variance looks sharp. The board is well designed and aesthetically pleasing. The rules are simple, but players quickly realize that there is much to learn in planning out moves. After the first game, we decided to play with the move schedule to keep luck from affecting the game. Each game we played found us learning new tricks. We found more efficient movement, at first jumping pawns to a point near the goal and then marching them in, then in later games jumping pawns directly into the goals. As we get better, I expect to find ways to move across the board faster, while simultaneously thwarting the opponent from doing the same. It's a rare joy to encounter a game with simple rules that has an interesting forward thinking strategy. Variance is a game which can be learned quickly and yet has depth of play which becomes evident with each successive game.
This ludeme of shifting rows is not common. Games that use this mechanism include Shuttles,
1988's Shift Tic Tac Toe,
where each player either drops a friendly stone, like Connect 4, or slides one row, eventually moving pieces out of the board.
And also 1976's Perplexus,