The Scientific Community Game (SCG)

Karl Lieberherr

Short High-Level Definition

SCG is a two-player game where each player proposes and opposes claims in a domain X. When the first player proposes a claim, the second player may choose to oppose it by engaging in an opposition protocol which has a success or failure outcome. The opposition protocol for a claim involves the players providing problems in domain X and solving them to substantiate the claim or a strengthened form of it.

The game runs over a fixed number of rounds and the winner has the largest fraction of claims that have been proposed by the winner and that have survived at least one opposition attempt but have never been successfully opposed by others.

Concepts: hypothesis / problem /solution

SCG is a two player game, where the players compete for points by 
proposing and opposing hypotheses to each other.  

The players compete over a fixed number of rounds. 
During each round a player proposes challenging hypotheses, 
and the opposing player has the option 
to oppose some of them through one of two means: 

  1.) (refuting) by forcing the first player to 
      contradict its own hypothesis by constructing problems and solutions, or
  2.) (strengthening) by refining the hypothesis to make 
      it stronger but not refutable.
  
Concrete examples (problems conforming to the hypothesis) 
are exchanged to determine which player is correct.

The winner is determined at the end of the rounds as 
the player who has proposed the largest fraction of unopposed hypotheses
compared to all hypotheses offered by that player.