The phrase "a competitive case" is correct and usable in written English.
It can be used in contexts where you are discussing a situation, scenario, or example that involves competition, such as in business, sports, or legal matters.
Example: "In our analysis, we found that a competitive case can significantly influence market dynamics and consumer behavior."
Alternatives: "a rival scenario" or "a contestable situation".
In the hard sciences, money is allocated to provide different labs, projects, and individuals money on a competitive case-by-case basis.
Every arts institution has to make a strong, competitive case for its own needs.
But while many patent cases are described in the context of "patent trolls" who serve no purpose beyond collecting licensing fees for IP that they own, this appears to be more of a directly competitive case for OpenTV.
end{aligned} (22) a) For the competitive case, the result follows from part b) in Proposition 1.
The next result characterizes the (bettor-strong) subgame perfect equilibria in the competitive case: Given (upsilon ) and (rho ), there exists a (bettor-strong) subgame perfect equilibrium with undominated strategies7 in the spread bets competitive game.
The next result characterizes the bettor-strong subgame perfect equilibria in the competitive case: Given (upsilon ) and (rho ), there exists a unique bettor-strong subgame perfect equilibrium payoff allocation in the parimutuel competitive market.
The next result characterizes the (bettor-strong) subgame perfect equilibrium in the competitive case: Given (upsilon ) and (rho ), there exists a (bettor-strong) subgame perfect equilibrium in the fixed-odds competitive market.
For arbitrary (alpha in (0,infty )), a simulation analysis shows that Proposition 10, parts a), b) and c1), hold in general, and the maximizing (upsilon ) in the competitive case [Proposition 10, part c2)] decreases with (alpha ).
How about the competitive case?
In the competitive case, by (rho =1) and (upsilon =0).
Competitive case: (pi ^ = min left{ 1,frac{1}{2left( 1-upsilon right) }right} ).
