fixing game solver kwarg interface + reducing min stepsize so examples work

Author: dfridovi

src/game.jl

@@ -187,11 +187,9 @@ function solve(
     game::ParametricGame,
     θ;
     solver_type = InteriorPoint(),
-    x₀ = zeros(sum(game.dims.x) + sum(game.dims.λ) + game.dims.λ̃),
-    y₀ = ones(sum(game.dims.μ) + game.dims.μ̃),
-    tol = 1e-4,
+    kwargs...
 )
-    (; x, y, s, kkt_error, status) = solve(solver_type, game.mcp, θ; x₀, y₀, tol)
+    (; x, y, s, kkt_error, status) = solve(solver_type, game.mcp, θ; kwargs...)
 
     # Unpack primals per-player for ease of access later.
     end_dims = cumsum(game.dims.x)

src/solver.jl

@@ -46,7 +46,7 @@ function solve(
     max_outer_iters = 50,
     tightening_rate = 0.1,
     loosening_rate = 0.5,
-    min_stepsize = 1e-2,
+    min_stepsize = 1e-4,
     verbose = false,
     linear_solve_algorithm = UMFPACKFactorization(),
 )