Trail of Lost Pennies

A tug-of-war game with Tullock contests, based on Brownian Boost

Game Mode

κ (kappa) — Contest probability

Probability each turn is a Tullock contest (vs. fair coin flip)

[0.001, 1]

ρ (rho) — Tullock exponent

Controls sensitivity of win probability to stake ratio. Values > 1 allowed.

[0.001, 10]

j (left boundary)

Mina wins at position −j

[1, 50]

k (right boundary)

Maxine wins at position k

[1, 50]

Start position

Counter starting position

[-4, 4]

Terminal Payments (advanced)

m_−j (Maxine if Mina wins)

m_k (Maxine if Maxine wins)

n_−j (Mina if Mina wins)

n_k (Mina if Maxine wins)

Show solver computation

Display iteration-by-iteration convergence, ABMN equation residuals, and the full solution table