MS (MS) Stock Price, Financials & Analysis — Zero Sum Times | Zero Sum Times

“”Sunday, August 30, 2026

Minimax

\max_{x \in \Delta} \min_{y \in \Delta} \, x^\top\! A \, y = v^*

§Zero-Sum

\textstyle\sum_{i=1}^{n} u_i(s) = 0 \;\; \forall \, s \in S

§Nash Eq.

x^{*\top}\! A y \geq x^{*\top}\! A y^* \geq x^\top\! A y^*

§Expected

\mathbb{E}[u_1] = x^\top\! A \, y

§Regret

R_T = \max_i \sum_{t=1}^{T} u_i^t - \sum_{t=1}^{T} u_{a_t}^t

§LP Dual

\min_{y,w} w \;\; \text{s.t.} \;\; Ay \leq w \cdot \mathbf{1}

§Payoff

u_1(i,j) = a_{ij}, \;\; u_2(i,j) = -a_{ij}

§Minimax

\max_{x \in \Delta} \min_{y \in \Delta} \, x^\top\! A \, y = v^*

§Zero-Sum

\textstyle\sum_{i=1}^{n} u_i(s) = 0 \;\; \forall \, s \in S

§Nash Eq.

x^{*\top}\! A y \geq x^{*\top}\! A y^* \geq x^\top\! A y^*

§Expected

\mathbb{E}[u_1] = x^\top\! A \, y

MS

MS

$214.77-0.09 (-0.04%)

Mkt Cap

N/A

P/E

N/A

EPS

N/A

Beta

N/A

Yield

—

52W Hi

N/A

52W Lo

N/A

Vol

N/A

Price History

Chart Terminal →Technical Analysis →

Company Profile

Sector

—

Industry

—

Employees

—

HQ

—

Key Ratios

Gross MarginN/A

Operating MarginN/A

Profit MarginN/A

ROEN/A

ROAN/A

P/BN/A

D/EN/A

Current RatioN/A

Dividend RateNone

Payout RatioN/A

Ratings Snapshot

3.0 / 5

P/E3/5
P/B3/5
ROE3/5
ROA3/5
D/E3/5
Liquidity3/5

Price History

Chart Terminal →Technical Analysis →

Company Profile

Sector

—

Industry

—

Employees

—

HQ

—

Key Ratios

Gross MarginN/A

Operating MarginN/A

Profit MarginN/A

ROEN/A

ROAN/A

P/BN/A

D/EN/A

Current RatioN/A

Dividend RateNone

Payout RatioN/A

Ratings Snapshot

3.0 / 5

P/E3/5
P/B3/5
ROE3/5
ROA3/5
D/E3/5
Liquidity3/5

MS (MS) Stock Price, Financials & Analysis — Zero Sum Times | Zero Sum Times