Symbol

Name

Definition or first appearance

$X(i,t,\omega )$

cash flow

equation (2.9)

${\delta }_i,{\pi }_i$

delivery, settlement

Chapter 2

$\overline{\delta }$

contractual entitlement

Section 2.7

$D_i,P_i$

cumulative delivery, cumulative settlement

Chapter 2

${\kappa }_i$

credit position

equation (3.2)

${\tau }_i$

average lag from delivery to settlement

Section 3.1.4

${\tau }_{\mathrm{inv}}$

residence time of inventory, $\mathrm{Inv}∕r$

equation (5.8)

$W$

working capital, ${\sum <!--\; FUNCTION\; APPLICATION\; -->}_i{\kappa }_i+\mathrm{Inv}$

Definition 3.2

$M(t)$

cash balance; $M=E-W-A$

equation (3.8), Proposition 3.17

$A,\mathrm{Inv}$

fixed assets, inventories

Proposition 3.15

$\mathrm{\Phi }$

business model

equation (2.8)

$C(\delta ),c(\delta )$

total cost, marginal cost; $c$ always carries its argument

Definition 2.14

$F,p$

fixed part of the fee, unit price

equation (2.10)

$h,y$

outcome-contingent map, outcome

ibid.

$E$

equity; paid-in capital plus retained earnings

equation (3.10)

${\kappa }_K^i$

credit position with capital providers; agent-dependent

Definition 3.21

$V_i$

value of the residual claim under agent $i$’s measure

ibid.

$d,I$

depreciation as a rate on sales, capital expenditure

Corollary 5.7

$\mathcal{𝒟}$

the space of deliveries

Part I, primitives

$\mathcal{F},{\mathcal{F}}_t$

the $\sigma$-field of events and the filtration

ibid.

Symbol

Name

Definition or first appearance

$\mathcal{𝒢}$

verifiable shared information

Chapter 4

$H$

horizon (planning period)

ibid., primitives

$T\mathrm{ins}$

time of insolvency; distinguish from ${\tau }_i$

Proposition 4.7, equation (5.7)

${\beta }_i$

discount factor of agent $i$

Section 4.2

$r,m$

sales velocity, gross or operating margin

Chapter 5

$\mathrm{CCC}$

cash conversion cycle

equation (5.1)

$r^{\max <!--\; FUNCTION\; APPLICATION\; -->}$

upper bound on scale, $(E-A)∕\mathrm{CCC}$

equation (5.4)

$g^{\star }$

self-financeable growth rate

equation (5.6)

${\varphi }_{\mathrm{prod}},{\varphi }_{\mathrm{barg}},{\varphi }_{\mathrm{cog}}$

three-way decomposition of surplus

equation (6.1)

${\varphi }_{\mathrm{risk}}$

payment for transfer and pooling; an unseparated sum of ${\varphi }_{\mathrm{prod}}$ and ${\varphi }_{\mathrm{barg}}$

Remark 6.1

$\nu ,\lambda (\nu )$

transaction frequency, decay rate

equation (6.4)

$𝜀$

exogenous shock

Section 12.2

$S$

indicator of survival or disclosure

Section 12.2

$a,p,c$

age, period, cohort; within that section only

equation (12.2)

$\mathrm{Cap}$

capacity limit

equation (8.2)

$\mathrm{Cap}\mathrm{cl}$

the part of capacity allocated to commissioned work

equation (8.14)

$c_{\mathit{𝑙𝑖𝑣}}$

rate of living expenses

equation (8.11)

$\mathcal{𝒜}$

the set of responses; distinguish from fixed assets $A$

Definition 9.4

$T_{\mathit{𝑟𝑒𝑠𝑝}},u$

response deadline, length of an interval of unavailability

equation (9.3)

$T_{\mathit{𝑑𝑒𝑣}},T_{\mathit{𝑎𝑐𝑞}},T_{\mathit{𝑐𝑟𝑒𝑑𝑖𝑡}},T_{\mathit{𝑖𝑛𝑠𝑡}}$

the terms of the start-up cost

equation (8.11)

${\lambda }_{\mathit{𝑛𝑜𝑣𝑒𝑙}}$

arrival rate of unanticipated states

Chapter 9

$\widehat{\mathrm{\Omega }}$

the state space anticipated at design time

Chapter 9

$\mathrm{DSO},\mathrm{DIO},\mathrm{DPO}$

days sales outstanding, days inventory outstanding, days payable outstanding

Chapter 16