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Table 1 â– â– â– 

From: A survey of time consistency of dynamic risk measures and dynamic performance measures in discrete time: LM-measure perspective

  

\(\mathcal {X}\)

WA

WR

sWA

sWR

MA

MR

STR

Sub

Sup

Example 3

 

L p

✓

✓

✓

✓

     

Example 4

 

L p

 

✓

 

✓

   

✓

 

Example 5

 

\(\mathbb {V}^{p}\)

   

✓

     

Example 6

 

\(\mathbb {V}^{p}\)

   

✓

     

Example 7

 

\(\mathbb {V}^{p}\)

  

✓

✓

     

Example 8

γ≥0

L p

✓

✓

✓

✓

✓

✓

✓

 

✓

 

γ≤0

 

✓

✓

✓

✓

✓

✓

✓

✓

 

Example 9

γ t ↓

L p

✓

 

✓

 

✓

   

\(\checkmark ^{*}\)

 

γ t ↑

  

✓

 

✓

 

✓

 

\(\checkmark ^{**}\)

 

Example 10

 

L p

✓

✓

✓

✓

✓

✓

✓

  
  1. *if γ t ≥0
  2. **if γ t ≤0