Can I buy a Command Star?

[player1]

Yes conditions differ and are more severe.

But from the plus side, conditions in 1.6 are relaxed a bit compared to 1.4 version.

Just for the find here is the list of relevant triggers:

;------------------------------------------
Trigger V0010_Standard_Battle_Attacker_Crushing_Victory_VnV_Trigger
    WhenToTest PostBattle

    Condition WasAttacker
          and IsGeneral
          and WonBattle
          and BattleSuccess = crushing
          and I_ConflictType Normal
          and BattleOdds >= 0.5
          and BattleOdds < 1.2

    Affects GoodAttacker  2  Chance  90 
    Affects GoodCommander  1  Chance  100 
    Affects InspiringSpeaker  1  Chance  6 
    Affects GoodCommander  1  Chance  10 

;------------------------------------------
Trigger V0020_Standard_Battle_Attacker_Crushing_Loss_VnV_Trigger
    WhenToTest PostBattle

    Condition WasAttacker
          and IsGeneral
          and not WonBattle
          and BattleSuccess = crushing
          and I_ConflictType Normal
          and BattleOdds >= 0.7

    Affects BadAttacker  2  Chance  95 
    Affects BadCommander  1  Chance  100 

;------------------------------------------
Trigger V0030_Standard_Battle_Defender_Crushing_Victory_VnV_Trigger
    WhenToTest PostBattle

    Condition not WasAttacker
          and IsGeneral
          and WonBattle
          and BattleSuccess = crushing
          and I_ConflictType Normal
          and BattleOdds >= 0.5
          and BattleOdds < 1.2

    Affects GoodDefender  2  Chance  95 
    Affects GoodCommander  1  Chance  100 
    Affects InspiringSpeaker  1  Chance  6 

;------------------------------------------
Trigger V0040_Standard_Battle_Defender_Crushing_Loss_VnV_Trigger
    WhenToTest PostBattle

    Condition not WasAttacker
          and IsGeneral
          and not WonBattle
          and BattleSuccess = crushing
          and I_ConflictType Normal
          and BattleOdds >= 0.7

    Affects BadDefender  2  Chance  95 
    Affects BadCommander  1  Chance  100 

;------------------------------------------
Trigger V0050_Standard_Battle_Attacker_Clear_Victory_VnV_Trigger
    WhenToTest PostBattle

    Condition WasAttacker
          and IsGeneral
          and WonBattle
          and BattleSuccess = clear
          and I_ConflictType Normal
          and BattleOdds >= 0.5
          and BattleOdds < 1.2

    Affects GoodAttacker  1  Chance  90 
    Affects GoodCommander  1  Chance  50 

;------------------------------------------
Trigger V0060_Standard_Battle_Attacker_Clear_Loss_VnV_Trigger
    WhenToTest PostBattle

    Condition WasAttacker
          and IsGeneral
          and not WonBattle
          and BattleSuccess = clear
          and I_ConflictType Normal
          and BattleOdds >= 0.7

    Affects BadAttacker  1  Chance  95 
    Affects BadCommander  1  Chance  50 

;------------------------------------------
Trigger V0070_Standard_Battle_Defender_Clear_Victory_VnV_Trigger
    WhenToTest PostBattle

    Condition not WasAttacker
          and IsGeneral
          and WonBattle
          and BattleSuccess = clear
          and I_ConflictType Normal
          and BattleOdds >= 0.5
          and BattleOdds < 1.2

    Affects GoodDefender  1  Chance  95 
    Affects GoodCommander  1  Chance  33 

;------------------------------------------
Trigger V0080_Standard_Battle_Defender_Clear_Loss_VnV_Trigger
    WhenToTest PostBattle

    Condition not WasAttacker
          and IsGeneral
          and not WonBattle
          and BattleSuccess = clear
          and I_ConflictType Normal
          and BattleOdds >= 0.7

    Affects BadDefender  1  Chance  95 
    Affects BadCommander  1  Chance  50 

;------------------------------------------
Trigger crushing_victory_for_sub4_general_4BIpatch
    WhenToTest PostBattle

    Condition IsGeneral
          and WonBattle
          and BattleSuccess = crushing
          and BattleOdds >= 1.2
          and BattleOdds < 2.1
          and GeneralNumKillsInBattle > 2
          and Attribute Command < 4

    Affects GoodCommander  1  Chance  100 

;------------------------------------------
Trigger clear_victory_for_sub4_general_4BIpatch
    WhenToTest PostBattle

    Condition IsGeneral
          and WonBattle
          and BattleSuccess = clear
          and BattleOdds >= 1.2
          and BattleOdds < 1.9
          and Attribute Command < 4
          and GeneralNumKillsInBattle > 2

    Affects GoodCommander  1  Chance  33 

;------------------------------------------
Trigger crushing_other_victory_4BIpatch
    WhenToTest PostBattle

    Condition IsGeneral
          and WonBattle
          and BattleSuccess = crushing
          and BattleOdds < 1.2
          and not I_ConflictType Normal

    Affects GoodCommander  1  Chance  100 
    Affects GoodCommander  1  Chance  10 

;------------------------------------------
Trigger clear_other_victory_for_4BIpatch
    WhenToTest PostBattle

    Condition IsGeneral
          and WonBattle
          and BattleSuccess = clear
          and BattleOdds < 1.2
          and not I_ConflictType Normal

    Affects GoodCommander  1  Chance  33 

;------------------------------------------
Trigger V0090_Standard_Battle_Any_Victory_VnV_Trigger
    WhenToTest PostBattle

    Condition IsGeneral
          and WonBattle
          and BattleOdds < 1.2

    Affects GoodCommander  1  Chance  25 

;------------------------------------------
Trigger V0100_Standard_Battle_Any_Loss_VnV_Trigger
    WhenToTest PostBattle

    Condition IsGeneral
          and not WonBattle
          and BattleOdds > 1.3

    Affects BadCommander  1  Chance  66 

;------------------------------------------
Trigger V0110_Standard_Risky_Battle_Attacker_Clear_Victory_VnV_Trigger
    WhenToTest PostBattle

    Condition WasAttacker
          and IsGeneral
          and WonBattle
          and BattleSuccess >= clear
          and I_ConflictType Normal
          and BattleOdds < 0.5
          and BattleOdds > 0.16

    Affects GoodRiskyAttacker  1  Chance  100 
    Affects GoodCommander  1  Chance  100 
    Affects InspiringSpeaker  1  Chance  15 
    Affects GoodCommander  1  Chance  33 

;------------------------------------------
Trigger V0120_Standard_Risky_Battle_Attacker_Clear_Loss_VnV_Trigger
    WhenToTest PostBattle

    Condition WasAttacker
          and IsGeneral
          and not WonBattle
          and BattleSuccess = crushing
          and I_ConflictType Normal
          and BattleOdds < 0.7
          and BattleOdds > 0.16

    Affects BadRiskyAttacker  1  Chance  100 
    Affects BadCommander  1  Chance  10 
    Affects GloriousFool  1  Chance  100 

;------------------------------------------
Trigger V0130_Standard_Risky_Battle_Defender_Clear_Victory_VnV_Trigger
    WhenToTest PostBattle

    Condition not WasAttacker
          and IsGeneral
          and WonBattle
          and BattleSuccess = crushing
          and I_ConflictType Normal
          and BattleOdds < 0.5
          and BattleOdds > 0.16

    Affects GoodRiskyDefender  1  Chance  100 
    Affects GoodCommander  1  Chance  100 
    Affects InspiringSpeaker  1  Chance  15 

;------------------------------------------
Trigger V0140_Standard_Risky_Battle_Defender_Clear_Loss_VnV_Trigger
    WhenToTest PostBattle

    Condition not WasAttacker
          and IsGeneral
          and not WonBattle
          and BattleSuccess = crushing
          and I_ConflictType Normal
          and BattleOdds < 0.7
          and BattleOdds > 0.16

    Affects BadRiskyDefender  1  Chance  100 
    Affects BadCommander  1  Chance  10 

;------------------------------------------
Trigger V0150_Standard_Risky_Battle_Attacker_Crushing_Victory_VnV_Trigger
    WhenToTest PostBattle

    Condition WasAttacker
          and IsGeneral
          and WonBattle
          and BattleSuccess >= clear
          and I_ConflictType Normal
          and BattleOdds <= 0.16

    Affects GoodRiskyAttacker  2  Chance  100 
    Affects Brave  1  Chance  6 
    Affects InspiringSpeaker  1  Chance  20 
    Affects GoodCommander  2  Chance  100 

;------------------------------------------
Trigger V0160_Standard_Risky_Battle_Attacker_Crushing_Victory_VnV_Trigger
    WhenToTest PostBattle

    Condition WasAttacker
          and IsGeneral
          and not WonBattle
          and BattleSuccess = crushing
          and I_ConflictType Normal
          and BattleOdds <= 0.16

    Affects BadRiskyAttacker  1  Chance  100 
    Affects BadCommander  1  Chance  10 
    Affects Brave  1  Chance  6 
    Affects GloriousFool  1  Chance  100 
    Affects GloriousFool  1  Chance  18 

;------------------------------------------
Trigger V0170_Standard_Risky_Battle_Defender_Crushing_Victory_VnV_Trigger
    WhenToTest PostBattle

    Condition not WasAttacker
          and IsGeneral
          and WonBattle
          and BattleSuccess >= clear
          and I_ConflictType Normal
          and BattleOdds <= 0.16

    Affects GoodRiskyDefender  2  Chance  100 
    Affects InspiringSpeaker  1  Chance  20 
    Affects GoodCommander  1  Chance  100 
    Affects GoodCommander  1  Chance  75 

;------------------------------------------
Trigger V0180_Standard_Risky_Battle_Defender_Crushing_Loss_VnV_Trigger
    WhenToTest PostBattle

    Condition not WasAttacker
          and IsGeneral
          and not WonBattle
          and BattleSuccess = crushing
          and I_ConflictType Normal
          and BattleOdds <= 0.16

    Affects BadRiskyDefender  1  Chance  100 
    Affects BadCommander  1  Chance  10 

;------------------------------------------
Trigger V0190_Withdraw_Before_Battle_Even_Odds_VnV_Trigger
    WhenToTest PreBattleWithdrawal

    Condition IsGeneral
          and I_WithdrawsBeforeBattle
          and BattleOdds > 0.7
          and BattleOdds < 2.1

    Affects IndecisiveAttacker  3  Chance  100 
    Affects Coward  1  Chance  15 
    Affects BadCommander  1  Chance  3 

;------------------------------------------
Trigger V0200_Withdraw_Before_Battle_Good_Odds_VnV_Trigger
    WhenToTest PreBattleWithdrawal

    Condition IsGeneral
          and I_WithdrawsBeforeBattle
          and BattleOdds > 2.1

    Affects IndecisiveAttacker  8  Chance  100 
    Affects Coward  1  Chance  50 
    Affects BadCommander  1  Chance  10 

;------------------------------------------
Trigger V0210_Standard_Battle_Crushing_Victory_Infantry_Commander_VnV_Trigger
    WhenToTest PostBattle

    Condition IsGeneral
          and WonBattle
          and BattleSuccess >= clear
          and PercentageUnitCategory infantry > 90
          and BattleOdds < 1.6

    Affects GoodInfantryGeneral  1  Chance  100 

;------------------------------------------
Trigger V0220_Standard_Battle_Crushing_Defeat_Infantry_Commander_VnV_Trigger
    WhenToTest PostBattle

    Condition IsGeneral
          and not WonBattle
          and BattleSuccess = crushing
          and PercentageUnitCategory infantry > 85
          and BattleOdds > 0.7

    Affects BadInfantryGeneral  1  Chance  100 
    Affects BadCommander  1  Chance  10 

;------------------------------------------
Trigger V0230_Standard_Battle_Crushing_Victory_Cavalry_Commander_VnV_Trigger
    WhenToTest PostBattle

    Condition IsGeneral
          and WonBattle
          and BattleSuccess >= clear
          and PercentageUnitCategory cavalry > 55
          and BattleOdds < 1.2

    Affects GoodCavalryGeneral  1  Chance  100 

;------------------------------------------
Trigger V0240_Standard_Battle_Crushing_Defeat_Cavalry_Commander_VnV_Trigger
    WhenToTest PostBattle

    Condition IsGeneral
          and not WonBattle
          and BattleSuccess = crushing
          and PercentageUnitCategory cavalry > 55
          and BattleOdds > 0.7

    Affects BadCavalryGeneral  1  Chance  100 
    Affects BadCommander  1  Chance  10 

;------------------------------------------
Trigger Stone_wall_siege_attack_success
    WhenToTest PostBattle

    Condition WasAttacker
          and IsGeneral
          and WonBattle
          and BattleSuccess >= clear
          and I_ConflictType Siege
          and BattleOdds < 2
          and I_BattleSettlementFortificationLevel >= 2

    Affects GoodSiegeAttacker  1  Chance  90 
    Affects GoodAttacker  1  Chance  15 
    Affects GoodEngineer  1  Chance  15 

;------------------------------------------
Trigger Stone_wall_siege_attack_fail
    WhenToTest PostBattle

    Condition WasAttacker
          and IsGeneral
          and not WonBattle
          and BattleSuccess >= clear
          and I_ConflictType Siege
          and BattleOdds >= 1.2
          and I_BattleSettlementFortificationLevel >= 2

    Affects BadSiegeAttacker  1  Chance  99 
    Affects BadAttacker  1  Chance  20 
    Affects BadCommander  1  Chance  15 

;------------------------------------------
Trigger Stone_wall_siege_defend_success
    WhenToTest PostBattle

    Condition not WasAttacker
          and IsGeneral
          and WonBattle
          and BattleSuccess >= clear
          and I_ConflictType Siege
          and BattleOdds < 1.2
          and I_BattleSettlementFortificationLevel >= 2

    Affects GoodSiegeDefender  1  Chance  90 
    Affects GoodDefender  1  Chance  18 

;------------------------------------------
Trigger Stone_wall_siege_defend_fail
    WhenToTest PostBattle

    Condition not WasAttacker
          and IsGeneral
          and not WonBattle
          and BattleSuccess >= clear
          and I_ConflictType Siege
          and BattleOdds >= 1
          and I_BattleSettlementFortificationLevel >= 2

    Affects BadSiegeDefender  1  Chance  99 
    Affects BadDefender  1  Chance  20 
    Affects BadCommander  1  Chance  15 
    Affects Drink  1  Chance  8

Notice the bolded triggers.
Those are added in 1.6 patch, to help a bit with Command star gain.
Althouhg some of the other triggers are tweaked slightly compared to 1.4.