Bounty - Revision history

NaCleric: updated

2023-09-16T08:43:57Z

updated

← Older revision		Revision as of 08:43, 16 September 2023
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	** The soft cap is the sum of bounties earned by the victim in last life (with minimum value of <math>R_i/2</math>). This is ignored when a kill is made by [[Gladiator]].		** The soft cap is the sum of bounties earned by the victim in last life (with minimum value of <math>R_i/2</math>). This is ignored when a kill is made by [[Gladiator]].

	[[File:Bounties.png\|thumb\|500x500px\|Bounty graph (dependence of bounty on killscore) for each class. Score of both teams is assumed to be equal and the soft cap is ignored. Note that Gladiator and Wizard, as well as Warrior and Marksman have the same bounty. All pirate classes have the same bounty as well. ~~'''Outdated'''~~\|alt=]]		[[File:Bounties.png\|thumb\|500x500px\|Bounty graph (dependence of bounty on killscore) for each class. Score of both teams is assumed to be equal and the soft cap is ignored. Note that Gladiator and Wizard, as well as Warrior and Marksman have the same bounty. All pirate classes have the same bounty as well.\|alt=]]

	== Formula ==		== Formula ==
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	A class' LKV can be determined as <math>LKV ={1\over4}*\ln(R_i)</math>.		A class' LKV can be determined as <math>LKV ={1\over4}*\ln(R_i)</math>.

	Bounty for a single kill cannot exceed ~~500~~ points. It is also limited by the value <math>soft cap = max(R_i/2, C_B)</math>, where <math>C_B</math> is the sum of bounties earned by player B since last true death. Kills made by a [[Gladiator]] ignore the soft cap.		Bounty for a single kill cannot exceed 750 points. It is also limited by the value <math>soft cap = max(R_i/2, C_B)</math>, where <math>C_B</math> is the sum of bounties earned by player B since last true death. Kills made by a [[Gladiator]] ignore the soft cap.

			Bounty can also be modified by [[Essences\|Essence of Glory]].

	The balancing function serves as a comeback mechanic for teams that are behind in points. It's defined as		The balancing function serves as a comeback mechanic for teams that are behind in points. It's defined as

	<math>f(x) = 1+\frac{1}{2}erf(2(x-1))</math>, where <math>erf(x)</math> is the error function. This multiplier doesnt apply during the first five minutes of the game and it is equal to 0 during the Grace ~~phase~~.		<math>f(x) = 1+\frac{1}{2}erf(2(x-1))</math>, where <math>erf(x)</math> is the error function. This multiplier doesnt apply during the first five minutes of the game and it is equal to 0 during the Prepare and Grace phases.
	[[File:Erf.png\|thumb\|435x435px\|Balancing function. Note that for very large and very small ratios, the multiplier approaches 1.5 and 0.5 respectively. \|alt=\|left]]		[[File:Erf.png\|thumb\|435x435px\|Balancing function. Note that for very large and very small ratios, the multiplier approaches 1.5 and 0.5 respectively. \|alt=\|left]]

NaCleric: updated max bounty, more updates required

2023-09-09T08:50:55Z

updated max bounty, more updates required

← Older revision		Revision as of 08:50, 9 September 2023
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	* Kills made during the Grace game phase award no points.		* Kills made during the Grace game phase award no points.
	* Bounties are capped by two values: the hard cap and the soft cap.		* Bounties are capped by two values: the hard cap and the soft cap.
	** '''The hard cap is ~~500~~ points. No bounty can exceed this value.''' Killing a player worth ~~500~~ points is rewarded by the achievement "There was a price on your head!"		** '''The hard cap is 750 points. No bounty can exceed this value.''' Killing a player worth 750 points is rewarded by the achievement "There was a price on your head!"
	** The soft cap is the sum of bounties earned by the victim in last life (with minimum value of <math>R_i/2</math>). This is ignored when a kill is made by [[Gladiator]].		** The soft cap is the sum of bounties earned by the victim in last life (with minimum value of <math>R_i/2</math>). This is ignored when a kill is made by [[Gladiator]].

	[[File:Bounties.png\|thumb\|500x500px\|Bounty graph (dependence of bounty on killscore) for each class. Score of both teams is assumed to be equal and the soft cap is ignored. Note that Gladiator and Wizard, as well as Warrior and Marksman have the same bounty. All pirate classes have the same bounty as well.\|alt=]]		[[File:Bounties.png\|thumb\|500x500px\|Bounty graph (dependence of bounty on killscore) for each class. Score of both teams is assumed to be equal and the soft cap is ignored. Note that Gladiator and Wizard, as well as Warrior and Marksman have the same bounty. All pirate classes have the same bounty as well. '''Outdated'''\|alt=]]

	== Formula ==		== Formula ==

NaCleric: updated image description

2023-04-22T08:53:35Z

updated image description

← Older revision		Revision as of 08:53, 22 April 2023
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	** The soft cap is the sum of bounties earned by the victim in last life (with minimum value of <math>R_i/2</math>). This is ignored when a kill is made by [[Gladiator]].		** The soft cap is the sum of bounties earned by the victim in last life (with minimum value of <math>R_i/2</math>). This is ignored when a kill is made by [[Gladiator]].

	[[File:Bounties.png\|thumb\|500x500px\|Bounty graph (dependence of bounty on killscore) for each class. Score of both teams is assumed to be equal. Note that ~~Scout~~, ~~Alchemist~~ and ~~Wizard all~~ have the same bounty. All pirate classes have the same bounty as well.\|alt=]]		[[File:Bounties.png\|thumb\|500x500px\|Bounty graph (dependence of bounty on killscore) for each class. Score of both teams is assumed to be equal and the soft cap is ignored. Note that Gladiator and Wizard, as well as Warrior and Marksman have the same bounty. All pirate classes have the same bounty as well.\|alt=]]

	== Formula ==		== Formula ==

NaCleric at 14:26, 18 December 2022

2022-12-18T14:26:59Z

← Older revision		Revision as of 14:26, 18 December 2022
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	'''Bounty''' system is a system that rewards players for killing their opponents. The exact formula for calculating kill bounties is somewhat complicated and is described in the next section, but the basics are covered in this section.		'''Bounty''' system is a system that rewards players for killing their opponents. The exact formula for calculating kill bounties is somewhat complicated and is described in the next section, but the basics are covered in this section.

	* Only '''true deaths''' are considered in the bounty calculation. True death is a death caused by a player from an opposing team. Suicides, being killed by a neutral monster, and teamkills are untrue deaths and ''completely'' ignored.		* Only '''true deaths''' are considered in the bounty calculation. True death is a death caused by a player from an opposing team. Suicides, being killed by a neutral monster, and teamkills are untrue deaths and ''completely'' ignored for the purposes of bounty calculation.
	** That means that you cannot "dodge" a bounty; someone will eventually get it unless you avoid dying for the rest of the game. You can get killed by [[Pirate\|Pirates]] and give your bounty to them.		** That means that you cannot "dodge" a bounty; someone will eventually get it unless you avoid dying for the rest of the game. You can get killed by [[Pirate\|Pirates]] and give your bounty to them.
	* '''The bounty an opponent gets for killing you increases with your kills.''' It is worth noting, that some kills are worth more than others.		* '''The bounty an opponent gets for killing you increases with your kills.''' It is worth noting, that some kills are worth more than others.
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	** '''The hard cap is 500 points. No bounty can exceed this value.''' Killing a player worth 500 points is rewarded by the achievement "There was a price on your head!"		** '''The hard cap is 500 points. No bounty can exceed this value.''' Killing a player worth 500 points is rewarded by the achievement "There was a price on your head!"
	** The soft cap is the sum of bounties earned by the victim in last life (with minimum value of <math>R_i/2</math>). This is ignored when a kill is made by [[Gladiator]].		** The soft cap is the sum of bounties earned by the victim in last life (with minimum value of <math>R_i/2</math>). This is ignored when a kill is made by [[Gladiator]].
	[[File:Bounties.png\|thumb\|~~707x707px~~\|Bounty graph (dependence of bounty on killscore) for each class. Score of both teams is assumed to be equal. Note that Scout, Alchemist and Wizard all have the same bounty.\|alt=]]
			[[File:Bounties.png\|thumb\|500x500px\|Bounty graph (dependence of bounty on killscore) for each class. Score of both teams is assumed to be equal. Note that Scout, Alchemist and Wizard all have the same bounty. All pirate classes have the same bounty as well.\|alt=]]

	== Formula ==		== Formula ==

NaCleric: added description of soft cap, small fixes

2022-05-16T12:01:11Z

added description of soft cap, small fixes

← Older revision		Revision as of 12:01, 16 May 2022
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	'''Bounty''' system is a system that rewards players for killing their opponents. The exact formula for calculating kill bounties is somewhat complicated and is described in the next section, but the basics are covered in this section.		'''Bounty''' system is a system that rewards players for killing their opponents. The exact formula for calculating kill bounties is somewhat complicated and is described in the next section, but the basics are covered in this section.

	* Only '''true deaths''' are considered in the bounty calculation. True death is a death caused by a player from an opposing team. Suicides, monster ~~kills~~, and teamkills are untrue deaths and ''completely'' ignored.		* Only '''true deaths''' are considered in the bounty calculation. True death is a death caused by a player from an opposing team. Suicides, being killed by a neutral monster, and teamkills are untrue deaths and ''completely'' ignored.
	** That means that you cannot "dodge" a bounty; someone will eventually get it unless you avoid dying for the rest of the game. You can get killed by [[Pirate\|Pirates]] and give your bounty to them.		** That means that you cannot "dodge" a bounty; someone will eventually get it unless you avoid dying for the rest of the game. You can get killed by [[Pirate\|Pirates]] and give your bounty to them.
	* '''The bounty an opponent gets for killing you increases with your kills.''' It is worth noting, that some kills are worth more than others.		* '''The bounty an opponent gets for killing you increases with your kills.''' It is worth noting, that some kills are worth more than others.
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	* The bounty scaling factor <math>\alpha_i</math> expresses how quickly the bounty increases.		* The bounty scaling factor <math>\alpha_i</math> expresses how quickly the bounty increases.
	* Kills made during the Grace game phase award no points.		* Kills made during the Grace game phase award no points.
	* Bounties are capped by two values: the hard cap and the soft cap.[[File:Bounties.png\|thumb\|707x707px\|Bounty graph (dependence of bounty on killscore) for each class. Score of both teams is assumed to be equal. Note that Scout, Alchemist and Wizard all have the same bounty.\|alt=]]		* Bounties are capped by two values: the hard cap and the soft cap.
			** '''The hard cap is 500 points. No bounty can exceed this value.''' Killing a player worth 500 points is rewarded by the achievement "There was a price on your head!"
			** The soft cap is the sum of bounties earned by the victim in last life (with minimum value of <math>R_i/2</math>). This is ignored when a kill is made by [[Gladiator]].
			[[File:Bounties.png\|thumb\|707x707px\|Bounty graph (dependence of bounty on killscore) for each class. Score of both teams is assumed to be equal. Note that Scout, Alchemist and Wizard all have the same bounty.\|alt=]]

	== Formula ==		== Formula ==
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	and <math>killscore</math> is the sum of logarithmic kill values (LKVs) of players, that B has killed in their last life.		and <math>killscore</math> is the sum of logarithmic kill values (LKVs) of players, that B has killed in their last life.

			A class' LKV can be determined as <math>LKV ={1\over4}*\ln(R_i)</math>.

			Bounty for a single kill cannot exceed 500 points. It is also limited by the value <math>soft cap = max(R_i/2, C_B)</math>, where <math>C_B</math> is the sum of bounties earned by player B since last true death. Kills made by a [[Gladiator]] ignore the soft cap.
	Bounty for a single kill cannot exceed 500 points.

	~~A class' LKV can be determined as~~ <math>~~LKV~~ =~~{1\over4}*\ln~~(R_i)</math>.

	The balancing function serves as a comeback mechanic for teams that are behind in points. It's defined as		The balancing function serves as a comeback mechanic for teams that are behind in points. It's defined as

	<math>f(x) = 1+\frac{1}{2}erf(2(x-1))</math>, where erf(x) is the error function. This multiplier doesnt apply during the first five minutes of the game.		<math>f(x) = 1+\frac{1}{2}erf(2(x-1))</math>, where <math>erf(x)</math> is the error function. This multiplier doesnt apply during the first five minutes of the game and it is equal to 0 during the Grace phase.
	[[File:Erf.png\|thumb\|435x435px\|Balancing function. Note that for very large and very small ratios, the multiplier approaches 1.5 and 0.5 respectively. \|alt=\|left]]		[[File:Erf.png\|thumb\|435x435px\|Balancing function. Note that for very large and very small ratios, the multiplier approaches 1.5 and 0.5 respectively. \|alt=\|left]]

NaCleric at 11:47, 16 May 2022

2022-05-16T11:47:50Z

← Older revision		Revision as of 11:47, 16 May 2022
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	** This modifier doesn't apply in the first 5 minutes of a game.		** This modifier doesn't apply in the first 5 minutes of a game.
	* The bounty scaling factor <math>\alpha_i</math> expresses how quickly the bounty increases.		* The bounty scaling factor <math>\alpha_i</math> expresses how quickly the bounty increases.
	* ~~The '''maximum awarded bounty''' is currently set to 500~~ points.[[File:Bounties.png\|thumb\|707x707px\|Bounty graph (dependence of bounty on killscore) for each class. Score of both teams is assumed to be equal. Note that Scout, Alchemist and Wizard all have the same bounty.\|alt=]]		* Kills made during the Grace game phase award no points.
			* Bounties are capped by two values: the hard cap and the soft cap.[[File:Bounties.png\|thumb\|707x707px\|Bounty graph (dependence of bounty on killscore) for each class. Score of both teams is assumed to be equal. Note that Scout, Alchemist and Wizard all have the same bounty.\|alt=]]

	== Formula ==		== Formula ==

NaCleric: small changes to reflect changes to bounties. TBD: how bounty limiting works now

2021-03-28T12:07:41Z

small changes to reflect changes to bounties. TBD: how bounty limiting works now

← Older revision		Revision as of 12:07, 28 March 2021
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	** This modifier doesn't apply in the first 5 minutes of a game.		** This modifier doesn't apply in the first 5 minutes of a game.
	* The bounty scaling factor <math>\alpha_i</math> expresses how quickly the bounty increases.		* The bounty scaling factor <math>\alpha_i</math> expresses how quickly the bounty increases.
	** When a [[Gladiator]] kills you, they increase your scaling factor by 0.2 for that kill only.
	* The '''maximum awarded bounty''' is currently set to 500 points.[[File:Bounties.png\|thumb\|707x707px\|Bounty graph (dependence of bounty on killscore) for each class. Score of both teams is assumed to be equal. Note that Scout, Alchemist and Wizard all have the same bounty.\|alt=]]		* The '''maximum awarded bounty''' is currently set to 500 points.[[File:Bounties.png\|thumb\|707x707px\|Bounty graph (dependence of bounty on killscore) for each class. Score of both teams is assumed to be equal. Note that Scout, Alchemist and Wizard all have the same bounty.\|alt=]]

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	The formula for determining bounty that player A gets for killing player B is:		The formula for determining bounty that player A gets for killing player B is:

	<math>bounty = f\left ( \frac{p_B}{p_A} \right )\frac{R_i}{2}( 1+\left ( \frac{killscore}{2.1875} \right )^{(\alpha_i~~+\alpha_b)~~})</math>,		<math>bounty = f\left ( \frac{p_B}{p_A} \right )\frac{R_i}{2}( 1+\left ( \frac{killscore}{2.1875} \right )^{\alpha_i})</math>,

	where <math>p_A</math> and <math>p_B</math> are point totals of A's and B's team,		where <math>p_A</math> and <math>p_B</math> are point totals of A's and B's team,
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	<math>f(x)</math> is a balancing function that is described further,		<math>f(x)</math> is a balancing function that is described further,

	<math>R_i</math> and <math>\alpha_i</math> are parameters specific to player B's class,		<math>R_i</math> and <math>\alpha_i</math> are parameters specific to player B's class

	<math>~~\alpha_b~~</math> is the ~~bounty bonus~~ (~~for example if the killer is a Gladiator~~),		and <math>killscore</math> is the sum of logarithmic kill values (LKVs) of players, that B has killed in their last life.

	~~and <math>killscore</math> is the sum of logarithmic kill values (LKVs) of players, that B has killed in their last life.~~

NaCleric: typo

2021-01-04T13:49:18Z

typo

← Older revision		Revision as of 13:49, 4 January 2021
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	<math>f(x)</math> is a balancing function that is described further,		<math>f(x)</math> is a balancing function that is described further,

	<math>R_i</math> and <math>\alpha_i</math> are parameters specific player B's class,		<math>R_i</math> and <math>\alpha_i</math> are parameters specific to player B's class,

	<math>\~~alpha_B~~</math> is the bounty bonus (for example if the killer is a Gladiator),		<math>\alpha_b</math> is the bounty bonus (for example if the killer is a Gladiator),

	and <math>killscore</math> is the sum of logarithmic kill values (LKVs) of players, that B has killed in their last life.		and <math>killscore</math> is the sum of logarithmic kill values (LKVs) of players, that B has killed in their last life.

NaCleric: typo

2021-01-03T11:59:52Z

typo

← Older revision		Revision as of 11:59, 3 January 2021
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	The balancing function serves as a comeback mechanic for teams that are behind in points. It's defined as		The balancing function serves as a comeback mechanic for teams that are behind in points. It's defined as

	<math>f(x) = 1+\frac{1}{2}erf(2(x-1))</math>, where erf(x) is the error function. This multiplier doesnt apply during the ~~firts~~ five minutes of the game.		<math>f(x) = 1+\frac{1}{2}erf(2(x-1))</math>, where erf(x) is the error function. This multiplier doesnt apply during the first five minutes of the game.
	[[File:Erf.png\|thumb\|435x435px\|Balancing function. Note that for very large and very small ratios, the multiplier approaches 1.5 and 0.5 respectively. \|alt=\|left]]		[[File:Erf.png\|thumb\|435x435px\|Balancing function. Note that for very large and very small ratios, the multiplier approaches 1.5 and 0.5 respectively. \|alt=\|left]]

NaCleric at 11:53, 3 January 2021

2021-01-03T11:53:56Z

← Older revision		Revision as of 11:53, 3 January 2021
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	'''Bounty''' system is a system that rewards players for killing their opponents. The exact formula for calculating kill bounties is somewhat complicated and is described in the next section, but the basics are covered in this section.		'''Bounty''' system is a system that rewards players for killing their opponents. The exact formula for calculating kill bounties is somewhat complicated and is described in the next section, but the basics are covered in this section.

	* Only true deaths are considered in the bounty calculation. True death is a death caused by a player from an opposing team. Suicides, monster kills, and teamkills are untrue deaths and ''completely'' ignored.		* Only '''true deaths''' are considered in the bounty calculation. True death is a death caused by a player from an opposing team. Suicides, monster kills, and teamkills are untrue deaths and ''completely'' ignored.
	** That means that you cannot "dodge" a bounty; someone will eventually get it unless you avoid dying for the rest of the game. You can get killed by [[Pirate\|Pirates]] and give your bounty to them.		** That means that you cannot "dodge" a bounty; someone will eventually get it unless you avoid dying for the rest of the game. You can get killed by [[Pirate\|Pirates]] and give your bounty to them.
	* The bounty an opponent gets for killing you increases with your kills. It is worth noting, that some kills are worth more than others.		* '''The bounty an opponent gets for killing you increases with your kills.''' It is worth noting, that some kills are worth more than others.
	** The exact "worth" of a kill is determined by the LKV as described further.		** The exact "worth" of a kill is determined by the LKV of the killed player's class as described further.
	* Your bounty starts at ''half'' of the bounty base value and steadily increases from there.		* Your bounty starts at ''half'' of the bounty base value and steadily increases from there.
	* The bounty depends on the score of your and your killer's team. If your score is higher, the bounty will be higher as well. If your score is smaller, the killer will recieved reduced points. This is a multiplictave modifier applied last. It ranges from 0.5 to 1.5.		* The bounty depends on the score of your and your killer's team. If your score is higher, the bounty will be higher as well. If your score is smaller, the killer will recieved reduced points. This is a multiplictave modifier applied last. It ranges from 0.5 to 1.5.
	** This modifier doesn't apply in the first 5 minutes of a game.		** This modifier doesn't apply in the first 5 minutes of a game.
	* The bounty scaling factor <math>\alpha_i</math> expresses how quickly the bounty increases.		* The bounty scaling factor <math>\alpha_i</math> expresses how quickly the bounty increases.
	** It would be more precise to say that it determines the increase after you reach killscore of 2.2.
	** Scaling factor 1 matches linear increase of bounty with killscore.
	** When a [[Gladiator]] kills you, they increase your scaling factor by 0.2 for that kill only.		** When a [[Gladiator]] kills you, they increase your scaling factor by 0.2 for that kill only.
	* The '''maximum awarded bounty''' is currently set to 500 points.[[File:Bounties.png\|thumb\|~~571x571px~~\|Bounty graph (dependence of bounty on killscore) for each class. Score of both teams is assumed to be equal. Note that Scout, Alchemist and Wizard all have the same bounty.\|alt=]]		* The '''maximum awarded bounty''' is currently set to 500 points.[[File:Bounties.png\|thumb\|707x707px\|Bounty graph (dependence of bounty on killscore) for each class. Score of both teams is assumed to be equal. Note that Scout, Alchemist and Wizard all have the same bounty.\|alt=]]

	== Formula ==		== Formula ==
	The formula for determining bounty that player A gets for killing player B is:		The formula for determining bounty that player A gets for killing player B is:

	<math>bounty = f\left ( \frac{p_B}{p_A} \right )\frac{R_i}{2}( 1+\left ( \frac{killscore}{2.1875} \right )^{(\alpha_i+\alpha_b)}</math>,		<math>bounty = f\left ( \frac{p_B}{p_A} \right )\frac{R_i}{2}( 1+\left ( \frac{killscore}{2.1875} \right )^{(\alpha_i+\alpha_b)})</math>,

	where <math>p_A</math> and <math>p_B</math> are point totals of A's and B's team,		where <math>p_A</math> and <math>p_B</math> are point totals of A's and B's team,
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	The balancing function serves as a comeback mechanic for teams that are behind in points. It's defined as		The balancing function serves as a comeback mechanic for teams that are behind in points. It's defined as

	<math>f(x) = 1+\frac{1}{2}erf(2(x-1))</math>, where erf(x) is the error function.		<math>f(x) = 1+\frac{1}{2}erf(2(x-1))</math>, where erf(x) is the error function. This multiplier doesnt apply during the firts five minutes of the game.
	[[File:Erf.png\|thumb\|435x435px\|Balancing function. Note that for very large and very small ratios, the multiplier approaches 1.5 and 0.5 respectively. ]]		[[File:Erf.png\|thumb\|435x435px\|Balancing function. Note that for very large and very small ratios, the multiplier approaches 1.5 and 0.5 respectively. \|alt=\|left]]