The invention relates to the field of gaming systems and, more particularly, to lotteries wherein each play in the lottery participates in the lottery indefinitely and to lotteries wherein a play's chance of winning is dependent upon a wager corresponding to the play.
Lotteries have long been operated advantageously by governments and charitable organizations for the raising of revenues. Today, governments and private organizations around the world operate lotteries for the raising of general revenues or, in the case of many governments, revenues directed to particular social programs such as education. The amounts collected from ticket sales are generally divided between prizes and revenues according to a predetermined formula, less the overhead costs of operating the lottery.
Plays in typical lotteries are made by the purchase of tickets bearing variable game indicia in a specific configuration—e.g. in the Lotto 6/49® game, the variable game indicia (apart from any bonus plays) consists of 6 numbers in the range of 1 to 49 with no number repeated. The tickets are ordinarily purchased during a fixed period immediately followed by a draw. This period may be considered to be a “draw period”. In a typical draw, winning game indicia are randomly determined by either electronic means, such as a computerized random number generator, or mechanical means, such as the well-known lottery ball tumbler. If a ticket's variable game indicia match all or a given subset of the winning game indicia, the player wins a prize.
Lotteries are typically one of two types: numbers games or lotto games. In a numbers game (e.g. Pick 3® or Pick 4®), the game consists of correctly matching a multiple-digit number (e.g. 3- or 4-digit number). In such games, the prize is typically a multiple of the player's wager amount. In a lotto game (e.g. Lotto 6/49®), the game consists of correctly selecting a subset of numbers from a set of unique numbers drawn at random by the lottery organization at the end of the draw period. For example, in a Lotto 6/49® lotto game, the player selects 6 numbers out of 49 with odds of winning approximately 14 million to one. All players who match all 6 winning numbers share a large “jackpot” prize. Accordingly, the lotto game is a pari-mutuel game. Players who match less than 6 numbers typically win lesser, frequently fixed, prizes. The prize structure for a lotto game defines the percentage of revenue that is allocated to each prize level.
Numbers games and lotto games are characterized by a number of important differences. Numbers games typically have fixed payouts that are relatively smaller than the pari-mutuel jackpot prizes of lotto games. A further difference concerns the players' motivation to participate. In a numbers game, the chances of winning are relatively better and a player may wager more or less based on his hunch on how lucky he feels that day. Conversely, in a lotto game, the chances of winning the jackpot are relatively slight and players typically buy only one ticket merely to participate in the game in order to have a chance, however slight, of winning the jackpot, rather than having no chance at all. Since the chances of winning are already slight, merely participating in the game is generally considered to be more important than the improved chances afforded by multiple tickets. Furthermore, having multiple tickets in a lotto game does not alter the payout (considering only the jackpot and discounting lower prize levels).
In typical lotto games, a ticket is ordinarily eligible only for the next draw following the purchase of the ticket and for no further draws. A player wishing to participate in the game for multiple draws must purchase a new ticket for each draw. In order to assist lotto players to play multiple draws, some lotteries sell multi-draw tickets or use a mail or web subscription service to provide the players a way to play the same numbers for more than one draw, with the cost of such tickets or subscriptions being a multiple of that for one draw. Such methods are, however, limited in time or require additional periodic payments. There is a need, therefore, for a lotto-type lottery wherein a ticket obtained on the payment of a single price is eligible for an indefinite number of subsequent draws or for as long as the game lasts. Furthermore, there is a need for a lottery wherein a play's chance of winning is dependent upon the play's wager amount.
Described herein is a perpetual lottery system and method for use by a plurality of players wherein each play participates in the game indefinitely. The perpetual lottery provides a lotto-type lottery wherein a ticket obtained on the payment of a single price is eligible for an indefinite number of subsequent draws or for as long as the game lasts. Furthermore, described herein is a lottery having a plurality of plays in a draw period followed by a draw in which each play's chance of winning is dependent upon a wager corresponding to the play.
According to one embodiment, there is provided herein a method of determining winning plays in each draw of a lottery. The lottery has a plurality of plays, a series of draw periods and a series of draws. Each draw follows a corresponding draw period and has a prize. Each play is registered in a specific draw period in the series of draw periods, and has variable game indicia and a wager contributing to the prize. The method comprises: determining a winning draw period for the draw, the winning draw period being any draw period in the series of draw periods preceding the draw; determining winning game indicia for the draw; and comparing the winning game indicia to the variable game indicia of each play registered in the winning draw period. Plays registered in the winning draw period and having variable game indicia matching the winning game indicia are winning plays in the draw. Every play registered prior to the draw is eligible to be a winning play. In this way, each play registered in the lottery is eligible for an indefinite number of future draws.
According to another embodiment, there is provided herein a method of determining winning plays in a draw of a lottery. The lottery has a plurality of plays, a prize and a draw. Each play has variable game indicia and a wager contributing to the prize. The method comprises: apportioning, to each play, a weighted chance of winning the draw based upon the play's wager; determining winning game indicia for the draw based upon the weighted chances of the plays; and comparing the winning game indicia to the variable game indicia of each play. Plays having variable game indicia matching the winning game indicia are winning plays in the draw. In this way, each play's chance of winning the lottery is related to its wager.
According to a further embodiment, there is provided herein a method of determining the prize for each draw in a lottery. The lottery has a plurality of plays, a series of draw periods and a series of draws. Each draw follows a corresponding draw period and has a prize. Each play is registered in a specific draw period in the series of draw periods and has a wager. The method comprises, following the draw period and prior to the corresponding draw: calculating a revenue of the draw period by summing the wagers of the plays registered in the draw period; apportioning a part of the revenue of the draw period to a prize money allocation of the draw period; calculating a current prize money for the draw by summing the prize money allocation for the draw period and a portion carried forward from the previous draw; and apportioning the current prize money for the draw between the prize for the draw and a portion carried forward to the next draw. In this way, the prize for the draw comprises portions of the wagers of all of the plays registered prior to the draw.
An understanding of the invention will be obtained from the following description, with reference to the following drawings in which:
Described herein is a perpetual lottery system and method for use by a plurality of players wherein each play participates in the game indefinitely. The lottery may comprise any game of chance wherein each play corresponds to variable game indicia and to play registration means for registering the play. Play registration means 10 according to one embodiment of the invention are illustrated in
In each case, the player may select the variable game indicia of the play by any suitable means including verbal communication, using a betslip, or by an electronic variant including a web entry form or SMS message. Alternatively, the variable game indicia may be generated by the central server 30 and provided to the player. In any event, the central server 30 will confirm that the play is consistent with the rules of the lottery and register the play, including the variable game indicia and wager amount, in a play database 60. The player may either pay the ticket vendor or provide payment information which the central server may use to process the payment. Regardless of whether the variable game indicia for a play are selected by the player or provided to the player, they are fixed once the play is registered.
The lottery also preferably comprises play indication means which indicate the play including the variable game indicia and any other required information. The play indication means may comprise a ticket bearing the variable game indicia and the other required information such as are typically used in lotto games, or an electronic receipt receivable over the Internet, by SMS communication, or by any other suitable means. The variable game indicia may include any symbols including numbers such as are used in typical lotto games.
In one embodiment of a perpetual lottery, an indefinite series of draws are held to determine the winner or winners of prizes corresponding to each draw. A player who registers a play in the lottery by, for example, purchasing a ticket remains in the game indefinitely and is generally eligible for all draws subsequent to the purchase of the ticket. In other words, a play registered in the play database is eligible in all draws subsequent to the registration of the play; the play is neither expunged nor rendered inactive until the lottery is discontinued altogether. In contrast with lottery methods in the prior art, a player in the perpetual lottery pays a single amount for a play which is eligible for an indefinite number of future draws. Rather than paying a new amount for each draw on a subscription basis or paying a single amount for a fixed number of future draws that is a multiple of the amount for a single draw, only one amount is paid.
In the perpetual lottery, the registration of a play occurs in, and the play is associated with, a specific draw period in a series of draw periods. A draw period consists of a period of time during which plays are registered and is immediately followed by a corresponding draw. Each draw has a prize, wherein each play's wager contributes to the prize. Each play is characterized by both variable game indicia and a specific draw period. Each draw period will typically have numerous plays and the draw periods may be considered, therefore, to be distinct groups of plays. The lottery has, therefore, a plurality of plays.
A ticket 70 according to one embodiment of the invention is shown in
As discussed above, a draw follows each draw period in the perpetual lottery, with a plurality of plays registered in each draw period. A method 120 of determining winning plays in each draw according to one embodiment of the invention is illustrated in the flowchart of
The determination of the winning draw period may be performed either before or after the determination of the winning game indicia. Where the winning draw period is determined before the determination of the winning game indicia, the determination of the winning draw period may be considered to be a preliminary draw (step 130), as shown in
Once the winning draw period and winning game indicia are determined, the winning game indicia are compared to the variable game indicia of all of the plays registered in the winning draw period (step 150) (e.g. by the central server)—those plays having matching variable game indicia are winning plays (output 160) and an indication of the same may be stored in the play database. Players may then be informed of the winning plays either by publication or by private notification (e.g. e-mail). The player may submit their play for verification (e.g. reading or scanning a ticket at a POS terminal and submitting the information to the central server) to receive their prize; where a winning player has provided financial information, the player's account may instead be credited automatically. In either case, the central server would decide a player's claim for a prize by reference to the play database. Players will preferably have a limited period in which to claim prizes, after which the prize may be forfeited to the lottery organization or carried forward to the next draw. The next draw period then begins, usually immediately following the completion of the prior draw, and the process repeats.
In a draw in an ordinary lotto game, every eligible ticket typically has an equal chance of winning the draw. The chances of each draw period in the perpetual lottery of being the winning draw period may likewise be equal, and the winning draw period randomly selected from the draw periods preceding the draw. In a lottery in a further embodiment of the invention, however, the chances of each of the draw periods being determined to be the winning draw period in any particular draw are not necessarily equal. The chance of each draw period is preferably weighted so that the draw period has a progressively diminishing chance of being the winning draw period in each successive draw. The weighting may be determined either according to characteristics of the draw period or independently therefrom. For example, the weighting may simply provide that draw periods have exponentially decreasing chances of being the winning draw period in successive draws. Alternatively, and as will be further described below, each draw period's chance of being the winning draw period for any particular draw may be weighted according to the composition of the prize corresponding to the particular draw.
The weighting of each draw period's chance of being the winning draw period in a particular draw according to the composition of the prize corresponding to the particular draw may be better understood by first considering the general allocation of money in a typical lotto game. In a typical lotto game, the revenues, R, collected from ticket sales during each draw period are divided as follows:
(1)R=P+F
where P is the prize money allocation and F is the money allocated to taxes, contributions to good causes, the overhead costs of the lottery and the organizer's profit. In a typical lotto game, all of the prize money allocation, P, for a draw is available as prize money in that draw—i.e. winning plays may receive the entirety of the prize money allocation. If no play wins the draw, the prize money is typically carried forward and added to the prize money of the next draw (i.e. an accumulating, or so-called progressive, jackpot).
Similarly, in a lottery according to one embodiment of the present invention, each draw period may be apportioned a weighted chance of being the winning draw period according to the composition of the prize determined according to the method 170 illustrated by the flowchart in
Rd=Pd+Fd (2)
where, for the draw following draw period d, Pd is the prize money allocation and Fd is the money applied to the overhead costs of the lottery and retained for the organizer's profit. The prize money allocation, Pd, contributes to the current prize money, Pcd, for draw, d, which also includes a portion carried forward, Pfd-1, from the previous draw, d−1 (step 200):
Pcd=Pd+Pfd-1 (3)
Likewise, a portion, Pfd,, is carried forward from the current prize money, Pcd, of draw d to the next draw, d+1. Accordingly, the entirety of the current prize money, Pcd, for draw d is not available for the prize, Prized, for draw d—an amount is carried forward to the next draw, d+1, leaving as a prize for draw d (step 210):
Prized=Pcd−Pfd (4)
As in a typical lotto game, prize money that is not won in draw d may be carried forward to the next draw d+1 in a jackpot rollover fashion. As described above, and unlike in a typical lottery, a portion of the current prize money, Pcd, for the current draw is carried forward and added to the prize money of the next draw prior to the performance of the current draw. This prize money carried forward is independent of any jackpot rollover and is added to the next draw's current prize money regardless of whether the current draw prize is won. Likewise, the current prize money, Pcd, for any given draw includes the prize money allocation for that draw and the prize money carried forward from the previous draw. The prize money carried forward, Pfd-1, from the previous draw is calculated as follows:
Pfd-1=f×Pcd-1 (5)
where f is a positive multiplier less than 1. Alternatively, f could be a function of any of the quantities in the lottery including the current prize money. As may be shown by a recursive substitution of the expressions for Pfd-1 and Pcd in the above expressions, the current prize money, Pcd, for any particular draw d is given generally by:
For example:
d=1;Pc1=f0×P1≡P1 (7)
Thus, in the first draw, d=1, of the perpetual lottery, the current prize money, Pc1, is merely the prize money allocation, P1, as there is no previous draw period to provide a portion carried forward. Likewise, in the second draw, d=2:
d=2;Pc2=f1×P1+f0×P2≡f×P1+P2 (8)
being the current draw's prize money allocation, P2, and a fraction, f, of the previous draw's prize money allocation, P1. Similarly, for the third draw, d=3:
d=3;Pc3=f2×P1+f2×P2+f0×P3≡f×P2+P3 (9)
As may readily be seen, the current prize money, Pcd, for any particular draw d is a summation of the current draw's prize money allocation and exponentially diminishing fractions of the prize money allocations of the previous draws. As each draw period's prize money allocation derives from the wagers of the plays registered in that draw period, every draw period, and therefore every play's wager, prior to any given draw contributes to the draw's current prize money and therefore to the draw's prize.
As discussed earlier, each draw period's chance of being selected as the winning draw period for any particular draw may be weighted according to the composition of the prize corresponding to the particular draw. This weighting may be chosen having regard to the contribution by the plays registered in each draw period to the current prize money of the draw, as described above. Accordingly, the chance of the n′ draw period being selected as the winning draw period for draw d may be weighted by (having regard to equation (6)) the draw period's contribution, fd-n′×Pn′. to the draw's current prize money, Pcd. The n′ draw period's chance of winning, therefore, may be given by:
Based upon this calculation, the winning draw period for any particular draw may be determined by the method 220 illustrated in the flowchart of
For example, the winning draw period may be determined recursively in the following manner. It may be first determined whether the current draw period or one of the previous draw periods is the winning draw period. The chance of the current draw period being the winning draw period, according to equation (10), is given by:
A draw may be performed to determine, based upon this weighted chance, whether the current draw period, d, is the winning draw period, or rather one of the previous draw periods is the winning draw period. If the current draw period is determined as not being the winning draw period, then the same procedure is performed for the d−1 draw period. If the d−1 draw period is determined as not being the winning draw period, then the same procedure is performed for the d−2 draw period, as so on. Consider an example where Chanced=0.837 and a random number generator which generates a random number between 0 and 1 is used to perform the preliminary draw. Alternatively, a 3-chamber physical draw machine, each loaded with 10 balls ranging from 0 to 9, may be used, with each ball denoting one decimal position. If the random number generator returns a number less than 0.837, then the current draw period d is the winning draw period; otherwise, one of the previous draw periods is the winning draw period. The same procedure would then be applied recursively for the d−1 and further draw periods until a winning draw period is determined.
In another method of performing the preliminary draw, a range of numbers is apportioned to all of the draw periods according to the draw periods' chances of winning. The determination of the winning draw period is then performed by generating a random number within the range of numbers—the winning draw period is the draw period whose portion of the range of numbers contains the random number.
Alternative methods of determining the prize money carried forward and the weighted chances of being the winning draw period are included in the invention. The prize money carried forward may be a fixed amount, may be a function of any of the quantities in the lottery, and may be dependent upon whether a prize was won in the current draw. As described above, calculation of the chances of being the winning draw period may be made with or without regard to any characteristic of a given draw period and may include a predetermined formula or behaviour including an exponential decrease. Additionally, any draw period's chance could be calculated to have a constant or increasing chance of being the winning draw period over a number of draws.
The amount available in one embodiment as a prize (apart from any jackpot rollover) for draw d is the current prize money, Pcd, less the prize money carried forward, Pfd, from draw d, and is given by:
Prized=Pcd−Pfd=Pcd×(1−f) (12)
The prize for each draw may include a single prize level, such as a jackpot-only lotto game, or multiple prize levels won by partial matches to the winning prize indicia, or the like. In this case, the prize is divided into a number of pools. For example, prizes may be given for matching 6, 5, 4 or 3 numbers out of 6 winning numbers, and the prize may be divided as follows:
Prize=Pm6+Pm5+Pm4+Pm3 (13)
where a fraction of the total prize is apportioned to each prize level Pmn according to a predetermined rule. Each of the prize level pools not won in any particular draw may be carried forward to the next draw in a jackpot-rollover fashion or rolled into one or more of the other prize level pools.
In a typical lotto game, jackpot prizes not won in a draw are lost to all of the current ticket holders—implicit in the game is that the lottery organizer is not obligated to pay out all of the prize money allocation within the same draw. Players wanting a chance to win the jackpot rollover must purchase tickets in the next draw. In contrast, plays in a perpetual lottery according to the invention are indefinitely eligible to win all jackpot rollovers, generally with progressively diminishing chances. Alternatively, the rules of the game may provide that amounts not won in the current draw may be lost from a particular prize pool and retained by the organizer in a reserve, or “seed”, fund, as is typically the case with non-jackpot prize pools.
In the case of multiple prize levels, determining the winning draw periods for each level may proceed in any of the follow ways:
A ticket representing the play indication means for a play in a further embodiment of the invention is shown in
Shown in the flowchart in
The above-described embodiment of the invention generally consists of a lottery having a plurality of plays in a draw period followed by a draw in which each play's chance of winning is weighted by the play's wager. Each play has a variable game indicia, preferably comprising a unique identifier, and is registered by play registration means which may include means to provide for the purchase of a ticket by a player. The play registration means may include any of the play registration means described above, and may also provide for the provision of play indication means including the unique identifier, the wager amount and any other required information.
In a further embodiment, the wager amount associated with each play consists of the price of the play, wherein a fixed selection of prices is available to players to select from; alternatively, the price may be any arbitrary amount selected by the player. In either case, the price of the play represents the play's wager. Each play's chance of winning the draw is proportional to the contribution of the play's wager to the overall revenue of the draw period with the overall revenue being the sum of all of the play wagers. The overall revenue, R, can be represented by:
where i identifies the play and wi represents the wager corresponding to play i contributing to the draw period revenue, R. In this case, each play's chance of winning, Ci, the draw would be given by:
Since the overall revenue is apportioned between the prize and the overhead of the lottery, the wager amounts may likewise be considered to contribute to the prize in the same proportion. Furthermore, the random draw could be performed by any suitable draw means as described earlier, including computerized random number generators or physical lottery systems such as ball tumbler machines as are known in the art.
In a further embodiment of the invention, the lottery has a single draw period or multiple independent draw periods and a draw following each draw period. As in the above-described embodiment, a variable wager may be made with each play giving the play a chance of winning the corresponding draw wherein the chance is proportional to the wager amount. The duration of each draw period in this embodiment is flexible and is determined by a target prize pool amount rather than being fixed in duration, as in the above-described embodiment. In this case, the draw period ends, and a draw is held, only when the prize pool reaches a predetermined target amount. In this way, a player will know what the prize will be and what his relative chance of winning will be at the time of registering a play and making a wager.
The same principle described above can be applied to the perpetual lottery in a previously-described embodiment having multiple draw periods and a preliminary draw to determine the winning draw period. In this case, the duration of each draw period would be the amount of time it takes for the prize money allocation, Pd, to grow to a predetermined target amount, rather than a fixed period in time. In a further embodiment, the target prize money allocation, P′, is selected to be a constant amount for all draws. Substituting P′ for Pn in equation (6) gives:
Accordingly, the chances of any given draw period, n′, of being the winning draw period in draw, d, in this embodiment is given by substituting the above expression into equation (10):
Thus, in the above-described embodiment, a given draw period's chances of being the winning draw period in each successive draw decreases at an exponential, but predictable, rate. As such, the lottery organizer and the players will know at the time of a play's registration the corresponding draw period's chances of winning in each successive draw.
With the foregoing exemplary embodiments of the invention having been disclosed, it will be apparent to those skilled in the art that various changes and modifications can be made to appropriately suit the needs and objectives of another application and still achieve the advantages of the invention; all such changes and modifications are intended to fall within the scope of the invention as defined by the claims that follow.