Systematic Political Science
 
 

The Neuroscience and Condorcet’s Paradox of Inequalities in International Perspectives: Reaching an Acceptable Efficiency with the Gini Coefficient

by
Dallas F. Bell, Jr.

(This paper was accepted for presentation at the Eighth International Conference on Interdisciplinary Social Sciences from 30 July to 1 August, 2013, at Charles University's faculty of social sciences in Prague, Czech Republic.)

Abstract:  Inequality is an international perspective commonly expressed by voters.  Neuroscience warns of the individual harm released cortisol can have due to chronic stress.  Violent revolutions are caused by chronic societal stress.  Marquis de Condorcet (1743-1794) is credited with addressing the paradox of individual voter preferences.  His paradox demonstrates how majority voter wishes can conflict.  The potential of those observations are explored here.  An equivalence relation partitions a set, in this case voters, so that every element of the set is a member of one and only one cell of the partition.  A binary relation of a set must be reflexive, transitive, and symmetric.  Vilfredo Pareto (1848-1923) described efficient as when goods are gained by one person while making another person worse off.  A Pareto improvement makes one person better off while not making another person worse off.  Pareto efficiency is reached when no more improvements can be made.  A Gini coefficient, named for Corrado Gini (1884-1965), uses a point between 0 and 1 to index inequality.  0 signifies voter perception of perfect equality.  1 signifies the voter perception of only one person having satisfaction and is considered to be a state of perfect inequality.  It is argued that an equilibrium of acceptable voter perspectives can be reached by creating an electoral process, whereby, there are many initial candidates that address all majority issues which are finally condensed into a runoff election.  It is believed the models by Glenn Firebaugh and John Roemer support this assertion which when enacted will stabilize individuals and the nation-states they represent.        

Keywords:  neuroscience, Condorcet's paradox, inequalities, Pareto efficiency, Gini coefficient, equilibrium.

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It is a common international phenomenon for voters to express the perspective of inequality concerning their socio-political issues.  The term "equality"[1] is used to describe a qualitative relationship.  We know that 2 + 2 = 4 in vacuo.  Those numbers are exact but non-numerical objects often change the quality and circumstances of the relationship.  For example, if 2 rotten apples are added to 2 ripe apples they would not normally equal 4 marketable apples.  Other dimensions of considerations for apples could be their weight, their texture, and their vitamin C content.  Our finite mind has difficulty in truly determining equality and is why it is futile for man to judge the spiritual dimension of other men.[2]

Equality between 2 non-identical objects could never really be completely equal.  Stefan Gosepath, a moral and political philosophy professor at the Free University of Berlin, says the concept of equality does not have a different ontological status as other concepts like truth etc.[3]  Equality, as with truth or justice, can be seen to transcend time and space, and is to be considered an eternal concept.  Then equality and, conversely, inequality must have a universal standard[4] for mankind as is observed in mathematics.

Innate justice emanates from an immutable theological standard for equality.[5]  This aseity (L. from self) requires a self-existent and pre-existent Creator that is necessarily a monotheistic being.[6]  These are incommunicable Divine attributes, along with omnipresence and omniscience etc.  All intellects created by this Creator are subject to communicable attributes, such as equality, justice, love, wisdom[7] and liberty, etc.[8]

Equality and liberty are compatible in that we can not have equal choice to express love without liberty.  However, with the freedom to choose love indicates an inequality of outcomes, as U.S. founding father Alexander Hamilton (c. 1755-1804) explained.  To remove unequal outcomes requires the removal of freedom which creates a loveless environment.  That effort is against nature and can not be sustained.  God must be love and a lack of love separates the loveless from God.[9]  Love allows for self-sacrifice and its subset of charity and other individual self-equalizing behaviors necessary for societal cohesion.  Therefore, eternal bondage comes from rejecting God's ways and eternal liberty comes from accepting God's ways.[10]

The Thomas Jefferson (1743-1826) view of the foundation principle for the U.S. Declaration of Independence[11] was that "all men are created equal by the Creator with certain unalienable rights, that among these are life, liberty, and the pursuit of happiness."[12]  This does not mean all men are equal.  Men are created equal and should be created equal under the law.[13]  On the other hand, the French Revolution adopted the motto of liberté, équalité, fraternité (F. liberty, equality, fraternity or brotherhood) from Antoine-Francois Momoro (1756-1794).  This became problematic in that equality of outcomes was wrongly added to judicial equality.  Socialists and communists have adopted this evil falsehood.  If men are inherently equal, there can be no difference or distinction allowed.

Israel founded their legislative body in 1948, called the Knesset,[14] based on 2,000 year old rabbinical tradition.[15]  It has the same number of members, 120.[16]  After the election of many parties a government is formed and a prime minister is selected by the president to lead the government who must be confirmed by the Knesset.  At any time the majority of the Knesset can vote in favor of no-confidence and end the government's term.  The president can ask the deposed prime minister to try to form a new acceptable government or can call for early elections. 

The stress caused by a perceived lack of liberty and equality causes the release of the steroid hormone cortisol from the adrenal cortex.  Cortisol binds to receptors in neurons.  That causes the neurons to admit more calcium (Ca2+) into ion channels.  If neurons are chronically overloaded with calcium they will die in a state of excitotoxicity.[17]  It also suppresses the immune system in preparation for a fight-or-flight type survival response[18] to physiological and psychological stress.  This can produce widespread alterations in the physiology of both the body and the brain, even short and long term memory encoding.

Violent revolution is caused by prolonged stress.  A chief reason is perceived inequality of issues represented by voters.[19]  The ideation of voter inequality can be compared to triangle inequality.  The sum of the length of any two sides must be greater than the remaining side.  It is an unnatural state for there to be only one credible issue/candidate, as seen in dictatorships, or just two credible issue/candidates, as seen in societies such as the U.S.  The more the issues, the greater the potential perception of inequality.  An ideal election begins with an electoral process accommodating the representation of all issues, narrowed to two, followed by a runoff election to select the final candidate to govern.

Marquis de Condorcet's paradox looked at how 3 equal groups of voters with 3 separate issues could support 3 separate candidates.  A majority rule would not work in such a case.  That voter paradox (Gr. para meaning along side of, doxa meaning to seem or appear) is not a contradiction.  It is the observation of an unexpected circumstance.  This situation is less likely if voters have the same immutable standards for prioritizing issues/candidates.  The highest voter goal is to prioritize with God's laws and with self-sacrificing as examples to those self-serving people indifferent to or hostile to God's laws.  Whoever forms the values that leads to formation of issues (e.g. government schools, parents, media etc.) will control the electorate.

An equivalence relation partitions a set, in this case voters, so that every element of the set is a member of one and only one cell partition.  A binary relation of a set must be reflexive (a = a), symmetrical (a = b then b = a), and transitive (a = b and b = c then a = c).  Vilfredo Pareto described efficiency as when goods are gained by one person while making another person worse off.  A Pareto improvement makes one person better off while not making another person worse off.  A weak improvement is considered only if an allocation is strictly preferred by all individuals.  Pareto efficiency is reached when no more improvements can be made.

A Gini coefficient, named for Corrado Gini, uses a point between 0 and 1 to index inequality.  The formula is as follows.

0 signifies unattainable voter perception of perfect equality of representation of issues.  1 signifies the voter perception of only one person having satisfaction of issue representation and is a perfect state of inequality seen in dictatorships by socialist and communist regimes.  An equilibrium of acceptable voter perspectives can be reached by creating an electoral process described earlier.  The many viable initial candidates address all majority issues are finally condensed into a runoff election.  Of course, the variable of population numbers and history, average IQ or problem solving abilities of the voters, and theological beliefs will affect the process.

Glenn Firebaugh reduces the standard inequality indices to a generalized form, Inequality Index = \Sigma_j p_j f(r_j) and recommends this index in measuring perceptions, as opposed to tangible income inequality.[20]  John Roemer created a mode of competition between political parties.  His concept introduces party-unanimity Nash equilibrium (PUNE).  All parties consist of opportunists (seeking to maximize vote share of an election), militants (seeking to implement preferred policies of the average member), and reformers (seeking the combination of the functions of opportunist and militants).  Most of all cases are described as reflecting PUNE though the existence of non-trivial PUNE's has not yet been proven.[21]

Drew Westen's[22] (2007) book, The Political Brain: The Role of Emotion in Deciding the Fate of a Nation, analyzes the brain scan of two U.S. political parties in the highly contested presidential election of 2004.  Essentially he concluded that the brain processes politics like emotions.  He believes the brain is not a dispassionate political machine looking for correct facts and figures to form policies and reasonable decisions.[23]  David Hume (1711-1776) suggested reason is slave to emotion.[24]  Joshua Greene and Jonathan Haidt used fMRI scans and found that moral decision-making is a competing process between reason and emotion.[25]  That reality must be ultimately addressed by successful election models.

The equilibrium of acceptable voter perspectives can be reached with an accommodating electoral process model which when enacted provides the opportunity to stabilize individual behavior and the nation-states they represent and can be measured by the tools presented.  This is only an efficient opportunity and does not guarantee the best voter decision-making.[26]  It is known[27] that many times the only thing we (voters) learn from history is that we (voters) do not learn from history—quod erat faciendum.          

 



[1] Find more information on equality at the following address.

http://plato.stanford.edu/entries/equality/

[2] Man judges wrongly (KJV Bible Gen. 39:10-20; Luke 7:38-50).  Man is not to judge other men (Matt. 7:1-5).

[3] Gosepath's comments were expressed to Dallas F. Bell Jr. in an email exchange during April, 2013.

[4] Eze. 18:25, 29; II Cor. 6:14.

[5] Theology (Ps. 98:9; Eph. 6:8-9).  Justice (Ps. 99:4; Prov. 1:3).

[6] The Christian doctrine of the triune God maintains a monotheistic being with three essences of the Father, the Son (Jesus), and the Holy Spirit all complete and acting in one accord (Gen. 1:26; Matt. 28:19).

[7] The fear of the Lord is the beginning of wisdom and the knowledge of the holy is understanding (Prov. 9:10).  To depart from evil is understanding (Job 28:28).  Those with understanding will do God's commandments (Ps. 111:10).

[8] Views of equality and liberty would likely be extended to non-human intellects.  For the expressed purpose (see the 2010 book titled The Grand Design roundly criticized by scientists, such as Baroness Susan Greenfield, as being based on very flawed science) of disproving biblical teaching and therefore the existence of God, it has been speculated by atheist Oxford physicist Stephen Hawking and others that there is other intelligent life in the universe.  If so they would be subject to communicable attributes.  Thomas O'Meara, a theology professor emeritus at the University of Notre Dame, has written a (2012) book titled Vast Universe: Extraterrestrials and Christian Revelation that looks at this idea.  In an email exchange with Dallas F. Bell Jr. in April, 2013, O'Meara recommends his book for possible variety of intelligence and freedom for extraterrestrials (ETs).  Br. Guy Consolmagno, Specola Vaticana (Vatican Observatory headquartered in Castel Gandolfo, Italy, with an observatory on Mount Graham, Arizona, which employs the Lucifer camera imager) public relations coordinator for the Vatican State, also recommends O'Meara's book but expressed in an email exchange with Dallas F. Bell Jr. in April, 2013, that he does not even know if  ETs exist.  Lucifer (Heb. hēlēl means morning star) is considered to be another name for Satan (Is. 14:12-18; Luke 10:18).  In an email exchange with Dallas F. Bell Jr. in April, 2013, Anne Rice (nŽe Howard Allen Frances O'Brien) the highly successful author on many subjects expressed that she cannot point to any definable resource on this matter.  Bible prophecy discusses the last days before Jesus' return (Matt. 24:37; Luke 17:26) as being like the days of Noah or Noe (Gen. 6:1-7) with nephilim (giant beings of evil) that God needed to destroy.  People in those last days will believe a great delusion (II Thes. 2:7-12; I Tim. 4:1-3) having been shown signs and wonders (Matt. 24:24) and this has been speculated that there is a return of the demonic nephilim disguised as ETs or angels of good etc.  Such a delusion would entail an assault on clear biblical doctrine (e.g. deity of Jesus [Is. 9:6; John 20:28-30], immutability and inerrancy of scripture [John 10:35; Gal. 1:7-9; Rev. 22:18-20] etc.).  In an email exchange with Fr. Giuseppe Tanzella-Nitti, Opus Dei Theology of the Pontifical University of the Holy Cross, Rome, during April, 2013, he recommended his 2008 work at the Interdisciplinary Encyclopedia of Religion and Science at

http://www.inters.org/extraterrestrial-life

The 2005 Gallup poll of paranormal beliefs for the U.S., Canada, and England shows women are much more likely than men to have paranormal beliefs with the exception of the belief that ET's have visited Earth.

www.gallup.com/poll/19558/paranormal-beliefs-come-supernaturally-some.aspx

A 2008 Harris poll in the U.S. shows that Catholics are more likely than Protestants to believe in Darwin«s disproven theory of evolution (disproven due to species DNA inability to increase and only able to be corrupted) (52 % to 32 %), ghosts (57 % to 41 %), UFOs (43 % to 31 %), and astrology (40 % to 28 %). Protestants are more likely than Catholics to believe in creationism (54 % to 46 %). 

www.harrisinteractive.com/Insights/HarrisVault.aspx
www.washingtontimes.com/news/2008/dec/12/beliefs-in-god-ufos-prevail/#ixzz2R76pxtSN

The Harris 2009 poll of U.S. Jews shows that they are by far the most likely to believe in Darwin's disproven theory of evolution (80%) and the least likely to believe in creationism (20%). They are also less likely than all adults to believe in ghosts (10% to 42%), UFOs (20% to 32%), astrology (19% to 26%); and witches (8% to 23%).

www.harrisinteractive.com/Insights/HarrisVault.aspx

[9] I John 4:7-12.

[10] Rom. 6: 18-23, 8:15.

[11] www.SystematicPoliticalScience.org/independence.html

[12] This theological principle is only supported by adherents of biblical scriptures (Acts 17:26).

[13] This is a biblical principle with man being free to make biblically accepted choices reflected by societal law(s) and does not address the expected inequality of outcome for different choices.  In Earl Shorris' recent book, The Art of Freedom: Teaching the Humanities to the Poor, he asked a female prisoner in New York's maximum-security Bedford prison why she thought the poor were poor.  She replied it was because the poor do not have the morals of those people that live in downtown.  She explained that moral life had to begin with teaching children the morals of people downtown.  They have to be taken to plays, museums, concerts and lectures.  They must be taught the humanities.  In April 2013, the Sorbonne, University of Paris, held a conference to discuss uniting socio-economic science and humanities (SSH).  In an email exchange with Dallas F. Bell Jr., Harvey Mansfield, a professor of government and political philosophy at Harvard University, also supported the unification of the humanities and social sciences to make society more efficient.

[14] Knesset is a term derived from the Great Assembly or Great Synagogue (Heb. כְּנֶסֶת הַגְּדוֹלָהKnesset HaGedolah).

[15] This tradition is uniquely discussed in both the Babylonian Talmud and the Jerusalem Talmud regarding the number of those assembled.

[16] 12 (the biblical/Hebrew number for Divine governance) x 10 (the biblical/Hebrew number for Divine order) = 120 Knesset members.

[17] See chapters 6 and 15 of the 2007 book by M. Bear et al. titled Neuroscience: Exploring the Brain, 3d Ed.  Also see the paper at

www.SystematicPoliticalScience.org/virtue.html

[18] The fight-or-flight response is known as the acute stress response.  It was discussed by Walter Cannon, M.D. (1871-1945) at Harvard Medical School in his 1936 book, The Wisdom of the Body.

[19] Commonly known Western examples are the English Civil Wars (three wars occurring between 1642-1651) with parliament supporters opposed by a tyrannical king system led for a time by the puritan Oliver Cromwell (1599-1658) and the American revolt against England in 1776 for taxation without representation and other grievous inequality and liberty reducing policies.  As we see, governing against nature will cause revolt and must eventually fail.

[20] Firebaugh, Professor of American Institutions, Sociology, and Demography at Pennsylvania State University, made this recommendation to Dallas F. Bell Jr. in an email exchange during March, 2013.

[21] Roemer, Professor of Political Science and Economics at Yale University, and Dallas F. Bell Jr. exchanged email on this topic in March, 2013.

[22] Westen is a psychologist and professor of psychology, psychiatry, and behavioral sciences at Emory University.

[23] Bryan Caplan's 2007 book titled The Myth of the Rational Voter: Why Democracies Choose Bad Policies provides additional information on voters and their policy choices.  Caplan exchanged email regarding this issue with Dallas F. Bell Jr. during April, 2013.

[24] http://plato.stanford.edu/entries/emotions-17th18th/LD8Hume.html

[25] Greene is a professor of social sciences in the department of psychology at Harvard University.  Jonathan Haidt is professor at the Stern School of Business, New York University.  See Greene, J. D., & Haidt, J. (2002). How (and where) does moral judgment work? Trends in Cognitive Sciences, 6, 517-523.  Haidt and Dallas F. Bell Jr. exchanged email on this issue in April, 2013.  He said that MRIs of psychopathy indicates a smaller frontal cortex or at least less activity there (See work by Adrian Raine).  For fMRI, he says, there is work showing that when people have damage to parts of frontal cortex, they behave/judge in some ways as though they had acquired psychopathy.  See the work by Antonio Damasio, and newer work by Koenigs, M., Young, L., Adolphs, R., Tranel, D., Cushman, F., Hauser, M., & Damasio, A. (2007). Damage to the prefrontal cortex increases utilitarian moral judgments. Nature, 446(7138), 908-911.  It can be found at

www.ncbi.nlm.nih.gov/pmc/articles/PMC2244801/

Greene and Dallas F. Bell Jr. exchanged email in April, 2013.  He recommended his papers in re the large and complicated questions posed by fMRI data of differences between moral foundations of individuals and the effects on their emotions.

www.wjh.harvard.edu/~jgreene/

Baroness Susan Greenfield, is a British scientist and member of the House of Lords, explained in an email exchange with Dallas F. Bell Jr. during April, 2013, that though huge amounts of literature has been created on brain scanning and emotions there has not been systematic applications to morality.

[26] The terms of primacy and recency are used in psychology to describe effects of the order of presentation on memory dominance.  Primacy results in information presented earlier being better remembered than information presented later. Conversely, the recency effect results in better remembering of the most recent information presented. Each of these two effects result in the earliest and latest information in a given presentation being recalled best.  Information in the middle time span is least remembered.  Rev. Thomas Bayes (1701-1761) developed a theorem that adds new information to known information in order to determine probabilities.  Bayes' theorem is a tool used by many risk analysts.

[27] See note 16 (I Cor. 1:18-31, 2:1-14).

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