Showing posts with label Game Theory. Show all posts
Showing posts with label Game Theory. Show all posts

Tuesday, June 12, 2012

Analysis of History-Centrism: Landing Page

This is a landing page for ongoing research work that attempts to model History-Centric Thought Systems (HCTS), the nature of its membership and how it is likely to interact with thought systems that are not history-centric, as well as its impact on cultural diversity.

This is not a finished work of research. We are just getting warmed up! Comments, criticism, corrections welcome. Suggestions on how to take this analysis forward meaningfully (without getting too sidetracked into abstract modeling) would be appreciated. 


History-Centrism is one of many key terms introduced by Rajiv Malhotra in his powerful new book 'Being Different' to counter claims of Western universalism by 'reversing the gaze' and analyzing their thought system based on a Dharmic (Indian) framework. Judeo-Christianity is an instance of a membership that subscribes to a HCTS in contrast with Indic schools of philosophy that focus on the inner sciences and are non-dual in nature.

1. Necessary/Sufficient Conditions for History-Centric membership
Stipulates the requirements for becoming a member of a HCTS or get disqualified using the concept of a historical prior. It follows from this formulation that HC implies duality (i.e. with mathematical certainty).

2. Impact of HC belief and duality on stability of HC membership
We analyze the stability of membership of a HCTS and show the stable equilibrium will probably never be reached if a unique non-reproducible prior belief drives the HCTS, i.e., it creates a "proselytize or perish" response to a chronic and self-induced existential question, even in the absence of any local competition.


3. Game-Theoretic analysis of History-centric conflicts & comparison with non-dual groups
Part-A: We differentiate between active and passive duality and attempt a game-theoretic analysis of the nature of resultant conflict between:
- two rival HCTS
- HCTS and non-HCTS
- two non-dual thought systems
and classify them accordingly. The results can provide insight on the response that can be adopted by a non-HCTS to survive in such contests that often tend to be characterized by asymmetric or one-sided payoffs.
Part-B: we study the decision choices available to the participants in such contexts and examine three cases.

4. History-Centrism and Monoculture: How HCTS has motivated the creation of a global master narrative of Western universalism that is the dominant contemporary monoculture. We look at examples of how the reductionism and digestion that characterize a monoculture can suffocate diversity and diminish the authenticity of experience.

Note: The material below has been added after this new model based on History-Centrism was first featured on Rajiv Malhotra's 'Being Different' book website.

5. Contradiction Networks: On how a HCTS model that is subjected to sustained scientific examination over a period of time is characterized by a maze ('network') of contradictions. The management of the HCTS spends more time trying to manage these chains/circuits of contradictions rather than eliminate it's logical source.

6. Duality masquerading as Advaita : As the HCTS model attempts to manage, rather than eliminate its inherent contradictions, it is forced to appropriate useful metaphysical as well as practical self-improvement methods from Dharmic Thought Systems to re-brand itself and project a new image.

7. A programmable model of the History-Centric soul: Unlike the Dharmic Atman, the HC soul is finite, time-limited, bounded, deterministic, and programmable, and also extremely unforgiving by design. The binary end-state / output of this model is only controllable by a third-party owner and depends purely on the keying in of a collectively valid and static input password / coupon rooted in history-centrism. The fear psychosis induced by such a design is arguably the biggest reason why many followers of HC faiths (e.g. Abrahamic religions) tend to relinquish membership after a while, and also why aggressive conversions continue to occur.

8. History Centrism in Western Mathematics: Mainstream western math and science is characterized by a relative over-reliance of historical reputation driven theorems and laws that were themselves based on axiomatic mathematical truth claims rooted in theology. In contrast, Dharmic systems focus on the empirical approach that allows one to re-experience the first discovery via first principles. Rather than rely solely on metaphysical truth, DTS recognizes a pluralism of analytical approaches to the same physical problem, and that a model representation may never be perfect and it is practically useful to not obsess about the unrepresentable that is not relevant to a given context. In the modern world of computing, internet, and artificial intelligence, the DTS based approach is proving its practical efficacy over abstract deductive methods that provide little real-world insight.

9. Yoga: Freedom from History. An attempt to understand the ideas behind Chapter 2 of the book"Being Different". Being history-centric is to be held hostage to some ancient historical prior that can never be authenticated. A double whammy effect of being history-centric is that any scope for salvation is possible only in the infinitely distant future beyond this life and cosmos. Consequently, such a person is unable to live in the present since the keys to happiness are tied to the past and the future, but never the current moment.

Sunday, May 27, 2012

On why Multiculturalism usually doesn't work - Part 1

We kick off the next series of articles that explore the contrasting effects of the 'Synthetic Unity' that defines the west and the 'Integral Unity' that defines India, as discussed in Chapter 3 of the book 'Being Different' (BD) by Rajiv Malhotra. The first three posts in this series serve to motivate and provide contemporary real-world examples that highlight the importance of these concepts by building upon an article "A Working Model for Multiculturalism" that is linked in the articles section of 'Being Different' website.

The author of that post primarily analyzes multiculturalism in a localized office workspace scenario and presents two main arguments:

a. 'Zero' tolerance (or mere tolerance) policy of a company is at best a necessary condition for establishing a multicultural workplace, but one that in itself is insufficient.

b. Mutual respect is a necessary and sufficient condition for achieving a stable, working multicultural solution.

Our post attempts to use these two findings as a starting point and extend them as follows:

1. Apply the idea of 'mutual respect' to a more general setting that goes beyond a local workplace where everybody is typically bound legally by a strict corporate policy.

2. The paradox of sameness.

3. Examine alternative theories developed in the West and contrast it with BD's mutual respect

In the west, multiculturalism experiments have invariably failed because of the lack of mutual respect, which if present, actually encourages multiculturalism and diversity. The United States fares a little better due to the combination of the bill of rights, Abraham Lincoln's legacy, and crucially, the Dharmic Gandhi inspired civil rights movement of Dr. Martin Luther King, but it is not a done deal yet.

Multiculturalism Works When There is Mutual Respect
Rajiv Malhotra in his book 'Being Different' highlights the importance of mutual respect (MR). MR possesses what can be called a multi-layered meaning. The first level is pretty straight forward: you respect me, I respect you, and we get along. Even at this macro-level, MR is superior to tolerance that says: either one or both of us tolerate each other, and we somehow get along. However, MR does not just stop there. Tolerance implies either a single unidirectional relationship (I'm superior and tolerate you) or two one-way relationships filled with anxiety (I tolerate you, and you tolerate me). MR implies a single bi-directional bond based on permanent equality, i.e. our respect for each other must be mutual or not at all, unlike tolerance that is characterized by one or more one-way relationships based on the (seemingly paradoxical) centrifugal notion of sameness. Let's apply these implications of tolerance and MR to a multicultural situation:

Scenario1. In Europe, many leaders have accepted that multiculturalism has either failed or doomed to fail. Why? Our argument: because it is based on tolerance. Both parties want sameness, but the question then is which party must transform to achieve this objective? This requires that either Islamic immigrants adopt the Judeo-Christian/Atheist west's norm, or the West embraces dogmatic Islam. In other words, one of the parties must be digested by the other, but given the irreconcilable differences in the predominantly history-centric thought systems (Islam, Judeo-Christianity, Atheism: see previous blog posts for a detailed discussion of our history-centric modeling approach) neither of these options are really realizable. Instead, the Western governments have set up policies that aim to superficially placate Islam to an extent, and in response, the immigrants have likewise compromised cosmetically to tolerate Western 'decadence'. Not surprisingly, this has resulted in a stalemate characterized by a permanent state of difference anxiety, which can lead to occasional bouts of extreme violence from both parties. Our most recent post on the Virginia Tech and Oikos University shootings argues that the root cause was difference anxiety.

Scenario2. In contrast, look at India prior to Islamic invasions, a subcontinent where multiculturalism is not just an option, there is really no option but multiculturalism. It worked remarkably well for a couple of thousand years until about 800 years of barbaric foreign occupation that only ended 65 years ago. The key reason was that the prevailing Dharmic thought system strongly emphasized mutual respect. Every cultural variation was deemed equally valid, regardless of its geography (North v South or East v West), or it's sub-Dharmic category (Buddhism, Jainism, or Hinduism) and diversity was embraced as a manifestation of the divine (A beautiful article here explains that in a Dharmic thought system, the question was not whether there was one or many gods, because there is only god !!). In game theoretic terms, multiculturalism based on tolerance in Europe veers toward a zero-sum game with each party waiting to see who blinks first, whereas in ancient India, multiculturalism based on mutual respect resulted in a stable and peaceful non-zero sum outcome, where ideas were challenged extremely vociferously but scientifically and rationally via Purva-Paksha debates, obviating the need for state-sponsored bans or violent crusades. Incredibly, a large portion of that Dharma-generated mutual respect still remains intact in contemporary India, and is perhaps the only reason why a hugely diverse India has thrived whereas a monotheistic and apparently homogenous Pakistan has not. However, as non-Dharmic thought systems gain strength (fed by foreign-sponsors and their Indian supporters), we are beginning to see a breakdown of this stable multiculturalism in peacetime India, and one can discern a switch in the language that, increasingly like Europe, talks of compromise and tolerance rather than genuine mutual respect. The outcome of a continued breakdown is not hard to predict.

Why was the outcome of scenario-1, despite the unity via their common Abrahamic ancestry, an unstable stalemate, whereas the result in scenario-2, characterized by amazingly diverse groups of people, mutually beneficial stability? Why does the former produce and rely on mere tolerance and the latter, mutual respect? Part of the answer lies in the contrast between synthetic unity and integral unity, which we will explore in the next post by examining, what we propose and coin, the paradox of sameness.

As always, this blog is a work in progress and is intended to be used as a resource and reference. Updated text, corrections, and new links will show up as time progresses.

Monday, March 5, 2012

Analysis of History-Centrism - Part 3

Part-A: Duality Induced Conflict

Summary of arguments in Part-1 and Part-2
A belief in an unique historical prior is both necessary and sufficient to qualify for membership associated with a History-centric thought system (HCTS), terminology that was introduced by Rajiv Malhotra. HCTS guarantee the bifurcation of space and time into two distinct and mutually exclusive zones, i.e. duality, which among other things implies human centrism. Furthermore, the non-repeatability of the prior over time induces a net outflow of members and a non-trivial stable equilibrium is never achievable. All other things being maintained equal, the membership of a fully decentralized HCTS is probabilistically depleting over time. In other words, any HCTS faces a perennial and self-induced existential question, even in the absence of competition (i.e. even if the HCTS has a local monopoly) from an alternative HCTS.

When a HCTS is faced with such an existential question, it is almost certain that a subset of the membership will erect barriers to exit (e.g. blasphemy laws) and/or provide incentives for entry and re-entry. Regions that are characterized by strong socioeconomic variations ("third world") represent the best (in terms of per-capita success per dollar invested) candidates to compensate for a loss in membership in the more prosperous areas. A penalty for non-entry is also common (e.g. Jeziya tax or religious discrimination) and has been prevalent in every major instance of HCTS the world has seen in history.

Active and Passive Duality
This constant need for a HCTS to answer such an self-induced existential question leads to the notion of a 'strong duality' or 'active duality', as compared to the 'nominal duality' or 'passive duality' that is guaranteed in every HCTS. Passive duality is a situation where a group simply differentiates between an 'us' and a 'them', those 'within' and those without. However, it does not automatically imply hostility and a call to arms or to discriminate. Tolerance is a typical example of such a state of mind. However, such a state is most likely to be a transitional and short-lived given that the constant depletion in membership can only be made up in the long run by gaining or regaining market-share.

Active duality is a situation where a HCTS group will almost surely regard any non-member as an adversarial competitor. Such a competitor need not be from another HCTS and only needs to be a non-subscriber to the necessary conditions for membership. For example, it could be a person from a Dharmic thought system (DTS), atheism, or modern science, all of which are non HCTS since they are not defined based on a belief in an unique prior. Active duality involves hostile competition with non-members for increasing market share. Note that such an active duality implies an objective of increasing membership size relative to its competitors at any given location, the mechanics of which are better understood using game theoretic arguments. If the adversary does not respond or is even unaware that it is being targeted, it gets digested, i.e., its most useful ideas and applications are appropriated in a manner that is consistent with the necessary condition for membership (e.g. conquest of Arabic Pagans and Persia). We now present the game theoretic aspects of active duality.

Effect of Active Duality: Zero Sum Game
Postulate: A two-person competition between memberships of two thought systems:
a) where participants subscribe to conflicting HCTS, can be represented as a zero-sum game
b) exactly one participant subscribes to an HCTS, can be modeled an symmetric or asymmetric zero-sum game
c) both participants subscribe to non-dual thought systems, can be modeled as a non zero-sum game

Outline of Proof: Based on the stable-membership theorem (postulate), HCTS based membership size will never achieve stable equilibrium. If it stops growing via extraneous methods, it diminishes. Consequently, from a HCTS perspective, such competition necessarily focuses on the payoff achieved by increasing its market-share at the expense of a competitor. If the participant subscribes to a hostile HCTS, then the membership gained by one HCTS is deemed as lost by the other and thus represents a classic zero-sum game. On the other hand, if a non-HCTS participant does not attach value to increasing market-share, it injects asymmetry into the payoff structure. In fact, unless the non-HCTS participant attaches a suitable payoff value toward (at least) maintaining current market share, it will be at an overwhelming disadvantage under the skewed and asymmetrical payoff structure. In contrast, non-adversarial competition that involves non-dual schools of thought would focus on decentralized inward-looking themes that are not mutually exclusive and win-win situations are not only possible, but also practically achievable and sustainable.

The crusade is the best example of an active-duality induced zero-sum game. The extermination of the Aborigines in Australia and the conquest of Buddhism in India are examples of outcomes of an asymmetric zero-sum game. A good example of a non zero sum game involved the Hindu and Buddhist schools in ancient India where the debates that centered on conflicting metaphysical truth claims were intellectual (it certainly did not involve any systematical discriminatory practices) and required a profound understanding of the opponent's point-of-view, and represents a form of cooperative competition that resulted in amazing progress in science and philosophy that benefited both sides and remains one of humanity's truly divine achievements. For example, it is well known that several Hindu kings made generous endowments to the Nalanda University that was primarily Buddhist-oriented. It is not surprising that Nalanda was annihilated by members of a HCTS in a never-ending quest for market share.

As we can see above such conflicts caused by duality lead the participants (both willing and the unwilling) to constantly re-examine their tactics as well as long-term strategy. In part-B of this post, we analyze the nature of the choices available to participants in this regard.




Part-B: Participant response in Duality-Driven Conflicts

The Yogi's Dilemma
A beautiful Dharmic idea for case (b) is presented by Rajiv Malhotra where one participant is Dharmic ("Yogi archetype") and the other is History-Centric ("Gladiator archetype"), which fits well with the underlying game-theoretic model. As we observed before, the Dharmic participant is not prone to violence, but may have to fight back or get either annihilated or digested. However, by fighting back he/she runs the serious risk of turning into a gladiator himself/herself, i.e win a 'historic personal victory' that potentially becomes a focal 'faith' point for future followers, thereby injecting a degree of history-centrism into a previously non-dual system. This is the Yogi's dilemma associated with such a asymmetrical zero sum game. Per Rajiv Malhotra, the Yogi has two ways of resisting while continuing to remain a Yogi after the struggle. Either adopt a Gandhian non-violent approach and hopefully shame the other into withdrawing. The alternative is to first attempt the Ahimsa method and if that fails, follow the Bhagavad Gita and fight the gladiator with violence but without any self-interest whatsoever. Both are incredibly difficult to achieve because of human ego.

The Porcupine's Dilemma

Consider two clashing HCTS attempting to come to a truce or understanding as a temporary solution to the zero-sum game they are playing. How would such a relationship play out?

Step 1: They recognize their considerable similarities (monotheism, male God, history-centrism, and duality-driven beliefs). These act as centripetal forces that brings them closer.

Step 2: When they get close enough and understood the similarities, they recognize the key history-centric differences that are absolutely irreconcilable with respect to each of their chosen historical priors P1 and P2, which causes them to drift apart, thereby resuming their war of attrition.

After a period of time, as a consequence of certain events, they cycle through Steps 1 and 2, resembling two porcupines who would like to be friends but are unable to get too close because of their sharp quills. The conclusion from this is that nations driven by differing HCTS are unlikely to become permanent friends.

The Prisoner's Dilemma
This is a popular concept in game theory. Its general usage indicates situations where two opposing forces have to decide if it is a better strategy to cooperate rather than fight it out despite having the same objective in mind. In particular, we apply this to the situation where we have two different thought systems trying to capture market share from within a local population.

Example 1: In India, the last Mughal rulers in the 18th and 19th century did not appear to cooperate with the British [to be verified].

Example 2: On the other hand, we have a current situation in India where an atheistic thought system (Indian Communists) that was opposed to theistic groups in the past, appears to have decided that its best strategy is to cooperate with HCTS groups (evangelists and mullahs) even as these parties seeking to entice members away from the predominantly Dharmic thought system into their fold. See this interesting roadside poster in Kerala, India [from the Deccan Chronicle newspaper, 2011]:


It is possible that a similar situation may be prevailing in Europe as well with atheistic groups (left liberals) cooperating with mullahs to score over the established Christian thought system.

Update: April 28, 2012
Below is a "histomap" (courtest Maria Popova) that depicts a western-centric view of the ebbs and flows of world powers over four thousand years. It is apparent that this domination is measured largely in terms of military power, given that culturally and economically, Dharmic thought system based India / Hindus/Buddhists/Jains had a pretty large market share along these dimensions for quite a while prior to the Islamic invasion.